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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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Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3
VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

---------------------

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0
3 years ago
Read 2 more answers
Pls and pls what is the easy way to solve maths problems or how can I solve maths problems with ease?
solong [7]

Answer:

Ok here is my pro tip:

Step-by-step explanation:

Use both halfs of you brain at the same time, causing you to passout and have your head hit the keyboard, giving you the correct answer

4 0
3 years ago
Chris has $170.00. Candies cost $8.50 each. How many candies can Chris buy? $<br> Blank
Yuki888 [10]

Answer:

20

Step-by-step explanation:

170/8.5

8 0
3 years ago
darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soi
Natali5045456 [20]
3/4 divides by 5

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3 0
3 years ago
You decided to put the 94 lollipops on sale.if you charge 70cents and put them on sale for buy one,get one free,will you be char
Svet_ta [14]
$0.70 for 2 lollipops
X for 94 lollipops
So, 2X=94*0.70
X= (94*0.70)/2 = 65.8/2
X= $32.9
The answer is YES. They are charging enough money  to get $32.90 after selling 94 lollipops on sale for buy one and get one for free.
8 0
3 years ago
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