Answer:
x = 3 is extraneous
Step-by-step explanation:
Given
= x - 5 ( square both sides to clear the radical )
4x - 8 = (x - 5)² ← expand using FOIL
4x - 8 = x² - 10x + 25 ( subtract 4x - 8 from both sides )
0 = x² - 14x + 33 ← in standard form
0 = (x - 11)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x - 3 = 0 ⇒ x = 3
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 11
left side = 
= 
= 6
right side = 11 - 5 = 6
Thus x = 11 is a solution
x = 3
left side = 
= 
= 2
right side = 3 - 5 = - 2 ≠ 2
Thus x = 3 is an extraneous solution
Answer:
Angle A = 40
Angle B = 60
Angle C = 80
Step-by-step explanation:
The three angles of a triangle are in the ratio
2:3:4
Multiply by x
2x:3x:4x
The sum of the angles is 180 degrees
2x+3x+4x = 180
9x = 180
Divide by 9
9x/9 = 180/9
x = 20
The value of x is 20
A B C
2*20:3*20:4*20
40 60 80
Angle A = 40
Angle B = 60
Angle C = 80
X^2+y^2=z^2
x^2+96^2=100^2
x=sqrt(100^2-96^2)
x=28 so the distance from the base of the ladder and the base of the ladder is 28ft.
Hope this helps. Any questions please just ask. Thank you.
Answer:
negative correlation
Step-by-step explanation:
his fuel keeps decreasing every time he uses his motorcycle
