We can split this up into 3 rectangles. 2 vertical ones (8 x 3) and one horizontal one in the middle (5 x (8 - 5)
8 x 3 = 24
24 x 2 = 48
5 x (8-5) = 5 x 3 = 15
now add 48 + 15 = 63 cm^2
15 - 9 + 2.65 + 1.35 + 3.48
6 + 2.65 + 1.35 + 3.48
8.65 + 1.35 + 3.48
10 + 3.48
13.48
M<ABC = m<EBD = 36 (vertical angles)
78 - x + 36 + 3x - 10 = 180 (straight angle)
Now solve for x
78 - x + 36 + 3x - 10 = 180
2x + 68 = 180
- 68 -68 (subtract 68 on both sides)
2x = 58
x = 29
Answer: 4
The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given
Flip the sign to get -1/4 turn into +1/4 or just 1/4
Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.
Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.
Answer: OPTION C.
Step-by-step explanation:
1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.
2. You can make the denominator equal to zero and solve it, as you can see below:
3. Therefore, the domain is:
(-∞,0)U(0,1)U(1,∞)
