Answer:
C. -4/5 x 8/9
the product of a negative number multiplied by a positive number is always negative
Answer:
ABCD is a rhombus
Step-by-step explanation:
Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...
AB = CD
2x +1 = 3x -11
12 = x . . . . . . . . add 11-2x to both sides
Sides AB and CD have length ...
2x +1 = 2(12) +1 = 24 +1 = 25
Then the length of side AD is ...
AD = x +13 = 12 +13 = 25
Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.
Write and solve an equation:
Total earnings = $782.75 = s(40 hrs) + 1.5*s*(7 hrs)
Then 782.75 = 40s + 10.5s = 50.5s
Dividing both sides by 50.5: s = 15.5. The attendant's regular hourly wage was $15.50.
Answer:
Step-by-step explanation:
Given : Expression = 
Simplifying the expression :
Step 1. Write the expression =
Step 2. Add the similar elements: 
= 
Step 3. Add the similar elements: 
=
Therefore, is the simplified form of
Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
