Which pair is a solution of the equation? <br> -7x+3y=2

Simplify the expression.<br> -5+i /2i

Andrei [34K]

Answer:

$\frac{1+5i}{2}$

Step-by-step explanation:

We know i×i=i^2 which has value of -1.

We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).

Also multiplying by i/i does not change the value of the fraction because i/i=1.

Numerator × i gives (-5+i)i=-5i+i^2=-5i-1

=-1-5i.

Denominator × i gives (2i)i=2i^2=-2.

So the simplified version of this fraction given is:

$\frac{-1-5i}{-2}=\frac{1+5i}{2}$

The last simplification come from me multiplying fraction by -1/-1.

6 0

4 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

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7 0

3 years ago

A. Alternate exterior angles

tresset_1 [31]

Answer:

D

Step-by-step explanation:

Supplementary = 180 degrees aka straight line

3 0

3 years ago

What is the value of x and y

Anestetic [448]

Step-by-step explanation:

8y+17°=6x+7° (vertical opposite angle)

6x+7=3x-29. (interior angle on same side)

3x=-36

x=-12°

B=C

-72+7=-36-29

-65=-65

6 0

3 years ago

Given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.

Hitman42 [59]

$\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}$

Step-by-step explanation:

<h3>Given →</h3>

5x:9 = 7:3

→ 5x/9 = 7/3

→ x = (7 × 9)/(3 × 5)

→ x = 21/5

<h3>Hope it helps you!!</h3>

8 0

2 years ago

Which pair is a solution of the equation? -7x+3y=2