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2 years ago

Need Answers ASAP please!

Mathematics

1 answer:

Nastasia [14]2 years ago

5 0

I believe it’s 6.5 just divide 50 by 8 .

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Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

-17 = x/-3 for x. thanks for helping

vekshin1

Answer:

-17 = x/-3 for x.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Write a decimal expression that has the same value as 2.5 divided .5-1.4

Ksenya-84 [330]

Dividing decimals by decimals - Homeschool Math go to this

7 0

3 years ago

The product of the page numbers on two facing pages of a book is 110. find the page numbers.

iren2701 [21]

The page numbers are 10 and 11

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3 years ago

Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cu

MrRa [10]

This is a proportion problem
3/10= 12/x
Now cross multiply and divide
12 x 10= 120
120/3= 40
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4 0

2 years ago