Let the equation of the given line be y=mx+a. This line has slope m and the parallel line will have the same slope.
Then the equation of the parallel line to the line y=mx+a will be y=mx+b. Since line <span>passes through the point (–2, 2), the coordinates of this point suit the equation:
</span><span>
</span><span>2=m·(-2)+b,</span>
2=-2m+b,
b=2+2m
and the equation is y=mx+2m+2.
You should only to paste correct m from the given equation.
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Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Answer:
45 minutes is 3/4 of an hour, so find 3/4 of 12.
Divide 12 by 4 to get 1/4 of 12. That is 3.
3/4 is 3 of those, so multiply it by 3 to get 9.
So, she will have biked 9 miles.
Permutation
45 choices for first slot
44 for 2nd
43 for 3rd
answer is 45*44*43=85140 number of 3 person teams
Answer:
Noah did not make any error
Step-by-step explanation:
The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.
Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.
Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122
So, Noah was correct.
