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2 years ago

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

Mathematics

1 answer:

Masteriza [31]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

<u>Given equation:</u>

x² + y² + 8x - 4y - 7 = 0

<u>Convert this to standard form by completing the square:</u>

(x - h)² + (y - k)² = r², where (h, k) - center, r - radius
x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
(x + 4)² + (y - 2)² - 27 = 0
(x + 4)² + (y - 2)² = 27
(x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

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[(2 times 10) divided by 1/3] + 8 =

kondaur [170]

14.6666666667

Step-by-step explanation:

2•10=20/1/3=6.66666666667+8 is that but you can write it like 14.6 with _ that on top

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2 years ago

HELP COLLEGE ALGEBRA

max2010maxim [7]

Answer:

1) $\frac{-8}{11}$

2) $1.276$

3) $\frac{3}{4}$

4) $0$

Step-by-step explanation:

The slope formula of the line that pass across two points P1(x1,y1) and P2(x2,y2) is:

$\frac{y2 - y1}{x2-x1} = slope$

You can use this formula to solve all the four points:

$\frac{6- -2}{-9 - 2} = \frac{-8}{11}$

$\frac{- 9.1 - 0.6}{-9.5 - - 1.9} = \frac{97}{76} =(Rounded)= 1.276$

$\frac{2-5}{-2 -2} = \frac{3}{4}$

$\frac{4-4}{-9 --4} = \frac{0}{-5} = 0 \\\\$

3 0

2 years ago

Help me out (geometry)

VLD [36.1K]

Answer:

⊥

Step-by-step explanation:

d and b meet at a 90 degree angle ( as shown by the box)

The lines are perpendicular (⊥)

5 0

3 years ago

What is the area of the parallelogram QRST?

jonny [76]

$\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2$

8 0

2 years ago

a cone with radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown find the volume of the total figure

Darina [25.2K]

Answer: Volume of the cone = 47.12 cubic feet.

Step-by-step explanation:

You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.

To solve for the full volume including the cylinder, use the cylinder's volume formula.

Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.

Volume of a cone is pi(r^2)(h/3)

plug and chug!

h stands for height and r stands for radius.

5 0

2 years ago