Answer:
The triangle is translated 2 units down and 4 units to the right.
Step-by-step explanation:
The length of the ramp is 61 feet.
<h3>What is the length of the ramp?</h3>
In order to determine the length of the ramp, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
√11² + 60²
√121 + 3600
√3721
= 61 feet
Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
<h3>The solution is (x, y) = (3, -24)</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x - y = 15 -------- eqn 1
y = -8x ------ eqn 2
We have to find solution of (x, y)
We can solve by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
-3x - (-8x) = 15
-3x + 8x = 15
5x = 15
Divide both sides by 5
<h3>x = 3</h3>
Substitute x = 3 in eqn 2
y = -8(3)
<h3>y = -24</h3>
Thus solution is (x, y) = (3, -24)
Answer:
Domain: -∞≤x≤∞
Range: 0≤F(x)≤∞
Step-by-step explanation:
The x variable can take any value.
In the case of F(x), the function only can take positive values, due to the absolute value function, and the function does not have any other restriction.