1. D
2. A
3. B
4. A
5. C
6. D
7. A
Answer:
C. 3
Step-by-step explanation:
To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so
8-5/2-1
3/1.
The slope is 3
Answer:
7 cm.
Step-by-step explanation:
Area of the 2 bases = total area - area of curved surface
= 408 - 100 = 308cm^2.
So the area of 1 base = 154 cm^2.
If radius of the base = r:
pi r^2 = 154
r^2 = 154/pi
r = sqrt (154/pi)
r = 7.0014 cm
Answer:
c) 5√2 cm
Step-by-step explanation:
A square with side length l has a perimeter given by the following equation:
P = 4l.
In this question:
P = 20
So the side length is:
4l = 20
l = 20/4
l = 5
Diagonal
The diagonal forms a right triangle with two sides, in which the diagonal is the hypothenuse. Applying the pytagoras theorem.
Lenght is a positive meausre, so
So the correct answer is:
c) 5√2 cm
So in these problems, we're dealing with absolute value. Absolute value is the real amount of the number, or it's real place value without a negative sign.
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6.
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.
