Definitely check quizlet !! :) helped me with the exact same problem last year :):)
Answer:
Opening: Opens upwards
Axis of Symmetry: -7/2
Vertex: (-7/2, -81/4)
X - intercepts: (1, 0) and (-8, 0)
Y - intercept: (0, -8)
Step-by-step explanation:
Opening: 'a' is greater than zero
Axis of Symmetry:
![\frac{-7}{2(1)} =\frac{-7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-7%7D%7B2%281%29%7D%20%3D%5Cfrac%7B-7%7D%7B2%7D)
Vertex:
![y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}](https://tex.z-dn.net/?f=y%3D%20%28%5Cfrac%7B-7%7D%7B2%7D%29%5E%7B2%7D%20%2B7%28%5Cfrac%7B-7%7D%7B2%7D%29%20-8%5C%5Cy%3D%20%28%5Cfrac%7B49%7D%7B4%7D%29%20%2B%28%5Cfrac%7B-49%7D%7B2%7D%29%20-8%5C%5Cy%3D%20%5Cfrac%7B49%7D%7B4%7D%20%2B%5Cfrac%7B-98%7D%7B4%7D%20-8%5C%5Cy%3D%5Cfrac%7B-49%7D%7B4%7D-8%5C%5Cy%20%3D%20%5Cfrac%7B-81%7D%7B4%7D)
X - intercepts:
(x-1)(x+8)
x = 1 and x = -8
Y - intercept: (0, -8)
![y= 0^{2} +7(0) -8\\\\y= -8\\](https://tex.z-dn.net/?f=y%3D%200%5E%7B2%7D%20%2B7%280%29%20-8%5C%5C%5C%5Cy%3D%20-8%5C%5C)
Answer:
![x=10](https://tex.z-dn.net/?f=x%3D10)
Step-by-step explanation:
Here, we can use an angle rule.
We see that angles
° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.
This means we can use the rule:
Corresponding angles are equal.
This means that:
![8x + 50 = 130](https://tex.z-dn.net/?f=8x%20%2B%2050%20%3D%20130)
We can now use this equation we have formed to solve for
:
![8x + 50 = 130\\8x = 80\\x = 10](https://tex.z-dn.net/?f=8x%20%2B%2050%20%3D%20130%5C%5C8x%20%3D%2080%5C%5Cx%20%3D%2010)
Therefore, our final answer is
.
2 and 16 are divisors of 64
R (radius) = 17
diameter is 2r
17(2) = 34
d (diameter) = 34