Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
Answer: 5
Step-by-step explanation:
the only whole number between them is 5 <3
Answer:
<h2>
64</h2>
Step-by-step explanation:
<h2>
10 x 4=40 3 x 8=24</h2><h2>
40+24=64</h2>
Answer:
x-intercept: (9,0)
y-intercept: (0,-9)
Step-by-step explanation:
The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.
1) To find the x-intercept, substitute 0 for y. Then, isolate x.
So, the x-intercept must be (9,0).
2) To find the y-intercept, substitute 0 for x. Then, isolate y.
So, the y-intercept must be (0,-9).
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
