What is the y-intercept of the line shown?
2 answers:
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Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± = ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
|2x + 12| = 18
First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. /
Subtract 12 from both sides. /
Subtract 18 - 16. /
Divide both sides by 2. /
Simplify. /
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. /
Add 12 to both sides. /
Add 18 + 12. /
Divide both sides by -2. /
Simplify. /
Simplify. /
Fourth, collect the solutions. /
Answer: x = -15, 3
First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. /
Subtract 12 from both sides. /
Subtract 18 - 16. /
Divide both sides by 2. /
Simplify. /
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. /
Add 12 to both sides. /
Add 18 + 12. /
Divide both sides by -2. /
Simplify. /
Simplify. /
Fourth, collect the solutions. /
Answer: x = -15, 3