16 divided by a number minus four is 40

Answers

Answer 1

Answer:

16/x - 4 = 40

16/x = 44

16 = 44x

16/44 = 44x

Hope this helps! pls rate me!

Step-by-step explanation:


Related Questions

Consider the enlargement of a triangle that has a scale factor of 7.5.
A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a.
Area Original = 1
2
(5)(2) = 5 cm2
What is the area of the enlarged triangle? cm2

Answers

Answer:    ✔ 281.25

Step-by-step explanation:

Answer:

281.25

Step-by-step explanation:

It is correct E d g e n u i t y

I need help on this please can someone help me with this

Answers

Answer:

C. 11

Step-by-step explanation:

First, find the value of "x" by solving the first equation. You need to move every other number to the other side of "x". When you move a number, you have to do the opposite operation to both sides.

5x + 6 = 10     The opposite of +6 is -6.

5x + 6 - 6 = 10 - 6     Subtract 6 from both sides

5x = 10 - 6       The "6" on the left cancelled out. Simplify the right side

5x = 4          The opposite of multiply by 5 is divide by 5

5x/5 = 4/5           Divide both sides by 5

x = 4/5           Value of "x"

Substitute the value of "x", which is 4/5, in the "x" for the second equation.

10x + 3

= 10(4/5) + 3             Multiply 10 and 4/5

= [tex]\frac{10*4}{5}[/tex] + 3        Combine into the numerator

= [tex]\frac{40}{5}[/tex] + 3         Divide the top by the bottom

= 8 + 3             Add

= 11                  Value of second equation

Therefore the value of 10x + 3 is 11.

13-9-x/11=3x/22+121/2

Answers

Answer:

x=-248 3/5

Step-by-step explanation:

13-9-x/11=3x/22+121/2

4-x/11=3x/22+121/2

4-121/2=3x/22+x/11

8/2-121/2=3x/22+2x/22

-113/2=5x/22

5x/22=-113/2

5x=(-113/2)*22

5x=-113*22/2

5x=-113*11

x=-1243/5

x=-248 3/5

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12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
ticket sales the school sold 5 senior citizen tickets and 9 student tickets for a total of $144. The
school took in $192 on the second day by selling 14 senior citizen tickets and 6 student tickets.
What is the price each of one senior citizen ticket and one student ticket?

Answers

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

If NS = 2x + 7 and SQ = 5x - 23, find NQ

Answers

Incomplete Question Consider here NS = SQ then we may solve for NQ

Answer:

Therefore,

[tex]NQ=54\ units[/tex]

Step-by-step explanation:

Consider N -S -Q as a Straight line as shown in the figure below such that,

[tex]NS = 2x + 7[/tex]

[tex]SQ = 5x -23[/tex]

[tex]NS =SQ[/tex] ..............Consideration

To Find:

NQ = ?

Solution:

[tex]NS =SQ[/tex]   .....Given Consideration

Substituting the values we get

[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]

Therefore,

[tex]NS = 2\times 10 + 7 = 27[/tex]

[tex]SQ = 5\times 10 -23=27[/tex]

N -S-Q is a Straight Line,

Then BY Line Addition Postulate,

[tex]NQ=NS+SQ[/tex]       ...............N-S-Q

Substituting the values we get

[tex]NQ=27+27=54\ units[/tex]

Therefore,

[tex]NQ=54\ units[/tex]

Add
(-1 - i) + (-10 + 3i)

Answers

Answer:

the sum of the 2 expressions is -11+2i.

Step-by-step explanation:

-1-10=-11

-i+3i=2i

-11+2i

The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.

1
5
• 5 = 1

√2 (
1
√2
) = 1

Inverse property of multiplication: For all real numbers except , a • = 1.

Answers

Answer:

[tex]\text{Inverse property of multiplication: For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]

Explanation:

These are the examples given to illustrate the inverse property of multiplication:

         [tex]1/5\cdot 5=1\\\\ \sqrt{2}\cdot (1/\sqrt{2})=1[/tex]

And you must complete the statement to describe the property.

