Answer:
The third choice.
Step-by-step explanation:
This is a linear function.
The equation is y = (x - 5)(5x + 4) - 5x^2.
y = 5x^2 - 25x + 4x - 20 - 5x^2
y = 5x^2 - 5x^2 - 21x - 20
y = -21x - 20
That means this is a linear function, with a linear term of -21x and constant term of -20.
Hope this helps!
Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
Answer:
X=1
Step-by-step explanation:
6 times x = 6x
6 times positive 3 = 18
6x +18 = 24
-18 -18
6x = 6
6 6
x = 1 :)
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y

Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102