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Grace [21]
3 years ago
8

Write the equation in standard form for the circle with center (-7, -7) and radius 4.

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
6 0
(X+7)+(y+7) = 16
............
Radda [10]3 years ago
3 0

Answer:

(x+7)^2 + (y+7)^2 = 16

Step-by-step explanation:

A circle with center (h,k) with radius r has equation (x-h)^2 + (y-k)^2 = r^2

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Use the equation y = q + 3 to find the value of y when q = 1.
nikitadnepr [17]

Answer:

It’s 4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

  • Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

4 0
3 years ago
Which expressions are differences of squares?
Zarrin [17]
If an expression is the difference of two squares, it will follow this format:
(a)^{2}-(b)^{2}
where a and b are integers or variables.

1) w^{2} - 121 = (w)^{2} -( 11)^{2}
Since the expression follows the format, it's a DoTS.

2) Since the binomial has an addition sign, it isn't a DoTS.

3) n^{2}-50=(n)^{2}-(5\sqrt{2})^{2}
The second term isn't an integer, so the expression isn't a DoTS.

4) a^{2}-36=(a)^{2}-(6)^{2}
Since the expression follows the format, it's a DoTS.

Therefore, the first and fourth expressions are differences of two squares.
6 0
3 years ago
Read 2 more answers
Consider the reduction of the rectangle. A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle
Ne4ueva [31]

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Read 2 more answers
Solve the equation <br><img src="https://tex.z-dn.net/?f=%20%7B16%7D%5E%7Bx%7D%20%20%2B%20%20%7B2%7D%5E%7B2x%20%2B%201%7D%20%20-
zlopas [31]

Answer:

x = 1/2

I don't know right or wrong

6 0
2 years ago
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