Inverse property of multiplication: For all real numbers except __, a • __ = 1.

In the first example, 1/5 and 5 are reciprocal numbers of each other, also known as multiplicative inverses. And the example is showing that the product of 1/5 and its reciprocal is 1.

In the second example,    [tex]\sqrt{2}\text{ and }(1/\sqrt{2})[/tex]    are reciprocal of each other. Again, the example is showing that the product of those a number at its reciprocal is 1.

That is a general property, that can be written as:

             [tex]a\cdot 1/a=1[/tex]

That property is satisfied by any number except 0, because the reciprocal of    [tex]0[/tex]  , i.e.    [tex]1/0[/tex]    is not defined.

Then, the statemen is:

[tex]\text{For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]

The statement that best describes the inverse property of multiplication is: Inverse property of multiplication: For all real numbers except 0, a * a⁻¹ = 1.

This means that if you multiply a number by its reciprocal, you will always get 1.

The examples you provided illustrate this property nicely:

5 * 1/5 = 1

√2 * 1/√2 = 1

Note that the inverse property of multiplication does not hold for the number 0, because the reciprocal of 0 is undefined.

Here is another example of the inverse property of multiplication:

3 * 1/3 = 1

You can check any other real number and its reciprocal, and you will always find that the product is 1.

The inverse property of multiplication is a useful property in mathematics, and it is used in many different areas, such as algebra, calculus, and physics.

For such more question on multiplication

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Assume that y varies directly with x. If y = -15 when x = -5, find y when x = 3.
Write and solve a direct variation equation to find the answer.
y=

Answers

Answer: Y = 9

Step-by-step explanation:

Y & X

Y = KX

K = Y / X = - 15 / - 5 = 3

X = 3

K= 3

Y=?

Y = KX = 3 x 3 = 9

Therefore, when X = 3, Y = 9

Number 24 only please help me please

Answers

Check the picture below.

the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.

now, let's simply use proportions for those similar triangles.

[tex]\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}[/tex]

What number is halfway between .2 and .3

Answers

Final answer:

The number halfway between 0.2 and 0.3 is 0.25, which is found by adding the two numbers and dividing the total by 2.

Explanation:

The number halfway between 0.2 and 0.3 can be found by calculating the average of the two numbers. To find the average, you add the two numbers together and then divide by 2.

To show the steps:

Add 0.2 and 0.3 together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the midpoint: 0.5 ÷ 2 = 0.25.

Therefore, the number that is halfway between 0.2 and 0.3 is 0.25.

The number halfway between 0.2 and 0.3 is 0.25.

To find the number halfway between 0.2 and 0.3, you calculate the average of the two numbers. Here's the step-by-step process:

Add the two numbers together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the average: 0.5 / 2 = 0.25.

So, the number halfway between 0.2 and 0.3 is 0.25. This method ensures that you find the exact midpoint between two values.

If the equation of a function is y = x2 - 5, what is the output when the input is -1?

Answers

Answer:

y = - 4

Step-by-step explanation:

The output is the value of y for a given input x

For an input of - 1, substitute x = - 1 into the equation.

y = (- 1)² - 5 = 1 - 5 = - 4 ← output

please help REAL ANSWERS ONLY

Answers

Use the distance formula: sqrt((x2-x1)^2+(y2-y1)^2)

Plug in variables:

sqrt((-3-2)^2+(5-8)^2)

sqrt((-5)^2+(-3)^2)

sqrt(25+9)

sqrt(34)

Rounded to the nearest tenth is 5.8 units

Hope this helped.

If there is a 61% chance that carol gets accepted to Andover university, what is the chance, or probability, that carol does not get accepted

Answers

Answer: if I am correct it is 39%

Step-by-step explanation:

On a map with a scale of 2 cm = 1 km, the
distance from Beau's house to the beach is
4.6 centimeters. What is the actual distance?
A 2.3 km
B 4.6 km
© 6.5 km
D 9.2 km

Answers

Answer:

A. 2.3km

Step-by-step explanation:

Since 2cm = 1km

4.6cm = xkm

xkm = 4.6 x 1 / 2

= 2.3km

Answer:

I would believe that the answer is A. 2.3 km

Step-by-step explanation:

If 2cm=1km

then 4cm=2km

not to mention the km is 1/2 or the cm

so i would believe that .6cm would be .3km

therefore the answer must be 2.3km

What is 199000/10000 as a decimal?

