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2 years ago

Please help Solve the equation. 5|x-3|=15

Mathematics

1 answer:

Vlad1618 [11]2 years ago

4 0

Answer:

x=6 or x=0

Step-by-step explanation:

$5 |x - 3| = 15$

$|x - 3| = 3$

$x - 3 = 3$

$x - 3 = - 3$

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Solve for each System of Equation

weeeeeb [17]

using substitution.

$\bf \begin{cases}5x-2y=4\\2x-y=1\end{cases}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\\stackrel{\textit{solving the 2nd equation for \underline{y}}}{2x-y=1\implies 2x-1=\boxed{y}}~\hspace{5em}\stackrel{\textit{substituting the found \underline{y} in the 1st equation}}{5x-2\left( \boxed{2x-1} \right)=4}\\\\\\5x-4x+2=4\implies x=4-2\implies \blacktriangleright x = 2\blacktriangleleft$

$\bf \stackrel{\textit{now, we substitute the found \underline{x} in the 1st equation}}{5(2)-2y=4\implies 10-2y=4}\implies 10-4=2y\\\\\\6=2y\implies \cfrac{6}{2}=y\implies \blacktriangleright 3=y \blacktriangleleft\\\\[-0.35em]\rule{34em}{0.25pt}\\\\~\hfill (2,3)~\hfill$

7 0

2 years ago

Read 2 more answers

In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

$x \approx 33$

$\frac{\sin Y}{y} = \frac{\sin X}{x}$

$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

7 0

2 years ago

Robin invests $3,210 in an account that is compounded annually and pays

igor_vitrenko [27]

Answer:

the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment

Step-by-step explanation:

8 0

2 years ago

Simplify negative 15.5 divided by 5.

Naya [18.7K]

Divide:

-15.5/5 = -3.1

-3.1 is your answer

hope this helps

7 0

3 years ago

Read 2 more answers

The length of a room is 4 feet less than twice its width. The perimeter of

AlladinOne [14]

L=2W-4

PERIMETER=2L+2W

58=2(2W-4)+2W

58=4W-8+2W

58=6W-8

6W=58+8

6W=66

W=66/6

W=11 ANS. FOR THE WIDTH.

L=2*11-4

L=22-4

L=18 ANS. FOR THE LENGTH.

PROOF:

58=2*18=2*11

58=36+22

58=58

5 0

2 years ago