Can you help me please?

The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.

To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.

First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.

Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.

Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.

Therefore, the circle's center is at (3, -3), and its radius is 10.

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).

The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

Solution:

Given system of equations are:

y = x + 2 ------ eqn 1

-3x + 3y =  6 -------- eqn 2

Solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

-3x + 3(x + 2) = 6

-3x + 3x + 6 = 6

-3x + 3x = 6 - 6

0 = 0

If we end up with the same term on both sides of the equal sign, then we have infinite solutions

Thus the system of equations has infinitely many solutions

Answer:

The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.

Answer:

they avoid foreclosure cost

Step-by-step explanation:

took the bullet

Answer:

x = 0.85

2 (1.25) + 3x = 5.05

Step-by-step explanation:

2 (1.25) + 3x = 5.05

2.5 + 3x = 5.05

3x = 2.55

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}[/tex]

Answer:

Sheng

Step-by-step explanation:

Answer: Sheng

Step-by-step explanation:

First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller

Answer:

33

Step-by-step explanation:

2x+9=75

2x=66

x=33

Therefore, 33

Answer:

-3, -2 1/2, -2 2/5, -2 3/10, -2

Step-by-step explanation:

Answer: from least to greatest =

-2 ; -2 3/10; -2 2/5; - 2 1/2, -3

Step-by-step explanation:

Step 1: Convert fraction to decimal

Step 2: arrange in the order

Step 3: be mindful of the sign (-)

Answer:

8% = 8/100 = 2/25

Step-by-step explanation:

^^^^^^^^^

Answer:2/25

Step-by-step explanation:

8%=8/100=2/25

Answer:

3 / 2 dozen

Step-by-step explanation:

5 + 1/4   -    3 + 3/4

21/4    -    15/4

6 / 4

3 / 2

Answer:

12 = y

Step-by-step explanation:

To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16  -->  12 = y

I hope this helps

Answer:

The value of x is 14

The length of each diagonal is 24 units

Step-by-step explanation:

Let us revise the properties of the rectangle

In rectangle TUVW

∵ TV and UW are its diagonals

∴ TV = UW

∵ TV = 2x - 4

∵ UW = x + 10

- Equate them to find x

∴ 2x - 4 = x + 10

- Subtract x from both sides

∴ x - 4 = 10

- Add 4 to both sides

∴ x = 14

The value of x is 14

Substitute the value of x in the expression of TV OR UW to find the length of each diagonal

∵ TV = 2(14) - 4

∴ TV = 28 - 4

∴ TV = 24 units

The length of each diagonal is 24 units

Final answer:

To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.

Explanation:

We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.

Setting the expressions for TV and UW equal to each other gives us:

Solving for x:

Now we can find the lengths of TV and UW:

Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:

Let d be the length of the diagonal:

The length of each diagonal of the rectangle is approximately 33.94 units.

22.8 gms

Step-by-step explanation:

Step 1:

Given,

Mass of the element = 590 gms

Percentage decay per minute = 19.5%

Step 2 :

Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805

Hence the fraction of element remaining after 15 minutes  = [tex]0.805^{15}[/tex] = 0.03863

So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram

mass of the element remaining after 15 minutes = 22.8 gms

Answer:

22.8

Step-by-step explanation:

answered on delta math and got it correct

Answer:

Percentages can be reversed. For example:

600% of 5 is 30. Therefore $30 would be 5% of $600.

Step-by-step explanation:

The answer you are looking for is $30.

To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.

I hope this helps!

Answer:

186.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:4/3

Step-by-step explanation:

Answer:

y=x+0

Step-by-step explanation:

CHECK:

-7=-7+0

-7=-7

Yep

Answer:

y=2x+7

Step-by-step explanation:

I just did it

Answer:

Rational:

0.75 (as a recurring number)

3.8

-12/7

Irrational:

sqrt. (3/8)

sqrt. (1/16)

sqrt. (10)

pi/2

Step-by-step explanation:

Rational numbers are parts of a whole, expressed as fractions, decimals, or percentages. They are finite, recurring, and real.

Irrational numbers have no end to their numbers, and there is no pattern to the numbers. Besides perfect square roots (like 4, 9, 16, 25, etc.), all square roots are likely irrational. Anything with pi is irrational.

Hope this helps!

Answer:

Negative 4 n + 8 + 9 n minus 2 and 5 n + 6

Step-by-step explanation:

3v + 5 - (9v + 2)

3v + 5 - 9v -2 = -6v + 3

-6v + 6

(NO)

-6n + 3 - (2n + 2)

-6n + 3 - 2n - 4 = -8n - 1

-8n + 6

(NO)

-4n + 8 + 9n - 2 = 5n + 6

5n + 6

(YES)

Answer:

The answer is c

Answer:

y =  -5/7x -32/7

Step-by-step explanation:

To find the perpendicular line, it is the opposite opposite slope. this means that you change if it was positive or negative, and you flip the numerator and the denominator. so, because this slope is positive, you turn it to be negative. then you would switch the numerator and denominator, making the slope of the other line -5/7 (m). then you use y=mx + b to find the equation of the other line. you use (2,-6) and fill in the values to find be, so you would do

-6 = (-5/7)(2) + b so then you solve

-6 = (-10/7) + b  

-32/7 = b

and then you fill in the y=mx +b to get y =  -5/7x -32/7

Answer: The area of the shaded region is 150.72 km^2

Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as

Circumference = 2 x Pi x radius

With the values available, we now have

25.12 = 2 x 3.14 x radius

25.12 = 6.28 x radius

Divide both sides of the equation by 6.28

radius = 4

Having calculated the radius of the inner circle, the area now becomes;

Area = Pi x radius^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 km^2

The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.

Next we calculate the area of the outer circle which is

Area = Pi x radius^2

Area = 3.14 x 8^2

Area = 3.14 x 64

Area = 200.96 km^2

Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is

Area of shaded region = 200.96 - 50.24

= 150.72 km^2

Answer:

2.

Step-by-step explanation:

-10 divided by -5 is 2.  The two negatives cancel each other out.

Answer:

two is the correct answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

arc BOC=360-240=120

arc BAC: arc BOC::240:120 or 2:1

Answer:

the answer is C

Step-by-step explanation:

took the answer on the edge 2020

Answer:

i  believe that it is a function.

Step-by-step explanation:

you do not have any of the exact same numbers with arrows ot one another.

Answer:

It is a function

Step-by-step explanation:

Have a great day :) Dont forget to smile because you are AWESOME

The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959.  The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:

[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]

To find the total number of people surveyed when 424 people represent 53% of respondents, divide 424 by 0.53, which equals 800. Thus, 800 people were surveyed.

The question asks to determine the total number of people surveyed given that 53% of respondents enjoy walking through the park, and this represents 424 people. To find the total number of people surveyed, we set up a proportion where 53% (or 0.53) corresponds to the 424 people who enjoy walking in the park.

Using the formula for calculating percentages, we have:

Total people surveyed = 424 / 0.53

We perform the division to find the total number surveyed:
Total people surveyed = 800

Therefore, 800 people were surveyed.

Answer:

56

Step-by-step explanation:

6 X 8 = 48

7 X 8 = 56

Answer:

56/48

Step-by-step explanation:

you multiply both sides by 8.

Answer:

3.75 or 3 3/4

Step-by-step explanation:

first put them on a common denominator of 20

1/5=4/20

3/4=15/20

then do 15 divided by 4

15/4= 3.75 or 3 3/4

Answer:

104 CUPS

HOPE IT HELPS :0