7x(√x - 7√7) Multiply √7x to "√x" and "-7√7" respectively:
√7x*√x - 7√7*√7x
First is to simplify: √7x² - 7√7²x
Extract the squares: x√7 - 7*7√x
Then, we simplify: x√7 - 49√x
After simplifying the equation, I got the answer x√7 - 49√x.
Answer:
![t(x) = 103 -0.0045x](https://tex.z-dn.net/?f=t%28x%29%20%3D%20103%20-0.0045x)
Step-by-step explanation:
We are given the following in the question:
Let the equation:
![t(x) = a + bx](https://tex.z-dn.net/?f=t%28x%29%20%3D%20a%20%2B%20bx)
be the linear equation that represent temperature at an elevation x.
Temperature at 6000-foot level = 76 f
![76 = a + 6000b](https://tex.z-dn.net/?f=76%20%3D%20a%20%2B%206000b)
Temperature at 12000-foot level = 49 f
![49 = a + 12000b](https://tex.z-dn.net/?f=49%20%3D%20a%20%2B%2012000b)
Solving the two equation, we get,
![76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a =103](https://tex.z-dn.net/?f=76-49%20%3D%20-6000b%5C%5C27%3D-6000b%5C%5C%5C%5Cb%20%3D%20%5Cdfrac%7B-27%7D%7B6000%7D%5C%5C%5C%5Cb%20%3D%20-0.0045%5C%5C76%20%3D%20a%20%2B%20%28-0.0045%296000%5C%5C76%20%3D%20a%20-27%5C%5Ca%20%3D%2076%20%2B%2027%5C%5Ca%20%20%3D103)
Thus, we can write the linear equation as:
![t(x) = 103 -0.0045x](https://tex.z-dn.net/?f=t%28x%29%20%3D%20103%20-0.0045x)
We can think of this as a right triangle, where the given lengths are the legs.
So, we can solve using the Pythagorean Theorem.
21² + 28² = c²
441 + 784 = c²
1225 = c²
35 = c
35 miles
Answer:
a,B,R
Step-by-step explanation:
Answer:
To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.