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2 years ago

. Look at the graph for Exercise 3. How do you think you might use the graph to

Mathematics

2 answers:

bagirrra123 [75]2 years ago

6 0

Where is the graph????

mart [117]2 years ago

5 0

what graph

whaaaaaaaaaaaaaaaaa

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What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is $y=\frac{-2 x}{3}+\frac{-2}{3}$

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

$\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}$

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

$\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}$

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also $m=-\frac{2}{3}$

Equation of line passing through $(x_1 , y_1)$ and having slope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=2 \text { and } y_{1}=-2$

Substituting the values in equation of line we get

$(y-(-2))=-\frac{2}{3}(x-2)$

$\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}$

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

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as $y=\frac{-2 x}{3}+\frac{-2}{3}$

7 0

3 years ago

A triangle has dimensions 5, 7, and 11. A similar triangle is drawn with a scale factor of 1.4. What are the dimensions of the n

Artyom0805 [142]

Your answer would be B

3 0

2 years ago

Read 2 more answers

How do you write $2.161616 as a fraction and mixed number

faltersainse [42]

2.161616 = 2.161616/1 =21. 61616/10 = 216.1616/100 = 2161.616/1,000

= 21616.16/10,000 = 216161.6/100,000 = 2161616/1,000,000
As a mixed number = 2(161616/100,000)

8 0

3 years ago

The tent shown below has fabric covering all four sides and the floor. What is the minimum amount of fabric needed to construct

fenix001 [56]

Answer:

I believe the answer is 152 ft

Step-by-step explanation:

On the side, you would find the area of the square (8x5=40). Then, you would find the area of the triangular front (6x4=24 divded by 2 so it's 12). There are two sides of each, so 24+80=104. Then, you dfind the aarea of the bottom square (6x8=48) and add them all together to make 152

6 0

2 years ago

What is the solution to the system of equations -8x + 4y = -2, 2y = 1

Black_prince [1.1K]

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

5 0

2 years ago