Answer:
85 is the correct answer I think
Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
Answer:
x=5 y=-1
Step-by-step explanation:
y=-5x+24
y=4x-21
Since both equations are equal to y, we can set them equal to each other
-5x+24=4x-21
Add 5x to each side
-5x+5x+24=4x+5x-21
24 = 9x-21
Add 21 to each side
24+21 = 9x-21+21
45 = 9x
Divide by 9
45/9 = 9x/9
5 =x
Now we need to find y
y = 4x-21
y =4(5) -21
y =20-21
y =-1
Answer:
(3, 5) U (5, ∞)
Step-by-step explanation:
The derivative has zeros at -2, 3, and 5. It changes sign only at x=3, being zero or negative to the left of that point, and being zero or positive to the right of that point. The function increases where the derivative is positive (not zero), so on the interval ...
(3, 5) U (5, ∞)
_____
The function f'(x) will touch the x-axis, but not cross, at x=-2 and x=5, where the powers of the factors (x+2) and (x-5) are even. The function will cross the axis where the power of the factor is odd, at x=3.
Each place where the derivative is zero corresponds to a flat spot in the function. (The function is neither increasing nor decreasing there.) The higher the power of the corresponding factor in the derivative, the "flatter" the function is at that point.
