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3 years ago

1 - 4x^2 Factorization using the formula: a^2 - b^2 = (a + b) (a - b)

Mathematics

2 answers:

Pavel [41]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Factorise using the difference of squares, that is

a² - b² = (a + b)(a - b)

Given

1 - 4x², then a = 1 and b = 2x

= (1 + 2x)(1 - 2x) = (1 - 2x)(1 + 2x)

Since multiplication is commutative order is not important, that is

3 × 4 = 4 × 3

Setler [38]3 years ago

7 0

Answer:

1 - 4x^2

=(1)^2 - (2x)^2

=(1-2x) (1+2x)

it could also be written as (1 + 2x) (1 - 2x)

Step-by-step explanation:

the order doesn't matter because it's a multiplication

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Read 2 more answers

Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig

Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

$h=-16t^2+18t+5$

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

$v = \frac{dh}{dt} = -32t + 18$

Therefore, when v = 0:

$0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs$

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

$h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft$

Therefore, her maximum height is 10.06 ft.

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