Simplifying
9 + -2x = 35
Solving
9 + -2x = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -2x = 35 + -9
Combine like terms: 9 + -9 = 0
0 + -2x = 35 + -9
-2x = 35 + -9
Combine like terms: 35 + -9 = 26
-2x = 26
Divide each side by '-2'.
x = -13
Simplifying
x = -13
14 hours
672 miles / 48 mph = 14 hours total
Answer:
The equation for b would be y = 1/2x + 1
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,1) and (2, 2). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(2 - 0)
m = 1/2
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Answer:
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
Represent the height of the nest by h. This is the vertical side of a triangle. The horizontal side is 10 ft.
The following relationship is true:
tan 55 degrees = (opposite side) / (adjacent side), and in this case,
tan 55 degrees = h / 10 ft, so that:
h = height of nest = (10 ft)(tan 55 degrees), or
h = (10 ft)(1.428) = 14.28 ft
