Answer:
y = 12 x = 12√2 z = 12√3
Step-by-step explanation:
The 45° triangle will also have a height of y so....
y² + y² = x² 2y² = x² y² = x²/2 y = √(x²/2)
The 30° triangle
y² + z² = 24² y² = 24² - z² y = √(24² - z²)
sin 30 = y/24 1/2 = y/24 y = 12
y² = x²/2
12² = x²/2²
2(144) = x² x = √(288) x = 12√2
y² + z² = 24²
z² = 24² - y²
z² = 24² - 12²
z² = 576 - 144
z² = 432
= √(16·9·3)
z = 4·3√3
z = 12√3
y² + z² = 24²
12² + (12√3)² = 24²
144 + 144·3 = 576
2y² = x²
2(12)² = x²
288 = (12√2) = 144·2 = 288
Zero of 7 with a multiplicity of 3 means one factor is 
Zero of -1 with a multiplicity of 2 means one factor is 
Zero of 5 with a multiplicity of 1 means one factor is 
Multiplying, we get
That's already in factored form so we leave it here.
Answer:
A
Step-by-step explanation:
Given
f(x) = 
let f(x) = y and rearrange making x the subject
y = ( multiply both sides by 4 )
4y = x + 3 ( subtract 3 from both sides )
4y - 3 = x
Change y back into terms of x
(x) = 4x - 3 → A
The bike shop made $28 dollars profit. First, you add the cost of the bike and the cost of the helmet, which is $84. Then you divide that by 150 to get what 1% would be, which is .56. Then you multiply that by 50%, which is the part of the price that the shop profited, which is $28.
