Answer:
C.
Step-by-step explanation:
Perpendicular Lines have opposite slopes or meaning their slopes are negative reciprocals. Parallel Lines have the same slopes.
Perpendicular Lines Ex.
2/3 and -3/2
Parallel Lines Ex.
2/3 and 2/3
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Answer:
2 1/10
Step-by-step explanation:
convert the decimal number to a fraction by placing the decimal number over a power of ten. since there is 1 number to the right of the decimal point, place the decimal number over 10^1 (10). next, add the whole number to the left of the decimal.
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Answer:
5.7a - 18.2b
Step-by-step explanation:
<u>Step 1: Write the equation</u>
(12.2a + 9.7b) – (18.1b – 0.2a) – (6.7a + 6.8b)
<u>Step 2: Open all brackets</u>
12.2a + 9.7b - 18.1b + 0.2a - 6.7a - 6.8b
<u>Step 3: Arrange all 'a' together and all 'b' together</u>
12.2a + 0.2a - 6.7a + 9.7b - 18.1b - 6.8b
<u>Step 4: Simplify</u>
5.7a - 18.2b
!!
The numbers in the sequence will be 40, 80, and 160.
<h3>How to get the values?</h3>
Let x be the first number in the sequence, so the first three numbers are {x, 0.5x, 0.5²x}.
Then
{x/4 + 10, 0.5x - 10, 2(0.5²x) + 10}
0.5x - 10 = x/4 + 10 + c = x/2 - 10 = x/4 + 10 + c
2(0.5²x) + 10 = 0.5x - 10 + c = x/2 + 10 = x/2 - 10 + c
Solve the second equation for c :
x/2 + 10 = x/2 - 10 + c
c = 20
Substitute this into the first equation and solve for x :
x/2 - 10 = x/4 + 10 + 20
x/4 = 40
x = 160
Then the terms are {160, 80, 40}
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100 as a product of its prime factors:
