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andrey2020 [161]
3 years ago
12

I really need answers asap please.

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

We're told x=-5 and y=11 and asked to evaluate a few expressions. That just means substitute these values into the expressions and compute the exact numerical answer.

4y-10x = 4(11) - 10(-5) = 44 + 50 = 94

Answer: 94

x to the power of 3

x^3 = (-5)^3 = -5 \times -5 \times -5 = -125

Answer: -125

•6y to the power of 2

Probably means

6y^2 = 6(11)^2 = 6(121) = 726

Answer: 726

5(3x+2y) = 5(3(-5) + 2(11)) = 5(-15 + 22) = 5(7) = 35

Answer: 35

•(y-x) to the power of 2

(y - x)^2 = (11 - -5)^2 = 16^2 = 256

Answer: 256


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The three lines 8x+3y=12, 6y-7x=24, x+9y+33=0 intersect to form a triangle. Find the coordinates of its centroid
kicyunya [14]

Answer:

coordinates of its centroid=(-1,-1)

Step-by-step explanation:

The given three lines are:

8x+3y=12,                                     (1)

6y-7x=24                                      (2)

and x+9y+33.                               (3)

Multiplying equation (1) by 2 and subtract the equation (2), we get

23x=0⇒x=0,

Putting the value of x=0 in equation (2), we get

6y=24

y=4

Now, multiply the first equation by 3 and subtract the equation (3), we get

23x=69⇒x=3

Putting the value of x=3 in equation (1), we get

24+3y=12

3y=-12

y=-4

Also, multiplying the equation (3) by 7 and add the equation (2), we get

69y=-207

y=-3

Putting the value of y=-3 in equation (2), we get

6(-3)-7x=24

-18-24=7x

x=-6

So the centroid is located at (the average of the three vertices):  

x=\frac{0+3-6}{3}=\frac{-3}{3}=-1 and y=\frac{4-4-3}{3}=\frac{-3}{3}=-1.

Thus, the coordinates of its centroid=(-1,-1)


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