Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Use two pints on the graph to find the slope:
(0,0) and (5,1)
Slope = Change in Y over the change in x.
Slope = (1-0) / (5-0) = 1/5 = 0.20
The slope of the given equation is 0.25 which is greater than 0.20.
The unit rate is greater in the equation.
1. Place your compass point on X and measure the distance to point Y. Swing an arc of this size above (or below) the segment.
2. Without changing the span on the compass, place the compass point on Y and swing the same arc, intersecting with the first arc.
3. Label the point of intersection as the third vertex of the equilateral triangle.
4. Use you straight edge and connect the points.
Answer:
3 students would get 10 markers
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = 
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