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enot [183]
4 years ago
9

A) 1 b) -20 c) 20 d) 7

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
3 0

f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}

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Step-by-step explanation:

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An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for
alekssr [168]

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3 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
4 years ago
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