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4 years ago

Y^2+13y=-36 solve for x please show work

Mathematics

1 answer:

mart [117]4 years ago

5 0

Answer:

y = -9 or y = -4

Step-by-step explanation:

y^2 + 13y = -36

y^2 + 13y + 36 = 0

(y + 9)(y + 4)

y + 9 = 0

y = -9

y + 4 = 0

y = -4

Best of Luck!

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Match each spherical volume to the largest cross sectional area of that sphere

zlopas [31]

Answer:

Part 1) $324\pi\ units^{2}$ ------> $7,776\pi\ units^{3}$

Part 2) $36\pi\ units^{2}$ ------> $288\pi\ units^{3}$

Part 3) $81\pi\ units^{2}$ ------> $972\pi\ units^{3}$

Part 4) $144\pi\ units^{2}$ ------> $2,304\pi\ units^{3}$

Step-by-step explanation:

we know that

The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere

Part 1) we have

$A=324\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$324\pi=\pi r^{2}$

Solve for r

$r^{2}=324$

$r=18\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=18\ units$

substitute

$V=\frac{4}{3}\pi (18)^{3}$

$V=7,776\pi\ units^{3}$

Part 2) we have

$A=36\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$36\pi=\pi r^{2}$

Solve for r

$r^{2}=36$

$r=6\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=6\ units$

substitute

$V=\frac{4}{3}\pi (6)^{3}$

$V=288\pi\ units^{3}$

Part 3) we have

$A=81\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$81\pi=\pi r^{2}$

Solve for r

$r^{2}=81$

$r=9\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=9\ units$

substitute

$V=\frac{4}{3}\pi (9)^{3}$

$V=972\pi\ units^{3}$

Part 4) we have

$A=144\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$144\pi=\pi r^{2}$

Solve for r

$r^{2}=144$

$r=12\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=12\ units$

substitute

$V=\frac{4}{3}\pi (12)^{3}$

$V=2,304\pi\ units^{3}$

5 0

3 years ago

Read 2 more answers

6+y is greater than or equal to 9. what is y

Rufina [12.5K]

6 + y ≥ 9

We are essentially trying to get y by itself, so that we could solve for y

So, subtract 6 from both sides.

y ≥ 9 - 6

Simplify.

y ≥ 3

~Hope I helped!~

7 0

3 years ago

Write an equation of a line in slope-intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5).

Natalija [7]

Answer:

y - 2.5 = 3(x + 10)

Step-by-step explanation:

The slope is 3 so just input everything into the general form

5 0

4 years ago

Solutions of x^2-2x=8

Andreyy89

Answer:

-√2

Step-by-step explanation:

x² - 2x = 8 Apply the square root to both sides

√x² - 2x = √8 Divide both sides by -2

x = -√2

Extra info:

√8 = 2√2 = 2.828427125

-√2 = -1.414213562

7 0

3 years ago

Read 2 more answers

Simplify the expression below

Andru [333]

Answer:

2x³ + 17x² - 5

Step-by-step explanation:

Hi there !

6x³ + 5x² + 3 – 4 (x³ – 3x² + 2) =

= 6x³ + 5x² + 3 - 4x³ + 12x² - 8

= 6x³ - 4x³ + 5x² + 12x² + 3 - 8

= 2x³ + 17x² - 5

Good luck !

8 0

4 years ago

Read 2 more answers