Answer: See below
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.
Triangle EFG
9²+b²=41²
81+b²=1681
b²=1600
b=√1600
b=40
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Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
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Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
17 because 4 x 1.5 = 6, 50 / 1.5 = 33.33
Get the x variable on one side and the numbers another side.
9/10(x + 2/3) = 4 1/2
Distribute the 9/10 across the x and 2/3.
(9/10)x + 18/30 = 4 1/2
Simplify 18/30 to make our life easier.
(9/10)x + 3/5 = 4 1/2
Subtract 3/5 from each side of the equation.
(9/10)x = 3 9/10
Divide both sides by 9/10.
x = 4 1/3
Answer:
-25
Step-by-step explanation:
(1) y = -2x²
(2) y = 2x² + k Subtract (1) from (2)
0 = 4x² + k Subtract 4x² from each side
k = -4x²
The parabolas are <em>symmetrical about the y-axis.</em>
Segment AB = 5, so x = +2.5 and x = +2.5.
k = -4(±2.5)² = -4 × 6.25 = -25
<h2>
</h2><h2>Option C</h2>
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