Answer:

Step-by-step explanation:
We have two fractions and are being asked to subtract them.
7/8 and 1/3 don't have the same denominator, so to do as so, we need to find the LCM of both denominators, multiply them to that, and do the same for the numerators.
So what is the LCM (Least Common Multiple) of 8 and 3?
24.
Therefore :



Answer:
It is a right angled triangle.
so
tan32 = p/b
or, tan32 = x/5
or, tan32×5 = x
so, x = 3.124
for 5 no. the answer is a. 3.124
For y,
cos32 = b/h
or, cos32 = 5/y
or, y = 5/cos32
so, y = 5.895
for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.
Solving a polynomial inequation
Solving the following inequation:
(x - 8) (x + 1) > 0
We are going to find the sign both parts of the multiplication,
(x - 8) and (x + 1), have when
x < - 8
-8 < x < 1
1 < x
Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive
We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1
Then
Answer:B
Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)

m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>