Factor completely 6w^4 – 54w^2

Answers

Answer 1

Answer: $6w^4-54w^2=6w^2(w^2-9)=6w^2(w^2-3^2)=6w^2(w-3)(w+3)$

Answer 2

Answer: $6w^4-54w^2=6w^2\cdot w^2-6w^2\cdot9=6w^2\cdot(w^2-9)=6w^2(w-3)(w+3)$

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Solve linear system using substitution

y=6-2x
7x-y=3

Answers

$\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \n\nsubstitute\ first\ equation\ into\ the\ second\n\n7x-(6-2x)=3\n\n7x-6+2x=3\n\n9x-6=3\ \ \ | add\ 6\n\n9x=9\ \ \ | divide\ by\ 9\n\nx=1\n\ny=6-2*1=6-2=4$

What is 8.07 written in word form

Answers

Eight and 7 hundredths

eight and seven hundredths.

Can someone help me with this problem?In 2004, there were 3344 amusement parks and arcades. This decreased by 148 by 2009. Write and evaluate an expression to find the number of amusement parks and arcades in 2009

Answers

Number of amusement parks and arcades in 2004 = 3344

Decrease in the number of amusement parks from 2004 to 2009 = 148

So, the expression to calculate the total number of amusement parks and arcades in 2009 is 3344 - 148

Evaluating the expression we get the total number of amusement parks and arcades in 2009 as 3196

Hope that help!

the area of a parallelogram with a height of 6 meters is 126 square meters what is the base length of the parallelogram

Answers

The formula for finding the area of a parallelogram is base * height.

If we know that the height is 6 meters and the area is 126, we can write the equation 6 * base = 126.
we divide 6 on both sides and get base = 126/6 = 21 meters

Answer:

Step-by-step explanation:

#1 What is the volume of a pyramid with base area B = 6 ft2 and height h = 13 ft? A. 26 ft3 B. 39 ft3 C. 52 ft3 D. 78 ft3

#2 The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 144 in3 B. 36 in3 C. 72 in3 D. 108 in3