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3 years ago

Help me Factor 2x + 8 please.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

8 0

2(x+4) is your answer

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1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

4 years ago

Write and solve an equation for the scenario. Angela rented a car for $29.99 a day plus a one time insurance fee of $5. Her bill

Gnesinka [82]

Answer:

29.99x +5 =124.96 ; x = 4

Step-by-step explanation:

X is how many days. She rented the car for 4 days.

3 0

3 years ago

Read 2 more answers

The temperature is -7F and drops 15F what is the temperature now

Nimfa-mama [501]

Answer:

I'm really not sure but I think it would be -22F

Step-by-step explanation:

negative 7 minus 15 is negative 22

8 0

3 years ago

How to solve a proportion

tatuchka [14]

Answer:

Step-by-step explanation:

$\frac{x}{5}$ · $\frac{12}{15}$ =

15x=12 · 5

15x = 60

x = 4

7 0

3 years ago

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The NCAA basketball tournament begins with 64 teams and consists of 6 rounds of play. The winners of the first round play again

fredd [130]

Y = 2^x
For a 64 team tounament, 64 = 2^6, so there will be six rounds of play.
For a 128 team tounarment, 128 = 2^7, so there will be 7 rounds of play.

Any number of teams which is not a power of 2 is an inappropriate number of team for tounament play.

5 0

3 years ago

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