It would come out to be $41.8275, so if you round it would cost $41.83.
Answer: 239
Step-by-step explanation:
![g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239](https://tex.z-dn.net/?f=g%287%29%3D2%287%29-5%3D9%5C%5C%5C%5Cf%5Bg%287%29%5D%3Df%289%29%3D3%289%29%5E2%20-%204%3D239)
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Answer: (3, -2)</h3>
Explanation:
Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)
The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.
Add them up: 5+1 = 6
Divide by two: 6/2 = 3
The x coordinate of the midpoint is x = 3
Repeat for the y values -5 and 1
Add: -5+1 = -4
Divide in half: -4/2 = -2
The y coordinate of the midpoint is y = -2
So the midpoint is M = (x,y) = (3,-2)
If you were to use the distance formula, you would find that
distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)
This is what it means to be "equidistant" (aka "equally distant")
Answer:
d = 80 ft
Step-by-step explanation:
Start with angle BCA, tan(BCA) = 30/15 so BCA = 63.43 degrees.
BCA = ECD since they are opposite angles.
tan ECD = d/40
40 tan(63.4degrees) = d
d = 80 ft
Alternatively, you can use similar triangles since the angles are the same, BCA = ECD, CED = CAB, and CBA = EDC. In that case use proportions to get 30/15 = d/40 so 2 = d/40 and d = 80.
