The easiest way to graph these equations is to place them in slope intercept form.
2x = 10 - 3y
3y + 2x = 10
3y = -2x + 10
y = -2/3x + 3 and 3/10
Then just place values in for x to determine y
If x = 0, y = -2/3(0) + 3 and 3/10; y = 3 and 3/10
x = 1; y = -2/3(1) + 3 and 3/10; y = 2 and 19/30
Repeat as needed for more points, then plot the points on the graph, and draw a line through the points.
The same can be applied to the second equation.
3x + 2y = 5
2y = -3x + 5
y = -3/2x + 2 and 1/2
x = 0; y = -3/2(0) + 2 and 1/2; y = 2 and 1/2
x = 1; y = -3/2(1) + 2 and 1/2; y = 1
Repeat as needed for more points, then plot points and draw a line through them.
Answer: 82.88
Step-by-step explanation:
BxHxW
7.4 x 3.2 = xxx
7.4 x 8 = xxx
So, what you'll do is combine both of the sums, and you will get 82.88
Answer:
the answer is the same as D 124 degrees
Step-by-step explanation:
Cylinder: 1²(3) = 3
3(9) =27
Prism: 4x3x6 =72
Total: 72+27 = 99in³
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
