Answer:
Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by
m = 8% = 8/100
run = y = 2km
Verification:
%
The solution to the equation would be 21.5
Why?
If you do the equation backwards
30 - 8.5 = x
You would get 21.5
You can plug it into the first equation to check!
:)
Answer:
(3x + 1)²
Step-by-step explanation:
Given
9x² + 6x + 1 ← is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare like terms to find a and b
a²x² = 9x² ⇒ a² = 9 ⇒ a = 
= 3
b² = 1 ⇒ b = 
= 1
and 2ab = 2 × 3 × 1 = 6
Thus
9x² + 6x + 1 = (3x + 1)²
Answer:
the answer is 6:8 or 9:12
Step-by-step explanation:
Answer:
y - 7 = (x + 5)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Slope(m) = 1
Point: (-5, 7) = (x1, y1)
To write the equation in point-slope form, we need to know the slope and one point. Since we were already given the values of the slope and one point, all we have to do is input those values into the equation:
y - y1 = m(x - x1)
y - 7 = 1(x - (-5))
y - 7 = (x + 5)
The equation in point-slope form is: y - 7 = (x + 5)
