Simplify 12x^2 + 4x – 3x^2 + 8 + 10x + 3 by combining like terms.

What are the zeros of the polynomial function? <br><br> F(x)= x^2 + 12x +20

vampirchik [111]

Answer:

Step-by-step explanation:

$F(x)=x^2+12x+20\\\\\text{The zeros:}\\\\F(x)=0\iff x^2+12x+20=0\\\\x^2+2x+10x+20=0\\\\x(x+2)+10(x+2)=0\\\\(x+2)(x+10)=0\iff x+2=0\ \vee\ x+10=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x+10=0\qquad\text{subtract 10 from both sides}\\\boxed{x=-10}$

3 0

3 years ago

What is the length of PR?

kicyunya [14]

Answer:

$8\sqrt{3}$

Step-by-step explanation:

2/3 pi radians = 2/3 * 180 = 2 * 60 = 120 degrees

split triangle in half:

30, 60, 90 triangle

1/2 PR= 4 root 3

7 0

3 years ago

2. Find the value of root4 (81)-2

arlik [135]

<h2>Answer: <u><em>1</em></u></h2>

<u />

Step-by-step explanation:

$\sqrt[4]{81} -2\\=3-2 \\=1$

6 0

2 years ago

Read 2 more answers

A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 fee

Novay_Z [31]

Answer: The height of the tree is 21 feet.

Step-by-step explanation:

Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.

Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.

Then we will have a relationship like:

Tg(angle) = shadow/height

height = shadow/Tg(angle)

Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K

Tg(angle) = K

Then we have the equation:

Height = Shadow/K

We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:

6ft = 2ft/K

K = 2ft/6ft = (1/3)

Now we know that the shadow of the tree is 7ft long, then the height will be:

height = 7ft/(1/3) = 7ft*3 = 21ft

The tree is 21 ft tall.

6 0

3 years ago

A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co

butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation: