Solve the trig. equation for all angles between 0-360. <br> 2cos²θ=1

4. (x+ 2)(2x2 + 9x+8)

vfiekz [6]

Answer:

2x3+9x2+8x+4x2+18x+16

2x3+13x2+26x+16

6 0

2 years ago

Identify the vertex for the given function. 2(x-1)^2 + 8

Lesechka [4]

Answer:

(1,8)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the length of side AB in the right triangle shown.

Bogdan [553]

Side AB is 72 cm long.

Explanation:

To find the length of side AB you have to use this formula:

${a}^{2} + {b}^{2} = {c}^{2}$

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.

${65}^{2} + {b}^{2} = {97}^{2}$
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

$4225 + {b}^{2} = 9409$

$9409 - 4225 = 5184$

Soo...

${b}^{2} = 5184$

Then to get the side length, square root 5184.

$\sqrt{5184} = 72$

So the length of the last side is 72 cm.

5 0

2 years ago

Please help with 11,12,13

faltersainse [42]

Problem 11

<h3>Answer: h = 2A/b</h3>

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Explanation:

We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b

A = (1/2)*b*h

2A = b*h

b*h = 2A

h = 2A/b

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Problem 12

<h3>Answers:</h3>

Equation: (n+2)/5 = 14
Solution to that equation: n = 68

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Explanation:

The number n is increased by 2 to get n+2

Then we divide by 5 to get (n+2)/5

This is set equal to 14 to get the equation (n+2)/5 = 14

Solving the equation would look like this

(n+2)/5 = 14

n+2 = 5*14 .... multiply both sides by 5

n+2 = 70

n = 70-2 .... subtract 2 from both sides

n = 68

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Problem 13

<h3>Answer: Not a solution</h3>

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Explanation:

We'll replace every copy of x with -3 and simplify

-2x + 5 > 13

-2*(-3) + 5 > 13

6 + 5 > 13

11 > 13

The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.

Therefore, x = -3 is not a solution.

3 0

2 years ago

What is the sum of the 12th square number and the 9th square number

Inessa [10]

Answer: 225

Step-by-step explanation:

<u>What is a square number</u>?

A square number is a product of a number times itself

So, the 12th square number would be 12 * 12, or 12²

The 9th square number would be 9 * 9, or 9²

The equation would be 12² + 9²

So:

12² + 9²

= 144 + 81

= 225

So, the answer is 225

6 0

1 year ago

Solve the trig. equation for all angles between 0-360. 2cos²θ=1