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Nimfa-mama [501]
3 years ago
15

What would be the best first step in solving this system?​

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

B. substitute for X in first equation

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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
4 years ago
The radius of the Ferris wheel is shown. Which is the circumference of the Ferris
yulyashka [42]
The answer is c=250 feet because the circumference is twice the radio us I’m pretty sure.
4 0
3 years ago
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Simplified ratio 0.4
Zarrin [17]
2:5

It can also be expressed as 2 to 5 or 2/5
6 0
3 years ago
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HURRY
malfutka [58]

Answer:

<em>x = 3.</em>

Step-by-step explanation:

1.  <u><em>Add 2 + 7, and you get 9.</em></u>

2.  <u><em>Now find what 3 multiplied by what equals 9.</em></u>

3. <em><u>3 x 3 = 9.</u></em>

4.  <em><u>Therefore, x = 3.</u></em>

5.  <em><u>3 x 3 - 2 = 7.</u></em>

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3 years ago
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Serena has a summer job as a lifeguard at the neighborhood pool. She earns $240 a week. By rounding her weekly income to the nea
Nesterboy [21]
<h2>Answer: B </h2>

Step-by-step explanation:

If your rounding her weekly income you would go down to $200 then take that times 11 for each week, giving you $2,200 roughly

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4 years ago
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