All categories

3 years ago

Write the standard equation of the circle with center (-8, -7) and a radius of 6.5.

1 answer:

6 0

The standard equation of a circle is:

(x-h)^2+(y-k)^2=r^2, where r=radius and (h,k) is the center of the circle so:

(x--8)^2+(y--7)=6.5^2

(x+8)^2+(y+7)=42.25

You might be interested in

(Im giving brainliest and extra points on this one :D)

Studentka2010 [4]

Answer:

Step-by-step explanation:

Convert to improper fraction and multiply them, then convert back to mixed fraction :)

5 0

2 years ago

Read 2 more answers

Please help guys I’m really struggling

tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : $slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}$

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

$\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4$

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

3 0

3 years ago

Read 2 more answers

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (−1

ludmilkaskok [199]

Answer: 8 -1

Step-by-step explanation:

referring to brainly.com/question/16983018

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1

The coordinates of the end of the stencil = (8, -1)

5 0

2 years ago

Jimmy thought he had purchased 7 folders but he only purchased 6. What was his percent error?

QveST [7]

6 percent of 7 is 86% so the percentage error is 24%

6 0

2 years ago

The perimeter of a rectangular park is 500 feet. The length of the park is 100 feet longer than the width. Find the length of th

lord [1]

Answer:

The length of the park is 175 feet

Step-by-step explanation:

Let us solve the question

∵ The perimeter of a rectangular park is 500 feet

∵ The formula of the perimeter of the rectangle is P = 2(L + W)

∵ L is the length and W is the width

→ Equate the rule of the perimeter by 500

∴ 2(L + W) = 500

→ Divide both sides by 2

∴ L + W = 250 ⇒ (1)

∵ The length of the park is 100 feet longer than the width

→ That means L is W plus 100

∴ L = W + 100 ⇒ (2)

→ Substitute L in (1) by (2)

∵ W + 100 + W = 250

→ Add the like terms

∵ (W + W) + 100 = 250

∴ 2W + 100 = 250

→ Subtract 100 from both sides

∵ 2W + 100 - 100 = 250 - 100

∴ 2W = 150

→ Divide both sides by 2

∴ W = 75

→ Substitute the value of W in (2) to find L

∵ L = 75 + 100 = 175

∴ The length of the park is 175 feet

6 0

3 years ago