Answer:
8x - 6
Step-by-step explanation:
5x - 2 - (-3x + 4)
1) Distribute
5x - 2 + 3x -4
2) Combine like terms
8x - 6
Answer:
x = 11
Step-by-step explanation:
3/(3(2x-3)) = 2/(3x+5)
3(2x-3) = 6x - 9
3/(6x-9) = 2/(3x+5)
3(3x+5) = 2(6x-9)
9x + 15 = 12x - 18
12x - 9x = 15 + 18
3x = 33
x = 11
Answer:
7.92 m.
Step-by-step explanation:
Mean height = ∑(f . x) / ∑f where x is the midpoint and f the frequencies
The midpoints for the heights are:
2 for frequency 8 ( 0 + 4)/ 2 = 2
6 for .. 21
10 for .. 12
14 for .. 7
18 for .. 2
So the mean is:
[(2*8) + (6*21) + (10*12) + (14*7) + (18*2) ] / (8 + 21+12+7+2)
= 396 / 50
= 7.92 m.
The area of the triangle is 90 m²
Explanation:
Given that the base of the triangle is 15 m
The altitude of the triangle is 12 m
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where b is the base and h is the altitude
Thus, we have,
and 
Substituting the values in the above formula, we get,
Multiplying the terms, we get,
Dividing, we get,
Therefore, the area of the triangle is 90 m²