Answers

Answer:

19.9

Step-by-step explanation:

divide 199000 by 10000

=19.9

Answer:

19.9

Step-by-step explanation:

QUESTION 4 of 10: Your restaurant purchases 1,625 bottles of Chablis per year. The annual increase of purchases has been 6%. If this
increase continues for 5 years, what will be your average increase in bottles purchased per year over that time?
a) 110 bottles
b) 190 bottles
c) 260 bottles
d) 400 bottles

Answers

Answer:

A - 110

Step-by-step explanation:

So if it is 6% increase you would times the number by 1.06. So you would do this like 5 times:

1,625 x 1.06 = 1722.5

1722.5 x 1.06 = 1825.85

1825.85 x 1.06 = 1935,401

1935.401 x 1.06 = 2051,52506

2051.52506 x 1.06 = 2174,6165636

Now you have the total number of bottles after 5 years, you would find the increase which is 2174.6165636 - 1,625 ≈ 550. 550 / 5 = 110

A

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

The average increase in bottles purchased per year over that time is c) 110 bottles.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

Now it is given that,

Number of bottles purchased per year, a = 1,625

Percentage increase per year, r = 6% = 0.06

Total time period, n = 5 years

Since, the equation of a exponential growth function is given as,

y = a(1 +r)ⁿ

⇒ y = 1625(1 +0.06)⁵

⇒ y = 1625(1.06)⁵

⇒ y = 1625*1.338

⇒ y = 2,175

Therefore, average increase in bottles purchased per year over that time   = (2175 - 1625) / 5

= 550 / 5

= 110 bottles

Thus, the average increase in bottles purchased per year over that time is c) 110 bottles.

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Write an expression to represent:
"15 times a number w"

Answers

Answer:

15×w

Step-by-step explanation:

15 times w is a number bigger 15 times or added up again and again 15 times:

w+w+w+w+w+w+w+w+w+w+w+w+w+w+w or 15×w

Final answer:

The expression to represent "15 times a number w" is written as 15w. Substituting ½ for w would lead to the multiplication 15 × ½, resulting in 7.5.

Explanation:

To represent the phrase "15 times a number w," you would write the algebraic expression 15w. This is accomplished by using the coefficient 15 to indicate that the number w is being multiplied by 15. So, if you were to substitute the value ½ for w into this expression, you would perform the multiplication 15 × ½ to get the result, which simplifies to 7.5.

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Immediately after jumping out of a plane, a 65kg skydiver starts to fall towards the
Earth with an acceleration of 9 8ms? Calculate the downwards force on the
skydiver at the instant he leaves the plane (show working):​

it's physics not maths don't know how to change it

Answers

Answer:637kgms-2

Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2

The 5th power of what number is equal to 3^15?

Answers

3^15 = 14,348,907

Which means...

x^5 = 14,348,907

If we execute [tex]\sqrt[5]{14348907}[/tex] and do the same with x^5 we get...

x = 27

So the 5th power of 27 is equal to 3^15.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

The fifth power of the number 27 is equal to 3¹⁵.

To find the fifth power of a number that is equal to 3¹⁵, we need to determine what number raised to the power of 5 gives us 3¹⁵.

Let's call the number we are looking for "x." So, we need to solve the equation:

x⁵ = 3¹⁵

To find x, we can take the fifth root of both sides of the equation:

x = (3¹⁵[tex])^{(1/5)[/tex]

x = 3³

x = 27

This means that if we raise 27 to the power of 5 (27⁵), we will get 3¹⁵ (3 raised to the power of 15).

In conclusion, the number we are looking for is 27, as 27^5 is equal to 3¹⁵.

