Answer:
B, C, D
Step-by-step explanation:
4(4a + 5) = 16a + 20
Look at each answer individually.
A. 16a + 5 <u>This is not correct.</u>
B. 16a + 20 This is correct.
C. 12a + 20 + 4a = 16a + 20 This is correct.
D. 2(8a + 10) = 16a + 20 This is correct.
E. 16a + 5 + 4 = 16a + 9 <u>This is not correct.</u>
Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=> ![\[c=2+\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D2%2B%5Cfrac%7B1%7D%7B2%7D%5C%5D)
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
Answer:
a x sqrt(7) - 49sqrt(x)
Step-by-step explanation:
sqrt(7x) [ sqrt(x) - 7sqrt(7)]
Distribute
sqrt(7x) *sqrt(x) - sqrt(7x)*7sqrt(7)
We know that sqrt(a) sqrt(b)= sqrt(ab)
sqrt(7x^2) - 7sqrt(7^2 *x)
Now lets separate out the perfect squares
sqrt(7) *sqrt(x^2) - 7sqrt(7^2)*sqrt(x)
x sqrt(7) - 7*7sqrt(x)
x sqrt(7) - 49sqrt(x)
Her new balance is 886.07 dollars hope this helps
the slope of the perpendicular line to the line through the two points is 0
