Select the correct answer.
AB and BC form a right angle at point B. If A= (-3,-1) and B = (4,4), what is the equation of
O A.
x + 3y = 16
B. 2x + y = 12
C.-7x- 5y = -48
D. 7x - 5y = 48​

To find the numbers, we can set up a system of equations and solve for the variables.

Let's represent the numbers as x and y. According to the problem, one number is 6 more than the other. This can be written as:

x = y + 6

The sum of the numbers is 30. This can be written as:

x + y = 30

We can solve this system of equations by substituting the value of x from the first equation into the second equation:

(y + 6) + y = 30

Combining like terms:

2y + 6 = 30

Subtracting 6 from both sides:

2y = 24

Dividing by 2:

y = 12

Now, we can substitute the value of y back into the first equation to find the value of x:

x = 12 + 6

x = 18

Therefore, the two numbers are 12 and 18.

Answer:

I'd don't now

Step-by-step explanation:

ok am sorry

Answer:

Debt

Step-by-step explanation:

Let's say someone uses debit instead of credit and they don't have any money in their account. If used multiple times you could potentially end up owing the bank (be in debt) .

Negative numbers are used in real-world contexts to describe temperatures below zero, financial debts, or elevations below sea level, helping to clearly indicate quantities that are less than a referenced zero point.

You would use a negative number to describe a real-world amount when talking about temperatures below zero, debts, or elevations below sea level, among other scenarios. For example, if the temperature is 5 degrees below zero, it could be represented as -5°C. This indicates that it is 5 degrees colder than the point at which water freezes (0°C). Another example is financial: if you owe $100, you could represent your account balance as -$100, indicating a debt. Similarly, a town located 100 meters below sea level could have its elevation represented as -100 meters.

These examples show how negative numbers can effectively convey quantities less than zero in various real-world contexts, providing a clear understanding of situations where values are lacking or in deficit compared to a reference point.

Answer:

245=2.45

7/50=0.14

Step-by-step explanation:

divide by 100

USE MATHAWAY DOT COM!!

70 adults and 100 children attended the carnival.

Step-by-step explanation:

Given,

Cost of each adult ticket = $10

Cost of each child ticket = $5

Total tickets sold = 170

Total revenue generated = $1200

Let,

Number of adults = x

Number of children = y

According to given statement;

x+y=170      Eqn 1

10x+5y=1200    Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=170)\\10x+10y=1700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](10x+10y)-(10x+5y)=1700-1200\\10x+10y-10x-5y=500\\5y=500[/tex]

Dividing both sides by 5

[tex]\frac{5y}{5}=\frac{500}{5}\\y=100[/tex]

Putting y=100 in Eqn 1

[tex]x+100=170\\x=170-100\\x=70[/tex]

70 adults and 100 children attended the carnival.

Keywords: linear equation, elimination method

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Answer:

[tex]\delta=\frac{\epsilon}{3}[/tex]

The proof is in the explanation.

Step-by-step explanation:

Compare [tex]\lim_{x\rightarrow 7}(3x-2)=19[/tex] to [tex]\lim_{x\rightarrow a}f(x)=L[/tex].

We want to find  [tex]\delta[/tex] such that whenever [tex]0<|x-a|<\delta[/tex] we have [tex]|f(x)-L|<\epsilon[/tex].

We want to find [tex]\delta[/tex] such that whenever [tex]0<|x-7|<\delta[/tex] we have [tex]|3x-2-19|<\epsilon[/tex].

[tex]|3x-2-19|<\epsilon[/tex]

Simplify:

[tex]|3x-21|<\epsilon[/tex]

Factor on left side inside the | |:

[tex]|3(x-7)|<\epsilon[/tex]

|ab|=|a||b|:

[tex]|3||x-7|<\epsilon[/tex]

|3|=3:

[tex]3|x-7|<\epsilon[/tex]

Divide both sides by 3:

[tex]|x-7|<\frac{\epsilon}{3}[/tex]

So we will need to choose [tex]\delta=\frac{\epsilon}{3}[/tex].

