What is the value of the x variable in the solution to the following system of equations?
1 answer:
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Answer:
y = x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k =
y = x² ← equation of proportion
1) ,
,
,
(given)
2) (reflexive property)
3) (SSS)
4) (CPCTC)
5) and
are right angles (perpendicular lines form right angles)
6) and
are right triangles (a triangle with a right angle is a right triangle)
7) (HA)
8) (CPCTC)