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Can you please help me just need the answer pls.please need help

Answers

Answer:

20

Step-by-step explanation:

The product of t and three is 13.5

Answers

Answer: t = 4.5

Step-by-step explanation: 13.5/3 = 4.5

Answer:

T = 4.5

Step-by-step explanation:

The way to solve this is simple.

You just have to divide 13.5 by 3

and then you get the answer of 4.5!

Hope this helped!

~Oreo!!

Western North Carolina Woods have a deer population density of 3.5 deer per acre. If there are a total of 435 deer, how many acres are in this parcel of woods?

Answers

There are about 124.29 acres in this parcel woods

Step-by-step explanation:

The given is:

Western North Carolina Woods have a deer population density of 3.5 deer per acreThere are a total of 435 deer

We need to find how many acres are in this parcel of woods

∵ The population density = 3.5 deer per acre

- That means 1 acre for every 3 dears

∵ There are a total of 435 deer

∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres

- By using cross multiplication

∴ 3.5 × x = 1 × 435

∴ 3.5 x = 435

- Divide both sides by 3.5

∴ x = 124.29

There are about 124.29 acres in this parcel woods

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How do you solve it

Answers

Answer:

Step-by-step explanation:

400-65=335

A scale diagram of a garden shows the length as 14.5 cm. If the scale is 1:150, what is the actual length? The garden is m in length

Answers

Final answer:

The actual length of the garden is 2175 cm.

Explanation:

To find the actual length of the garden, we can use the scale. The scale indicates that 1 cm on the diagram represents 150 cm in real life. Since the length on the diagram is 14.5 cm, we can multiply this length by the scale factor to find the actual length.

Actual Length = Length on Diagram × Scale Factor = 14.5 cm × 150 = 2175 cm

Therefore, the actual length of the garden is 2175 cm.

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Find the greatest common factor (GCF) of both terms 30 and 60

Answers

Answer:

30

Step-by-step explanation:

Be sure to explain your reasoning.

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?

Answers

Answer:

Sally need  [tex]5\frac{1}{3}[/tex]  cups of orange juice.

Step-by-step explanation:

Given:

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.

If she uses 2 cups of pineapple juice.

Now, to find the cups of orange juice.

So, to solve by using unitary method:

As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.

So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]

[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]

[tex]=\frac{8}{3}[/tex]  cups.

Thus, 2 cups of pineapple juice is needed for orange juice  of  = [tex]\frac{8}{3} \times 2[/tex]

= [tex]\frac{16}{3}[/tex]

= [tex]5\frac{1}{3}[/tex] cups.

Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.

Which expression shows a way to find 20% of 950?
950
20
20
What is it

Answers

Final answer:

To find 20% of 950, first convert the percentage to a decimal (20% becomes 0.20) and then multiply that value by 950. The mathematical expression representing this calculation is 0.20 x 950, which yields the result: 190.

Explanation:

The question is asking about how to find 20% of 950 in mathematics. Here's how you do that:

First, turn the percentage into a decimal. 20% becomes 0.20 in decimal form because percent means 'per hundred'. Thus 20 per hundred is 0.20 as a decimal.Next, to find 20% of 950, you multiply the decimal form of the percentage (0.20) by 950. The mathematical expression that represents this operation is: 0.20 x 950.Therefore, 20% of 950 equals 190.

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Final answer:

To find 20% of 950, convert 20% to decimal form as 0.20 and multiply it by 950. The result of this calculation is 190, which represents 20% of 950.

Explanation:

The expression to find 20% of 950 is obtained by multiplying 950 by the percentage in decimal form. Since 20% as a decimal is 0.20, you multiply 950 by 0.20 to find the answer. The calculation is as follows:

Convert the percentage to a decimal: 20% = 0.20Multiply the value by the decimal percentage: 950 × 0.20Calculate the result: 950 × 0.20 = 190

So, 20% of 950 is 190.

