Answer:
(7,5)
Step-by-step explanation:
{2x + 4y = 34
{4y = 27 - x
2x + 27 - x = 34
x=7
4y = 27 - 7
y = 5 so the answer is ( 7,5)
<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
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<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
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<em>b is negative, so −b is positive.</em>
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<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
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<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
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<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
Answer:
-6M
Step-by-step explanation:
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Answer:
Step-by-step explanation:
5x + 2y = 20
Here we will show you how to calculate the following:
Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.
Calculate the graph plot coordinates for 5x + 2y = 20
Solve 5x + 2y = 20 for x and also for y.
Calculate and show the solution for the slope of 5x + 2y = 20
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
5x + 2y = 20
5x + 2(0) = 20
x1 = 4 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
5x + 2y = 20
5(0) + 2y = 20
y2 = 10 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:
(x1,y1) and (x2,y2)
(4,0) and (0,10)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20
m = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 - 4)
m = -2.5
