Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y <u>(Addition Property of Equality)</u>
1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>
<u />
y-y1=m(x-x1) <u>(point-slope formula)</u>
y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)
<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)
Since the properties of a rhombus tells us that both pairs of opposite sides are congruent we can therefore conclude that DB will be 12
Answer:
2
Step-by-step explanation:
One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.
Answer:
The reasonable prediction for successful rolls is 4.
Step-by-step explanation:
Assuming the rolling cube is a fair 6 sided cube, so the probability of success of one roll is given as


The total success is given as

For 24 rolls it is given as

So the reasonable prediction for successful rolls is 4.