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The round wading pool at the Greenville Community Center has a diameter of 8 feet. What is the pool's circumference? use 3.14 for pi

Answers

Answer:

25.12 feet

Step-by-step explanation:

To find the circumference of the round wading pool with an 8-foot diameter using 3.14 for pi, the formula C = πd is used, resulting in a circumference of 25.12 feet.

The question is asking to find the circumference of a round wading pool with a diameter of 8 feet using 3.14 for pi. The formula for the circumference of a circle is C = πd, where C represents the circumference, π (pi) is approximately 3.14, and d is the diameter of the circle. Given that the diameter (d) of the pool is 8 feet, we substitute the values into the formula to get:

C = 3.14 × 8 feet = 25.12 feet

Therefore, the circumference of the wading pool is 25.12 feet.

Help please! these questions are really confusing me

Answers

Answer:

Figure 1: Option A :   [tex]$ \sqrt{\frac{\textbf{3}}{\textbf{2}}} $[/tex] ;   [tex]$ \frac{\textbf{1}}{\textbf{2}} $[/tex] ;  [tex]$ \sqrt{\textbf{3}}} $[/tex]

Figure 2: Option B: [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{10}} $[/tex] ;     [tex]$ \frac{\textbf{9}}{\textbf{10}} $[/tex] ;  [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{9}} $[/tex]

Figure 3: Option C:  [tex]$ \frac{\textbf{4}}{\textbf{5}} $[/tex]  ;  [tex]$ \frac{\textbf{3}}{\textbf{5}} $[/tex] ;  [tex]$ \frac{\textbf{4}}{\textbf{3}} $[/tex]

Step-by-step explanation:

[tex]$ \textbf{Sin A} \hspace{1mm} \textbf{= } \hspace{1mm} \frac{\textbf{opp}}{\textbf{hyp}} $[/tex]

[tex]$ \textbf{Cos A} \hspace{1mm} {\textbf{=} \hspace{1mm} \frac{\textbf{adj}}{\textbf{hyp}} $[/tex]

[tex]$ \textbf{Tan A} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{Sin A}}{\textbf{Cos A}} $[/tex]

We can simply follow these three formulas to solve the problem.

Figure 1:

Sin A = [tex]$ \frac{6\sqrt{3}}{12} $[/tex]  = [tex]$ \frac{\sqrt{3}}{2} $[/tex]

Cos A = [tex]$ \frac{6}{12} = \frac{1}{2} $[/tex]

Tan A = [tex]$ \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}} $[/tex]  = [tex]$ \sqrt{3} $[/tex]

Figure 2:

Sin A = [tex]$ \frac{2\sqrt{19}}{20} $[/tex]  = [tex]$ \frac{\sqrt{19}}{10} $[/tex]

Cos A = [tex]$ \frac{18}{20} = \frac{9}{10} $[/tex]

Tan A = [tex]$ \frac{\frac{\sqrt{19}}{10}}{\frac{10}{9}} $[/tex] = [tex]$ \frac{\sqrt{19}}{9} $[/tex]

Figure 3:

Sin A =   [tex]$ \frac{16}{20} $[/tex]   = [tex]$ \frac{4}{5} $[/tex]

Cos A = [tex]$ \frac{12}{20} = \frac{3}{5} $[/tex]

Tan A = [tex]$ \frac{\frac{4}{5}}{\frac{3}{5}} $[/tex]  = [tex]$ \frac{4}{3} $[/tex]

Hence, the answer.

Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​), respectively. The epicenter of an earthquake is determined to be 10 units from X​, 5 units from​ Y, and 13 units from Z. Where on the coordinate plane is the epicenter​ located?
Find the coordinates of the epicenter.

