Mathematics, 04.02.2021 14:00 briashia

Does anyone get this ? if so can u lmk the answer thx:)

Does anyone get this ? if so can u lmk the answer thxxxx:)

Answers: 2

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Answers

Answer from: priarm8799

Given:

In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).

To find:

The equation that represents a line that contain CD.

Solution:

We have,

A(-4,0) and B(0,3)

Slope of AB is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{3-0}{0-(-4)}$

$m=\dfrac{3}{4}$

The slope of line AB is $\dfrac{3}{4}$ .

Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.

In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.

Slope of line AB = Slope of line CD = $\dfrac{3}{4}$

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line CD is $\dfrac{3}{4}$ , it means the line must be of the form

$y=\dfrac{3}{4}x+b$

Coefficient of x is $\dfrac{3}{4}$ only in option a.

Therefore, the correct option is a.

Answer from: pinkyglitter3308

a) $y = \frac{3}{4} x + 3$

The equation of the straight line CD is $y = \frac{3}{4} x + 3$

Step-by-step explanation:

Step(i):-

Given points are A (-4,0) and B( 0,3)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{3-0}{0-(-4)} = \frac{3}{4}$

Slope of the line $m = \frac{3}{4}$

Step(ii):-

The equation of the straight line passing through the point ( -4,0) and having slope $m = \frac{3}{4}$

y - y₁ = m(x-x₁)

$y -0 = \frac{3}{4} ( x- (-4))$

$y = \frac{3}{4} x + 3$

The equation of the straight line AB is $y = \frac{3}{4} x + 3$

Step(iii):-

CD is parallel to the line AB

The equation of the straight line AB is $y = \frac{3}{4} x + 3$

4 y = 3 x + 12

3x - 4y +12 =0

The equation of the Parallel line is 3 x -4y +k=0

Passes through the point ( 0,3)

-12 +k=0

k =12

The equation of the Parallel line is 3 x -4y +12=0

4 y = 3 x+12

The equation of the straight line CD is $y = \frac{3}{4} x + 3$

Answer from: Quest

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

Answer from: Quest

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !

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