Answer:
1095
Step-by-step explanation:
There is a common difference between consecutive terms , that is
7 - (- 10) = 24 - 7 = 17
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 17 , thus
= - 10 + (65 × 17) = - 10 + 1105 = 1095
Answer:
Step-by-step explanation:
4n - 6m = - 2 Subtract 4n from both sides.
4n-4n - 6m = -2-4n
-6m = - 2 - 4n Divide by - 6
-6m/-6= -2/-6 -4n/-6 Do the division
m = 1/3 + 2n/3
The signs change because each term has 2 minus signs. 2 minus signs make a plus. Or both minus signs cancel.
Answer:
40.5 cm
Step-by-step explanation:
So think about it what is the Formula for a Trapezoid? Well it's h(b1+b2)/2! So we use this formula and place the numbers in there! When you're done you should have this: 6(9+4.5)/2. Now we will do <u>PEMDAS</u> (parenthesis, exponents, multiplication, division, addition, subtraction). from left to right. So we first do 9+4.5. That equals 13.5. Then we times that by 6, which is 81. Then we finally divide it by 2. Then there's your answer! :D
1/3(n - 1/3) = 1/6n
1/3n - 1/9 = 1/6n
-1/9 = 1/6n - 1/3n
-1/9 = 1/6n - 2/6n
-1/9 = - 1/6n
-1/9 * -6 = n
6/9 = n
2/3 = n