Answer:

Step-by-step explanation:
<h3>Equation of the blue line:</h3>
since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

<h3>Equation of the red line:</h3>
remember The form of equation of a line

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:

from the graph we acquire ∆y=1 and ∆x=2
thus substitute:

so we have figured out m and b
therefore our equation of blue line is

our given options are in standard form so
move -3 to left hand side and change its sign:

cross multiplication:

move 6 to right hand side and x to left hand side and change its sign

multiply both sides by -1:

hence, our system of linear equation is

Answer:
5x + 17
Step-by-step explanation:
To answer this question, we must first simplify:
2 (x + 7) + 3 (x + 1) = 2x + 14 + 3x + 3
Then, we have to combine like terms:
2x + 14 + 3x + 3 = 5x + 17
And there is our answer, 5x + 17
Hope this helps ! :)
The given triangle is a <em><u>Right</u></em><em><u> </u></em><em><u>angled</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em>
<em><u>So</u></em><em><u>,</u></em><em><u> </u></em>by applying<em><u> Pythagoras theorem</u></em> :
here's the solution,
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value of b = 12 yards
(2½)/(⅗)=5/2×5/3=25/6 cups of soda to 1 cup of juice=4⅙ cups of soda per cup of juice.