The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.
<h3>What is mathematical expansion?</h3>
An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.
14(p + 6) − 10(2q + 5)
If we open the bracket, we have
14p − 20q + 34
Therefore option D is correct.
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Answer:
6n - 1.
Step-by-step explanation:
Arithmetic sequence.
a1 = 5, d = 6.
nth term = a1 + d(n - 1)
= 5 + 6(n - 1)
= 5 + 6n - 6
= 6n - 1.
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
