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CaHeK987 [17]
3 years ago
8

Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0
First we need to find where the 2 graphs intercept.

x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0 
2x(x - 2)

x = 0 , 2. are x coordinates  of the 2 intercepts.

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Please answer i need help quick
Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0
3 years ago
Pls help fast its urgent
telo118 [61]

Answer: -8

Step-by-step explanation:

3 - (-8) = 3+8

3+ 8=11

6 0
3 years ago
one bag of pretzels cost three dollars. five bags of pretzels cost $10.which has the lower unit price
Karo-lina-s [1.5K]
5 bags is cheaper because one bag is $3 and 5 bags for ten so to find the unit price the amount (10/ ) the amount of bags (5) so therefore 10/5= $2 which is smaller than the price of an individual bag
7 0
4 years ago
For the function f(x)=x^2-5x+6, where is the y-intercept?
Jlenok [28]
I believe the answer is 6
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3 years ago
Translate this sentence into an equation.
Ber [7]

Answer: 7c=91

Step-by-step explanation: Product means multiplication so Carlos' height- "c" times 7 equals 91.

5 0
3 years ago
Read 2 more answers
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