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Kazeer [188]
3 years ago
6

What is the factored form of 27a^6+8g^12

Mathematics
1 answer:
Margarita [4]3 years ago
6 0
27a^6+8g^{12} = (3a^2)^3+(2g^4)^3= \\ =(3a^2+2g^4)(9a^4-6a^2g^4+4g^8)
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In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?
Molodets [167]

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0
3 years ago
22 more than four times a number is less than 82 <br><br> (Inequality equation)
Tanzania [10]

22^4c-82. Is the equation I think you are looking for.

5 0
4 years ago
1/3(15y-6)<br><br> I need help plz!!!
Rufina [12.5K]

Answer:

(4.99y-1.99); rounded it would be (5y-2)

Step-by-step explanation:

Distribute 1/3 into the parentheses, since you can't subtract 15y-6 because they don't have the same variable.

5 0
3 years ago
Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determi
ANTONII [103]

Answer:

It takes 3 seconds over the interval [0,3]

Step-by-step explanation:

To find when the roller coaster reaches the ground, find when d=0.

0=144-16t^2

To solve divide each term by 16 and factor:

\frac{0}{16}=\frac{144}{16} -\frac{-16t^2}{16}  \\0= 9 - t^2\\0=(3-t)(3+t)

Solve for t by setting each factor to 0.

t-3=0 so t=3

t+3=0 so t=-3

This means the car is in the air from 0 to 3 second.

8 0
3 years ago
The midpoint M and one endpoint of JK are given. Find the coordinates of the other endpoint. J(7,2) and M(1,-2)
djverab [1.8K]

Step-by-step explanation:

Xj + Xk/2 = Xm

7 + Xk/2 = 1

to get rid of the bracket, multiply all two sides by the denominator.

2(7 + Xk/2) = 1(2)

7 + Xk = 2

Xk = 2 - 7

Xk = -5

Yj + Yk/2 = Ym

2 + Yk/2 = -2

to get rid of the bracket, multiply all two sides by the denominator.

2(2 + Yk/2) = -2(2)

2 + Yk = -4

Yk = -4 - 2

Yk = -6

Therefore the coordinates of point K is (-5,-6)

3 0
3 years ago
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