Answer:
D. 5y^2 - 4y - 1
Step-by-step explanation:
Combine like terms:
(y^2 -y +1) +(4y^2 -3y -2)
= y^2(1 +4) +y(-1-3) +(1 -2)
= 5y^2 -4y -1
From points (2, 0) and (6, 0), you can get base = 6 - 2 = 4.
From point (8, 5), you get a height of length 5.
A = bh/2 = 4 * 5/2 = 10
Area = 10 square units
Answer:
Balance Divided By Lunch Cost
Step-by-step explanation:
Divide $36.80 by $1.15 to receive the answer 32. She can eat for 32 days.
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
