Answer: Original expression: 2x - 11 + 4x + 7 + 3(x-4)
Simplified: 9x - 16
Step-by-step explanation:
2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12
Group like terms, then combine to simplify:
2x + 4x + 3x -11 + 7 - 12
2x + 4x + 3x = 9x
-11 -12 + 7 = =23+7= -16
Simplified expression: 9x - 16
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
M<A + m<B = 180
5y + 9y + 68 = 180
14y + 68 = 180
14y = 180 -68
14y = 112
y = 112/14
y = 8
so
m<B = 9y + 68
m<B = 9(8) + 68
m<B = 72 + 68
m<B = 140
Answer: w= -5.5
Step-by-step explanation: -27.5/5=-5.5. w = -5.5
Answer: The number pi is an irrational number
Step-by-step explanation:
Pi is irrational because it will never end and at the same time doesnt have a pattern in which the numbers repeat. Here are some of the numbers in pi 3.14159265359