We want to prove there exists a [tex]\delta[/tex] such that whenever [tex]0<|x-7|<\delta[/tex] we have [tex]|f(x)-L|<\epsilon[/tex].

Proof:

Let [tex]\epsilon>0[/tex]. We will choose [tex]\delta=\frac{\epsilon}{3}[/tex] such that [tex]0<|x-7|<\delta[/tex] will give us [tex]|f(x)-L|<\epsilon[/tex].

[tex]|f(x)-L|=|(3x-2)-19|[/tex]

        [tex]=|3x-21|[/tex]

        [tex]=|3||x-7|[/tex]

        [tex] =3|x-7|<3\delta=3\frac{\epsilon}{3}=\epsilon[/tex].

Therefore, we have for all [tex]\epsilon>0[/tex], [tex]\delta=\frac{\epsilon}{3}[/tex] is the number that satisfies the definition.

Evaluate the inside absolute values first:

17-|16*9|

17-|144|

17-144

-127

Hope this helped!

Answer:

d

Step-by-step explanation:

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

Answer:

35+65+80=180

Step-by-step explanation:

the total interior angle of a triangle is 180

Answer:

its the third answer

[tex]35 \: \: 65 \: \: 80[/tex]

Step-by-step explanation:

because the addition of a interior angles has to be 180.'

Answer:

-2x-5

Step-by-step explanation:

Answer:

 the answer is 240

Answer:

240

Step-by-step explanation:

i used a calculator

Answer:

W=41

Step-by-step explanation:

You have to isolate the W, so you have to carry the -4 to the other side. You do the opposite, so for a -4, you have to +4 to cancel it out. Whatever you do to one side, you have to do to the other and 37+4=41

Answer:

41

Step-by-step explanation:

Answer:

k = 4

Step-by-step explanation:

-8|4k-10|=-48

|4k-10|=-48/-8

|4k-10|= 6

4k = 6+10

4k = 16

k = 4

conducting the survey as visitors leave the park

The park manager wants to figure out how people like the park so she will conduct the survey as people leave the park.

Final answer:

The most representative sample for a survey on park facilities satisfaction would be obtained by conducting the survey as visitors leave the park, ensuring a broad and unbiased cross-section of park users are included.

Explanation:

The question asks which method would provide the most representative sample for a survey about how people like the park facilities. The most representative sample would be achieved by conducting the survey as visitors leave the park. This method ensures a wide cross-section of park users are surveyed, capturing various interests and usage patterns of the park facilities, from those who come for leisure activities at the softball diamond or playground to those seeking quiet contemplation or exercise.

Conducting the survey in other locations like a shopping mall or specific areas within the park, such as the softball diamond or playground, would likely bias the results. Surveying at a shopping mall doesn't guarantee participants have visited or are familiar with the park, and focusing solely on one area within the park would not capture the diverse usage and opinions of all park visitors. Therefore, surveying as visitors leave the park is the most inclusive and unbiased approach to understanding how the facilities meet the needs of the community.

Answer:

175% increase

Step-by-step explanation:

(3.5 / 2) * 100 = 175%

Answer:

16

Step-by-step explanation:

(3x - 1) + 2

(3(5) - 1) + 2

(15 - 1) + 2

14 + 2

16

Answer:

16

Step-by-step explanation:

Start by plugging in 5 for x in the equation.

(3 x 5 - 1) + 2

Next do the multiplication.

15 - 1 + 2

Add and subtract.

16

You have your answer.

Hope this helped.

