12x = 10x + 3
Subtract 10x from both sides
2x = 3
Divide by two on each side
x = 3/2 or 1 1/2 hours
Distance of the trip:
12 * 2 * 3/2 = 36 miles
How long does the trip take:
3/2 + 3/2 + 3/10 = 3 3/10 hours
Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
Area of a triangle is Base x Height divided by 2
Therefore,
10 • 14
---------- = 70 units squared
2
You can multiply 2x7 to get 14