Answer:
x = - 1
Step-by-step explanation:
Given
4x = x^2 - 5 Transfer 4x to the right side.
Solution
x^2 - 4x - 5 = 0 Factor
(x - 5)(x + 1)
You want the negative solution. That means that the middle sign must be plus.
x + 1 = 0 Subtract 10 from both sides
x = - 1 Ten on the left disappears by the subtraction process.
Is that correct?
4x = x^2 - 5
x = - 10
4*(-1) = (-1)^2 - 5
-4 = ? 1 - 5
-4 = - 4
and it does work.
Answer:
D
Step-by-step explanation:
To find the integer, you must cross multiply, group the same terms, then divide both side by 2:
Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9
Answer:
Step-by-step explanation:
85!/82! = 85*84*83 = 592620
n choose 0 is always equals 1
n P n also always equals 1
Answer:
The angle complies with the state regulations.
Step-by-step explanation:
The angle of elevation is the angle
in the figure, and from trigonometry we find that

taking the inverse sine of both sides we get

which gives

which is less than 5°, and therefore is well within the state regulations.