427.0 mm is more precise.
feel free to ask any questions
Answer:
numbers expressed using exponents are called powers
Answer:
the height of the cross section is 3 feet
Step-by-step explanation:
The computation of the height of the cross section is shown below:
Area = 1 ÷ 2 × (a + b) × h
39 = 1 ÷ 2 × (20 + 6) × h
39 = 1 ÷2 × 26 × h
39 = 26 ÷ 2 × h
39 = 13 × h
h = 39 ÷ 13
= 3 feet
hence, the height of the cross section is 3 feet
30 miles
Because you’re cutting the time in half and the same should apply to the speed
To find the value of q, we need to find d(-8). Put another way, we need to find the value of d(x) when x = -8
![d(x) = -\sqrt{\frac{1}{2}x+4}](https://tex.z-dn.net/?f=d%28x%29%20%3D%20-%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7Dx%2B4%7D)
![d(-8) = -\sqrt{\frac{1}{2}(-8)+4}](https://tex.z-dn.net/?f=d%28-8%29%20%3D%20-%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%28-8%29%2B4%7D)
![d(-8) = -\sqrt{-4+4}](https://tex.z-dn.net/?f=d%28-8%29%20%3D%20-%5Csqrt%7B-4%2B4%7D)
![d(-8) = -\sqrt{0}](https://tex.z-dn.net/?f=d%28-8%29%20%3D%20-%5Csqrt%7B0%7D)
![d(-8) = 0](https://tex.z-dn.net/?f=d%28-8%29%20%3D%200)
So this means q = 0. Note that -0 is just 0.
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The value of r will be a similar, but now we use f(x) this time.
Plug in x = 0
![f(x) = \sqrt{\frac{1}{2}x+4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7Dx%2B4%7D)
![f(0) = \sqrt{\frac{1}{2}*0+4}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%2A0%2B4%7D)
![f(0) = \sqrt{0+4}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Csqrt%7B0%2B4%7D)
![f(0) = \sqrt{4}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Csqrt%7B4%7D)
![f(0) = 2](https://tex.z-dn.net/?f=f%280%29%20%3D%202)
Therefore, r = 2.
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For s, we plug x = 10 into f(x)
![f(x) = \sqrt{\frac{1}{2}x+4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7Dx%2B4%7D)
![f(10) = \sqrt{\frac{1}{2}*10+4}](https://tex.z-dn.net/?f=f%2810%29%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%2A10%2B4%7D)
![f(10) = \sqrt{5+4}](https://tex.z-dn.net/?f=f%2810%29%20%3D%20%5Csqrt%7B5%2B4%7D)
![f(10) = \sqrt{9}](https://tex.z-dn.net/?f=f%2810%29%20%3D%20%5Csqrt%7B9%7D)
![f(10) = 3](https://tex.z-dn.net/?f=f%2810%29%20%3D%203)
So s = 3.
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Finally, plug x = 10 into d(x) to find the value of t
![d(x) = -\sqrt{\frac{1}{2}x+4}](https://tex.z-dn.net/?f=d%28x%29%20%3D%20-%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7Dx%2B4%7D)
![d(10) = -\sqrt{\frac{1}{2}(10)+4}](https://tex.z-dn.net/?f=d%2810%29%20%3D%20-%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%2810%29%2B4%7D)
![d(10) = -\sqrt{5+4}](https://tex.z-dn.net/?f=d%2810%29%20%3D%20-%5Csqrt%7B5%2B4%7D)
![d(10) = -\sqrt{9}](https://tex.z-dn.net/?f=d%2810%29%20%3D%20-%5Csqrt%7B9%7D)
![d(10) = -3](https://tex.z-dn.net/?f=d%2810%29%20%3D%20-3)
A shortcut you could have taken is to note how d(x) = -f(x), so this means
d(10) = -f(10) = -9 since f(10) = 9 was found in the previous section above.
Whichever method you use, you should find that t = -3.
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<h3>In summary:</h3><h3>q = 0</h3><h3>r = 2</h3><h3>s = 3</h3><h3>t = -3</h3>