Answer:
20
Step-by-step explanation:
We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.
Since we know the measure of two angles, we just have to do basic math:
180=90+70+x
solve for x (which equals 20) to get the measure of your acute angle
The diameter of the circle is 10.86
Goes +3
18, 21, 24, 27, 30
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
F(-5)=6(5*5)+4(-5)-11
f(-5)=6(25)+-20+-11
f(-5)=150+20-11
f(-5)=130-11=119
