Answer:
![x=10](https://tex.z-dn.net/?f=x%3D10)
Step-by-step explanation:
We can use the Pythagorean Theorem:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
![(x)^2+(x+14)^2=(x+16)^2](https://tex.z-dn.net/?f=%28x%29%5E2%2B%28x%2B14%29%5E2%3D%28x%2B16%29%5E2)
Expand:
![\displaystyle x^2+(x^2+28x+196)=x^2+32x+256](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%2B%28x%5E2%2B28x%2B196%29%3Dx%5E2%2B32x%2B256)
Combine like terms:
![2x^2+28x+196=x^2+32x+256](https://tex.z-dn.net/?f=2x%5E2%2B28x%2B196%3Dx%5E2%2B32x%2B256)
Subtract the right from the left:
![(2x^2+28x+196)-(x^2+32x+256)=0](https://tex.z-dn.net/?f=%282x%5E2%2B28x%2B196%29-%28x%5E2%2B32x%2B256%29%3D0)
Subtract:
![x^2-4x-60=0](https://tex.z-dn.net/?f=x%5E2-4x-60%3D0)
Factor:
![(x-10)(x+4)=0](https://tex.z-dn.net/?f=%28x-10%29%28x%2B4%29%3D0)
Zero Product Property:
![x-10=0\text{ or } x+4=0](https://tex.z-dn.net/?f=x-10%3D0%5Ctext%7B%20or%20%7D%20x%2B4%3D0)
Solve:
![\displaystyle x = 10 \text{ or } x = -4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2010%20%5Ctext%7B%20or%20%7D%20x%20%3D%20-4)
The x cannot be negative since a side cannot measure -4. So, our only answer is:
![x=10](https://tex.z-dn.net/?f=x%3D10)
So, the legs are 10 and 24 with the hypotenuse being 26.
Answer:
15*C
Step-by-step explanation:
The temperature rises by 2.4 every 3 cycles per second. So you would have to keep the pattern going.
6 cycles p/second = 19.8*C
3 cycles p/second = 17.4*C
0 cycles p/second = 15.0*C
So, because 0 cycles means the engine is resting, 15*C would be the answer.
The required value of y is 2645 / 77 when x = 77.
Step-by-step explanation:
1. Let's check the information given to answer:
if y varies inversely as x, and y = 23 when x = 115. Find y when x=77
2. What is y when x = 77?
As the statement "y varies inversely as x" translates into y = k/x
If we let y = 23 and x = 115, the constant of variation becomes
23 = k ÷ 115
k = 23 × 115
k = 2645
Thus the specification equation is y = 2645 ÷ x . Now, letting x = 77, we obtain
y = 2645 ÷ x
y = 2645 ÷ 77
<u>So, The required value of y = 2645 / 77 when x = 77</u>
<u></u>
<u>#learnwithBrainly</u>
Answer:
2/3
Step-by-step explanation:
Y2-Y1/X2-X1
8-2/5-(-4)
6/5+4
6/9
Slope: 2/3
3<span> multiplyed by 2 and that is how you do it</span><span>
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