Answer:
Angle 4 and Angle 1 are supplementary to each other.
Step-by-step explanation:
A line is 180°. Because angle 4 and angle 1 and right next to each other and they share a straight line, both of their angles should add up to 180°, making these two angles supplementary.
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Answer:
x = 6/11
Step-by-step explanation:
−23(3x−4)+3x=56
Distribute
-69x + 92 +3x = 56
Combine like terms
-66x+92 = 56
Subtract 92 from each side
-66x+92-92 = 56-92
-66x =-36
Divide each side by -66
-66x/-66 = -36/-66
x = 6/11
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:
![y = a(x+30)(x-30)](https://tex.z-dn.net/?f=y%20%3D%20a%28x%2B30%29%28x-30%29)
Plug in vertex to find value of 'a'
![-30 = a(0+30)(0-30) \\ \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}](https://tex.z-dn.net/?f=-30%20%3D%20a%280%2B30%29%280-30%29%20%5C%5C%20%20%5C%5C%20a%20%3D%20%5Cfrac%7B-30%7D%7B%28-30%29%2830%29%7D%20%3D%20%5Cfrac%7B1%7D%7B30%7D)
Now find the focus given that
![p = \frac{1}{4a}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B4a%7D)
![p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B4%281%2F30%29%7D%20%3D%20%5Cfrac%7B30%7D%7B4%7D%20%3D%207.5)
Answer: the microphone should be placed 7.5 inches from vertex.
Answer:
7,600
Step-by-step explanation:
both parents invest 7,600.
7,600x2= 15,200
there are 2 girls so divide 15,200 by 2 and u get 7,600
Answer:
x+ 1= 3
Step-by-step explanation:
^^