Answer:
x = 2
Step-by-step explanation:
According to the second equation, y = x + 4. Substitute x + 4 for y in the first equation, obtaining:
x + 2(x + 4) = 14, or:
x + 2x + 8 = 14
Combining the x terms, we get:
3x + 8 = 14
Combining the constant terms, we get:
3x = 6
Therefore, x = 6/3 = 2
1/4x-8=4
+8. +8
1/4x = 12
/ 1/4. / 1/4
X = No problem. 48
Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²
Step-by-step explanation:
- Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height
Sum of parallel sides = (10x - 2) + (16x + 10)
= 26x + 8 = 2(13x + 4)
Height = 10x - 9
⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)
= (13x + 4)(10x - 9) cm²
= 130x² - 117x + 40x - 36
A = 130x² - 77x - 36
The sum of an Arithmetic Series is given as:

where,
d = Common Difference = Difference of any two consecutive terms.
So,
d = 8
a1 = First term = 1
Using the values, we get:

The above equation gives the formula for n terms of an Arithmetic Series.
So, option A is the correct answer
5' 4" = 64" (5x12)+4
2' 7" = 31" (2x12)+7
3' 10" = 46" (3x12)+10
64+31+46= 141"
141/12= 11.75= 11 3/4
12" per foot / 4 denominator from above= 3
3 numerator from above x 3 quotient from above= 9
11' 9"