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3 years ago

Expand & simplify: (x - 1 )(x - 1)

Mathematics

2 answers:

andrey2020 [161]3 years ago

5 0

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

first: x*x = x^2

Outer: -1x

inner: -1x

Last: -1*-1 = 1

Add these together

x^2 -1x-1x+1

x^2 -2x+1

bearhunter [10]3 years ago

5 0

Answer:

x² - 2x +1

Step-by-step explanation:

(x - 1) (x - 1)

x(x - 1) - 1(x - 1)

x² - x - x + 1

x² -2x + 1

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If a line goes through points (-2, 9) and (0, 3), what is its slope? 3 -3 6 -1/3

Scrat [10]

Answer:

The slope of a line is:

$m=-3$

Hence, option B is true.

Step-by-step explanation:

Given the points

(-2, 9)

(0, 3)

Finding the slope between (-2, 9) and (0, 3)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)$

$m=\frac{3-9}{0-\left(-2\right)}$

$m=-3$

Therefore, the slope of a line is:

$m=-3$

Hence, option B is true.

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Help me ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

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A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms . The ball's height h (in meters) af

Alecsey [184]

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms

Balls height $h= 2 +9t -5t^2$

To find all values of t for which the ball's height is 3 meters

We plug in 3 for h and solve for t

$h= 2 +9t -5t^2$

$3 = 2 +9t -5t^2$

Solve for t

$0= -1+ 9t -5t^2$

$5t^2 - 9t + 1 = 0$

Solve using quadratic formula

$t= \frac{-b+- \sqrt{b^2-4ac} }{2a}$

$t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}$

After simplifying this,

$t= \frac{9+\sqrt{61}}{10}$ = 0.11898

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