Answer:
A
Step-by-step explanation:
X is a right angle, so it is equal to 90 degrees. because angle C is 54 degrees, 90 degrees and 54 degrees are added. Then, you subtract the total of those two numbers (144) from 180, and get 36 degrees. In conclusion, x=90 and y=36
7. tan º = o/a
tan 24 = 24/x
24*tan 24 = x
x= 53.904
8. tan º =o/a
tan 24= 24/x
24/tan 24 = x
x= 53.904
9. cos º = a/h
cos 34 = x/46
46*cos 34 = x
x=38.135
Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]