Simplify the expression as a single fraction 2a/3 + a/4
1 answer:
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Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
Answer:
11
Step-by-step explanation:
Given:
Using PEDMAS rule to solve it.
Now, simplifying:
We first open parenthesis which is (-7) = -7
=
Now, we evaluate the exponent which is
Next, we divide -36 by 12 to get -3
=
Next, we multiply -2 and -7 to get 14
=
Lastly, we add -3 and 14 to get 11
=
∴ Answer is 11
Solution :
Given :
Span of the roof = 48 feet
Length of the rafter = 30 feet (including the 4 feet overhung)
So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.
Therefore, the horizontal span per rafter is
= 24 feet
a). So the rise of the roof is
= 10 feet
b). Pinch of the roof is
c). The percent of the roof used as overhung is
= 13.33 %