Answers

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

Other Questions
If the coefficient of static friction is 0.357, and the same ladder makes a 58.0 angle with respect to the horizontal, how far along the length of the ladder can a 69.1-kg painter climb before the ladder begins to slip? A client asks his accountant to ignore a mistake which overstated the accounts receivable account. The accountant decides that the accounts receivable account has to be corrected to state the correct amount based on the current accounting rules. Which stage of Kohlberg' Stages of Moral Development is the accounting reasoning?A. Stage 2 B. Stage 3 C. Stage 4 D. Stage 5 Growing rain gardens like the one shown here is one way communities can help the environment. These shallow gardens containnative plants with deep roots, wild grasses, and flowers. They are established near runoff sources, like driveways, to catch rainwaterbefore it flows into sewers and ditches. Capturing clean rainwater helps replenish local groundwater, instead of going to waste downa sewer. Rain gardens naturally infiltrate water that may have picked up chemicals from lawns, roofs, or driveways while alsoproviding a habitat for local wildlife. Based on this information, what is another environmental benefit of rain gardens?es )They absorb air pollution caused by local factories.They prevent weeds from killing non-native plant life.They provide native fruits and vegetables for farmer's markets.They soak up excess water that can potentially lead to flooding.SubmitEcology and InterdependencePlease help A)they absorb air pollution caused by local factories B)they prevent weeds from killing non native plant lifeC)they provide native fruits and vegetables for farmers markets D)they soak up excess water that can potentially lead to flooding a.Which of the following statements about relationships is not true?Relationships have different stages.There are different types of relationships.c. Strong relationships never change.Relationships develop at different rates,Please select the best answer from the choices providedo o o oI oOo The exponents in a rate law can be found: Select the correct answer below: O from the stoichiometric coefficients of the reaction O from the molar masses of the compounds O by experiment only O none of the above 3x to the power of the 4th - x to the second power - x to the second power-5x to the power of 4 +3 which of the following statements characterizes Germany in the 1920s?a. the rate of unemployment fell sharply.b. the country became more unified politically.c. the german communist party lost many of its members.d. the country faced severe economic problems. When you isolate the variable,the goal is to get the variable How does the potential energy of reactants compare to the potential energy of products in an endothermic reaction? The nominal interest rate is 7% on a 1-year loan for $1,000. The lender had anticipated an inflation rate of 2% for the coming year. During the year, however, the economy experienced deflation of 4%. In this case:a. the borrower is hurt and the lender is helped by deflation.b. the borrower is helped and the lender is hurt by deflation.c. there is no benefit or harm either to the borrower or the lender.d. the effects on the borrower and the lender depend on their respective tax rates.e. both the borrower and lender are hurt by deflation. what method can scientists use to determine when the fossil above appeared on earth? Let us first concentrate on the central value. take f0 = n and 0 = . find the central value of fx, in n Complete function PrintPopcornTime(), with int parameter bagOunces, and void return type. If bagOunces is less than 2, print "Too small". If greater than 10, print "Too large". Otherwise, compute and print 6 * bagOunces followed by " seconds". End with a newline. What is the answer of this question -Calculate the bit rate required for a UHD TV whose picture resolution is 3840 pixels wide by 2160 tall. Change the verb into its noun form.allow ________a0 If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pay for them this year? What is the probability that a mother with type AB blood and a father with type O blood will have a child with type O blood? Which diagram best explains a cause and effect relationship that has shapedU.S. politics?hascontributedtoThe broadavailability ofpublic campaignfundsThe dominance ofthe two majorpartieshavecontributed.toLong-establishedparty loyaltiesThe existence ofmany influentialpolitical partieshavecontributedto.Winner-takes-allelectionsThe dominance ofthe two majorpartieshascontributedODMajority rule inCongressThe existence ofmany influentialpolitical parties The greatest height reported for a jump into an airbag is 99.4 m by stuntman Dan Koko. In 1948 he jumped from rest from the top of the Vegas World Hotel and Casino. He struck the airbag at a speed of 39 m/s (88 mi/h). To assess the effects of air resistance, determine how fast he would have been traveling on impact had air resistance been absent. Jack, a manager with Tiny Tots Toy Company, has just participated in a meeting that looked at future trends in the toy industry, and identified new challenges and opportunities for Tiny Tots. Jack's participation in this meeting was part of which function of management? A) Planning B) Financing C) Accounting D) Directing E) Controlling F) Management G) Organizing