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DanielleElmas [232]
3 years ago
5

Multiply on the number line 4x(-3)​

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

Answer:

-12x

Step-by-step explanation:

solution:

4x(-3)

-4x×3

-12x

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Step-by-step explanation:

a^2 - 49 = 0

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4 years ago
A golfer hits a golf ball.
11111nata11111 [884]

Answer:

The golf ball was in the air for 4 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

We have to find the amount of time it takes for the ball to hit the ground. We have that:

d(t) = -2t^2 + 7t + 4

Which is a quadratic equation with a = -2, b = 7, c = 4.

How long is the golf ball in the air?

We have to find t for which d(t) = 0

So

-2t^2 + 7t + 4 = 0

\Delta = b^{2} - 4ac = (7)^2 - 4(-2)(4) = 81

t_{1} = \frac{-7 + \sqrt{81}}{2*(-2)} = -0.5

t_{2} = \frac{-7 - \sqrt{81}}{2*(-2)} = 4

Time is a positive measure, so t = 4.

The golf ball was in the air for 4 seconds.

6 0
3 years ago
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