Answer:

(x, y) =(-6,4)

Step-by-step explanation:

3x-y=-28

-5x-4y=-10

y=3x+28

-5x-4(3x+28)=-10

y=3x+28

-5x-12x-112=-10

y=3x+28

-17x=-10+112

y=3x+28

-17x=102

y=3x+28

x=102/(-17)

y=3x+28

x=-6

y=3*(-6)+28

x=-6

y=-24+28

x=-6

y=4

x=-6

(x,y)=(-6,4)

If you add 10 and then subtract 1, you get the same result as if you just added 9.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have to add 24+9 by making 10s.

As per the given question, the required solution would be as:

24 + 10 - 1 = 33

Therefore, if you add 10 and then subtract 1, you get the same result as if you just added 9.

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Final answer:

To add 24 and 9 using tens, break 9 into 6 and 3, add 6 to 24 to get 30, and then add the remaining 3 to reach 33.

Explanation:

To add 24 and 9 by making 10s, you can first break down the number 9 into 6 and 3.

Add 6 to 24 to make a round number, which is 30.

Now you have made a '10' because 30 is a multiple of 10.

Next, add the remaining 3 to get 33.

So, 24 + 9 = 33.

Final answer:

The expression (9-3)+4(6-7)-7 is calculated following PEMDAS, resulting in a value of -5 after simplifying the operations within the expression.

Explanation:

The value of the expression (9-3)+4(6-7)-7-1720 seems to have a typo, and it should probably read (9-3)+4(6-7)-7. To evaluate this expression, you follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, calculate the parentheses: (9-3) = 6 and (6-7) = -1.

Next, perform the multiplication: 4 * (-1) = -4.

Finally, add and subtract from left to right: 6 + (-4) - 7 = 6 - 4 - 7 = 2 - 7 = -5.

The value of the expression is -5.

Answer:

-23/2h+3/2

Step-by-step explanation:

7/2h-3(5h-1/2)

7/2h-15h+3/2

7/2h-30/2h+3/2

-23/2h+3/2

Answer:

(-23h+3)/2

Step-by-step explanation:

7/2h-3(5h-1/2)=

7/2h-3*5h+3*1/2=

7/2h-15h+3/2=

7/2h-30/2h+3/2=

-23/2h+3/2 or

(-23h+3)/2

Answer:

-10k-28

Step-by-step explanation:

-19+4k-15k+k-9

-28-11k+k

-10k-28

Answer:

12k+ -10

im not truely sure if this is correct... but i went off my knowlage

Answer:

Step-by-step explanation:

each is divided into 8 sections.

So1 1/2 =1  1*4/2*4 =1 4/8 . plot in the 4 th point after 1

2 3/4

3*2/4*2 = 6/8

2 3/4 = 2 6/8. so plot in the 6th point after 2

The answer is B, 7i.

sqrt(-49)

Pull out an i.

i*sqrt(49)

Take the square root to get 7i.

⭐ Answered by Hyperrspace (Ace) ⭐

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Answer:

5/1, 25/5

Step-by-step explanation:

Option C: [tex]$148 \mathrm{in}^{2}$[/tex] is the area of the trapezoid.

Explanation:

The image of the trapezoid having these descriptions is attached below:

Now, we shall determine the area of the trapezoid using the formula,

[tex]$A=\frac{a+b}{2} h$[/tex] where a and b are the base of the trapezoid and h is the height of the trapezoid.

Thus, we shall find the value of a and b from the diagram given below.

[tex]a= AB=14in[/tex]

[tex]b=DC\\b=DF+FE+EC\\b=3+14+6\\b=23in[/tex]

It is given that the height of the trapezoid [tex]h=8in[/tex]

Thus, substituting the values of a,b and h in the formula [tex]$A=\frac{a+b}{2} h$[/tex], we get,

[tex]A=\frac{14+23}{2}(8)\\ A=\frac{37}{2} (8)\\A=148in^2[/tex]

Thus, the area of the trapezoid is [tex]$148 \mathrm{in}^{2}$[/tex]

Hence, Option C is the correct answer.

Answer:

Step-by-step explanation:

18x+8=14

18x=6

x=1/3

When ƒ(x) is equal to 14, the value of x is 1/3.

