An equation of line with a slope of 1/3 and containing the point (-4,7) is
y = 1/3 x + 25/7
In this question, we have been given
slope (m) = 1/3
and a point (-4, 7)
We need to find an equation of a line with a slope of 1/3 and containing the point (-4,7)
Using the formula for the slope-point form of equation of line,
y - y1 = m(x - x1)
y - 7 = 1/3(x + 4)
y - 7 = (1/3)x + 4/3
y = (1/3)x + 4/3 + 7
y = 1/3 x + 25/7
Therefore, an equation of line with a slope of 1/3 and containing the point (-4,7) is y = 1/3 x + 25/7
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Answer: b would be: 59.
Step-by-step explanation:
180-60= 120
120-61= 59
hope this helped <3
-9 will be the answer to the problem
The solutions to the given inequalities are x < 6 OR x < -10
<h3>Linear Inequalities </h3>
From the question, we are to solve the given inequalities
The given inequalities are
6x - 4(2x - 5) > 8 or 5x + 9 < 2x - 21
First solve,
6x - 4(2x - 5) > 8
Clear the bracket
6x -8x + 20 > 8
6x - 8x > 8 - 20
-2x > -12
Divide both sides by -2 and flip the sign,
That is,
-2x/-2 > -12/-2
x < 6
For,
5x + 9 < 2x - 21
Subtract 2x from both sides
5x - 2x + 9 < 2x - 2x -21
3x < -21 -9
3x < -30
Divide both sides by 3
3x/3 < -30/3
x < -10
Hence, the solutions to the given inequalities are x < 6 OR x < -10
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Answer:
1497 - 202
Step-by-step explanation:
The question is saying that the Las Vegas trip was longer so we know to put that first in the expression
we can also tell that the question is asking us for the difference (aka subtraction) between the two trip by the key words <em>how much longer</em>
and then it tells us that we are finding the difference between Las Vegas and Cheyenne so we know to use those two numbers
that is how we come up with the expression 1497 - 202