All categories

2 years ago

Find the value of x number on top is 6 and other is 9

Mathematics

1 answer:

faltersainse [42]2 years ago

5 0

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

$x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\$

You might be interested in

A video game was originally priced at $50, but Tess waited to buy it until the video game was

DENIUS [597]

Answer:

$21

Step-by-step explanation:

$50×.60=$30

$50-$30=$20

$20×.05=$1

$20+$1=$21

3 0

3 years ago

A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.

$h(t)=-48t -16t^2$

$h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2$

$h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})$

$h(-\frac{3}{2})=72-4*9$

$h(-\frac{3}{2})=72-36$

$h(-\frac{3}{2})=36$

Therefore, the maximum height of the ball is 36 feet.

3 0

3 years ago

What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?

dexar [7]

Answer:

Answer C

Step-by-step explanation:

Formula

Volume = pi * r^2 * h

Givens

r = 5 cm
h = 12 cm

Solution

V = pi * 5^2 * 12
V = pi * 25 * 12
V = 300 pi

Answer = C

8 0

3 years ago

Find the missing term of the following sequence. . . . –2, __, 456, . . .

masha68 [24]

The answer should be

228

3 0

3 years ago

Read 2 more answers

I give brainiest!!! Find the area of that sector. Show work.

Aleksandr [31]

That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.

Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665

6 0

2 years ago

Read 2 more answers