First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Answer:
see below
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
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You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
<u>Answer</u>
Time taken to paint the fence by Marco and Jaylyn is 2.72 hours
Heading can be given to this is work per hour
<u>Explanation</u>
Macro 6 hours to paint fence by himself
Therefore his 1 hour work = 1/6
Jaylyn 5 hours to paint the same fence by herself
Therefore 1 hour work of Jaylyn = 1/5
Together 1 hour work = 1/6 + 1/5 = 11/30
Therefore time taken to paint the fence together by them = 30/11 = 2.72 hours
Answer: 41,250$ (I think)
Step-by-step explanation:
1 hour —> 825$
40 hours —> 825$ x 40 = 33,000$
The after the 40 hours he gets paid x2 and he works for 5 hours
1 hour —> 825$ x 2 = 1,650$
5 hours —> 1650$ x 5 = 8,250$
33,000 + 8,250 = 41,250$
Answer:
The figure above is congruent by SSS axiom.
AB=DE (S)
AC=EF(S)
BC=DF(S)
Hence the given triangle are congrent.SSS axiom is Side.Side.Side axiom.
I think it will help you.
