∠VUR and ∠QRU are alternate interior angles, the line that links them is Z-shaped, which means that these angles are equal, so that:
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
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Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
Answer:
slope: 1; y-intercept: 3
Step-by-step explanation:
The y-intercept is the y-value where the graph crosses the vertical y-axis. That value is 3.
The slope is the "rise" divided by the "run" for the graph. Here, the graph goes up 1 unit for each unit to the right, so the slope is ...
m = rise/run = 1/1 = 1
The slope is 1, and the y-intercept is 3.
Answer:
d = 
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = 
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = 