Answer:
40
Step-by-step explanation:
The parallelograms are similar, so their corresponding sides are proportional. Write a proportion:
12 / 30 = 16 / PQ
Cross multiply:
12 PQ = 480
Solve for PQ:
PQ = 40
By using the elimination method, you would essentially add the two equations together by combining like terms. normally this would require manipulation however this equation doesn't because the y is already opposites of each other. (a negative and positive value of the same number i.e. -2 and 2)
so add the two equations together and you're left with 2x = 16, (they y's cancelled each other out) then divide two on both sides to get x = 8
now, use that x value in either equation (it doesn't matter which), we can use -3x+2y=-26
plug it in to get -3(8) + 2y = -26
which is then -24 + 2y = -26
add 24 to both sides: 2y = -2
divide 2 on both sides: y = -1
now knowing x=8 and y= -1 we can say that the answer is (8,-1)
hope this helps!!
Answer:
1. y = 1/5 x + 3
2. y = 3x
3. y = -3x + 5
4. y = 1/3 x + 5
Step-by-step explanation:
You can see each y-intercept on the graph.
The slope is rise/run.
9514 1404 393
Answer:
15.7°
Step-by-step explanation:
The law of cosines can be used to find side s:
s² = r² +q² -2rq·cos(S)
s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903
s ≈ 16.849
Then the law of sines can be used to find angle Q.
sin(Q)/q = sin(S)/s
sin(Q) = (q/s)sin(S)
Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°
Angle Q is about 15.7°.
Answer:
17/k
Step-by-step explanation:
The algebraic expression is to divide 17 by k
17/k This can't be simplified because there is a variable in the denominator.
