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xeze [42]
3 years ago
11

X2 – 25 = - 4x – 4 Solve the quadratic by factoring

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

x = -7, +3

Step-by-step explanation:

x² - 25 = -4x - 4

Put it all on one side

x² - 25 + 4x + 4 = 0

Put like terms together

x² + 4x - 21 = 0

Factor

(x + 7)(x - 3) = 0

x + 7 = 0 ⇒ x = -7

x - 3 = 0 ⇒ x = +3

x = -7, +3

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8-2x

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2 distributed over the entire expression equals 8-2x

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4 years ago
An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height i
LenKa [72]

Answer:

The equation for height is

h=32sin(\frac{\pi}{2}t)+14

Step-by-step explanation:

we are given

An iron ball is bobbing up and down on the end of a spring

So, height function must be trigonometric in nature

So, we can use formula

h=Asin(Bt)+D

now, we can find A , B and D

Calculation of A:

maximum height 46 inch

minimum height =18 inch

so,

A=\frac{46+18}{2}=32

Calculation of B:

It takes the ball 2 seconds to go from its maximum height to its minimum height

So, half of time period is 2 sec

\frac{T}{2}=2

T=4

now, we can use period formula

T=\frac{2\pi}{B}

we can find B

4=\frac{2\pi}{B}

B=\frac{2\pi}{4}

B=\frac{\pi}{2}

Calculation of D:

Max=46

min=18

D=\frac{46-18}{2}

D=14

now, we can plug these values into formula

and we get

h=32sin(\frac{\pi}{2}t)+14


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4 years ago
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