Answer: 16.6
Step-by-step explanation:
a = slope = 0.6
b = y-intercept = -4
c = x intercept = 20/3. (Set y=0 and solve for x)
So, a+b+3c = 0.6 - 4 + 3*20/3 = 16.6
Answer:
7.2
Step-by-step explanation:
Given that in triangle LMN, LO is angle bisector of angle L.
LN =10 and LM =18
By angle bisector theorem for triangles we have
LN/LM = NO/MO
Substitute the values for known things and x for MO
We get
10/18 = 4/x
Or cross multiply to get
10x=72
x=7.2
So answer is 7.2
Answer:
x = 2 ±i
Step-by-step explanation:
x^2 = 4x-5
Subtract 4x from each side
x^2 - 4x = 4x-5 -4x
x^2 - 4x= -5
Complete the square
Take the coefficient of the x term, divide by 2 and square it
-4/2 =2 2^2 =4
Add 4 to each side
x^2 -4x+4 = -5 +4
The left side is (x-coefficient of the x term/2)^2
(x-2)^2 = -1
Take the square root of each side
sqrt((x-2)^2) = sqrt(-1)
x-2 = ±i
Add 2 to each side
x-2+2 = 2 ±i
x = 2 ±i
