B is the midpoint of AC and d is the midpoint of ce BD = 3x, and AE = 60. Find the length of AB if AC = 5x + 10.
2 answers:
Answer:
The length of AB is 30 units.
Step-by-step explanation:
Given B is the midpoint of AC and D is the midpoint of CE.
BD = 3x, AE = 60 and AC = 5x + 10
we have to find the value of AB.
As B is the mid point of AC and D is the mid-point of CE.
By mid-point formula, the length of line joining the mid-points of two sides of triangle is half of the parallel side.
∴
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⇒
As, B is the mid-point of AC
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The length of AB is 30 units.
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Answer:
The correct option is;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks
Step-by-step explanation:
The parameters given are;
Plant A:
Weeks, Height
0, 3
1, 4.8
2, 6.6
3, 8.4
The rate of change of height, H per week, t, for plant A per week is therefore;
Therefore we have;
H = 1.8 × t + 3
At week 6,
H = 3 + 6×1.8 = 13.8 inches
Plant B
Weeks, Height
2, 7.3
3, 8.7
4, 10.1
The rate of change of height, H per week, t, for plant B per week is given as follows;
Therefore we have;
When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀
Where:
H₀ = H at t = 0
H₀ = 7.3 - 2 × 1.4 = 4.5
At week 6 we have;
H = 4.5 + 6×1.4 = 12.9 inches
Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.
The correct option is therefore;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.