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olya-2409 [2.1K]
4 years ago
8

Factor by using the difference of squares method: 36x^4 - 4x^2

Mathematics
1 answer:
Nataliya [291]4 years ago
4 0

The difference of squares formula is a^2-b^2=(a+b)(a-b). a^2, in this case, is 36x^4, so we can say the square root(positive in this case) is 6x^2. This means that a is 6x^2. We can do this also to the b^2 part and get 4x^2=b^2 so b=2x. The difference of squares formula states that the answer is (6x^2+2x)(6x^2-2x), so the answer is D.

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I don’t understand how to identify quadratic transformations. Can I have so help please?
Levart [38]

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2 years ago
Rashida brought three tickets to a concert for $75 at this rate how much would 5 tickets cost
Wittaler [7]

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7 0
3 years ago
A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per
Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by h(t) = -16\cdot t^{2}+12\cdot t +10, where h(t) is the height in feet and t, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

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Then, we simplify the expression by algebraic means:

-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0

Roots of the polynomial are, respectively:

t = 0\,s\,\lor \,t = 0.75\,s

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0
3 years ago
The area of a square tile is 49 square inches. Write the length of one side of the square time as a square root and standard fro
aleksandr82 [10.1K]
A square area=legnth times width
but for a square, legnth=width so
area=legnth^2

are=49
49=legnth^2

square root of  both sides
7=legnth
the answer is 7
7 0
3 years ago
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