Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

We'll take the first two points P(34,-52) and Q(51,-65) to find

Let's verify if the third point is on the line:

It belongs to the line. To find the y-intercept of the line, we set x to 0

The y-intercept is (0,-26)
Answer:
x=30
Step-by-step explanation:
Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle
Thus, 2x+6+36=4x-18
2x+42=4x-18 add 18 to both side
2x+60=4x minus 2x
60=2x
x=30
Answer:
x= 0 ,
, 
Step-by-step explanation:
Given, equation is
+
=
. →→→ (1)
Now, by cubing the equation on both sides, we get
(
+
)³ = (
)³
⇒ (15x-1) + (13x+1) + 3×
×
(
+
) = 64 x.
⇒ 28x + 3×
×
(
) = 64x.
(since from (1),
+
=
)
⇒ 12×
×
(
)= 36x.
⇒ 3x =
.
Now, once again cubing on both sides, we get
(3x)³ = (
)³.
⇒ 27x³ = (15x-1)(13x+1)(x).
⇒ 27x³ = 195x³ + 2x² - x
⇒ 168x³ + 2x² - x = 0
⇒ x(168x² + 2x -1) = 0
⇒ by, solving the equation we get ,
x = 0 ; x =
; x = 
therefore, solution is x= 0 ,
, 
Difference of a number and 17: x - 17
eight times that = 8(x - 17)
8(x - 17) = 30
divide both sides by 8
x - 17 = 30/8
x = 30/8 + 17 which is 20.75