To find the value of x when f(x) is equal to 14, we can set up the equation:

f(x) = 18x + 8

We know that f(x) is equal to 14, so we substitute that into the equation:

14 = 18x + 8

We isolate the variable x by subtracting 8 from both sides of the equation:

14 - 8 = 18x

6 = 18x

To solve for x, we divide both sides of the equation by 18:

6/18 = x

1/3 = x

Therefore, when f(x) is equal to 14, the value of x is 1/3.

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Answer:

-80

Step-by-step explanation:

The answer is -80 because 80 feet below sea level would be a negative number. So you just add a negative sign to 80 and voila! You get the answer. Your welcome, by the way!

Elevation 80 feet below sea level can be represented by the negative number -80 in mathematics. This is because negative numbers are used to represent depths or locations below sea level.

In mathematics, when we talk about locations below sea level, we represent them with negative numbers. So, an elevation of 80 feet below sea level will be represented as -80. This numerical representation helps us have an accurate and easy understanding of above and below sea level elevations. Such as, 0 represents sea level, positive numbers represent elevations above sea level, and negative numbers represent depths below sea level.

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Answer:

Step-by-step explanation:

8(6-k)+2k ≥-15-(-3k)

Opening bracket

48 - 8k + 2k ≥ -15 + 3k

-8k - 3k + 2k ≥ -15 - 48

-9k ≥ -63

k ≤ -63/-9

k ≤ 7

Answer:

k ≤ 7

Step-by-step explanation:

8 (6 - k) + 2k ≥ - 15 -(-3k)

Let's simplify this by solving each side.

First side:

8 (6 - k) + 2k ≥ - 15 -(-3k)

48 - 8k + 2k ≥ - 15 -(-3k)

48 - 6k ≥ - 15 -(-3k)

Second side:

48 - 6k ≥ - 15 -(-3k)

48 - 6k ≥ -15 + 3k

DONE SIMPLIFYING!

Now solve for "k" algebraically (transitions are in bold):

48 - 6k ≥ -15 + 3k

-6k ≥ -15 - 48 + 3k

-6k ≥ -63 + 3k

-6k - 3k ≥ -63

-9k ≥ -63

-k ≥ -63 ÷ 9

-k ≥ -7

k ≤ 7

Answer:

  (x -4)^2 +(y +5)^2 = 2

Step-by-step explanation:

The equation of a circle centered at (h, k) through point (p, q) is ...

  (x -h)^2 +(y -k)^2 = (p -h)^2 +(q -k)^2

Filling in your given numbers gives ...

  (x -4)^2 +(y +5)^2 = (5-4)^2 +(-4+5)^2

  (x -4)^2 +(y -5)^2 = 2

The equation of the circle is (x - 4)² + (y + 5)² = 2.

The center of the circle is (4, -5). The circle passes through the point (5, -4).

The general formula for the equation of a circle is: (x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.

The radius is the distance between the center (4, -5) and the point (5, -4).

Use the distance formula: Distance = √ [(x2 - x1)² + (y2 - y1)²]

Distance = √ [(5 - 4)² + (-4 - (-5))²]

Distance = √ [(1)² + (1)²]

Distance = √ [1 + 1]

Distance = √ [2]

So, the radius r = √ [2].

Substitute the center (4, -5) and radius √ [2] into the circle equation: (x - 4)² + (y + 5)² = (√ [2])² (x - 4)² + (y + 5)² = 2

Answer:

X = 0

Y = 2

so Option A (0,2) IS CORRECT

Step-by-step explanation:

Y = -1/3 x + 2 equation 1

Y = x+ 2 equation 2

from equation 2 we have

y = x+ 2 Put in equation 1

x + 2 = -1/3 x + 2

x +1/3x = 2 -2

0.67 x = 0

X = 0

so put x =0 in equation 2 then we have

y = x +2

Y = 0+ 2

Y = 2