Answer:
(-4, -8)
Step-by-step explanation:
Use the substitution method. x = -4, so y = (1/2)x - 6 becomes:
y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.
The solution is (-4, -8).
Answer: 46 yds².
Step-by-step explanation:
Find the area of all surfaces & add them up:
(5 · 3) + (5 · 3) + (1 · 3) + (1 · 3) + (1 · 5) + (1 · 5) = 15 + 15 + 3 + 3 + 5 + 5
= 30 + 6 + 10 = 36 + 10 = 46 square
Answer:
(- 4, 1 )
Step-by-step explanation:
A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.
B = (- 5, 4 ), thus
B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )
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Answer:
3/14
Step-by-step explanation:
5/7 minus 1/2 is 5/7 - 1/2
5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators
5/7 - 1/2
Step one
Find the lowest common multiple (LCM) of the denominators of each fractions
Multiples of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
Multiples of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
The lowest common multiple of 2 and 7 is 14
Step 2
The LCM of 2 and 7 becomes the common denominator for both fractions.
14/7 = 2
14/2 = 7
5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14
= 3/14
