The intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)
<h3>How to determine the intersection of the lines?</h3>
The lines are given as:
y = -14x + 3 and y = -32x+3
Substitute y = -32x+3 in
-32x+3 = -14x + 3
Evaluate the like terms
-18x = 0
Divide by -18
x = 0
Substitute x = 0 in y = -14x + 3
y = -14(0) + 3
Evaluate
y = 3
Hence, the intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)
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Answer:
$98.75
Step-by-step explanation:
50×75÷100 = 37.5 + 50 = 87.5
87.5 × 30 ÷ 100 = 26.5
87.5 - 26.5 = 61.25
87.5 + 61.25 = 148.75
148.75 - 50 = 98.75
i hope i am right
The common ratio is the current number divided by the previous. So the ratio is 1/2
The sequence is 12, 6, 3, 3/2, 3/4 ...
You can obtain any number multiplying the previous number times 1/2.
6 = 12 *(1/2)
3 = 6*(1/2)
3/2 = 3*(1/2)
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
Answer: x = 9
Step-by-step explanation:
15 / 20 = (2x + 3) / 28
cross multiply
15(28) = 20(2x + 3)
420 = 40x + 60
360 = 40x
x = 9
