Answer:
B.) 3
/4
.
Explanation:
Since the point (p,r) lies on the line with equation y=x+b, the point must satisfy the equation. Substituting p for x and r for y in the equation y=x+b gives r=p+b, or b = r−p.
Similarly, since the point (2p,5r) lies on the line with the equation y=2x+b, the point must satisfy the equation. Substituting 2p for x and 5r for y in the equation y=2x+b gives:
5r=2(2p)+b
5r=4p+b
b = 5r−4p.
Next, we can set the two equations equal to b equal to each other and simplify:
b=r−p=5r−4p
3p=4r
Finally, to find r
/ p
, we need to divide both sides of the equation by p and by 4:
3p=4r
3 = 4 / r
/p
3
/4 = r
/p
The correct answer is<em> B.) 3
/4
.</em>
If you picked choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.
Answer:
The rock cycle describes how rocks change as a result of natural processes. The rock cycle forms new rocks using the crystallization, erosion and compaction processes. This makes the correct answer: D: all of the above. Igneous rocks for example are rocks formed from the crystallization( formation of rock crystals in cooling magma) of a liquid. Sedimentary rocks are formed by erosion. However, in order to form a sedimentary rock, the accumulated sediment must become compacted and cemented together.
Answer:
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