Answer:
Step-by-step explanation:
P=5/12×2/12=5/72
You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point
:

- If you know the gradient two points
:

- The slope of a line is the coefficient m when you write it in the
form - Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get

c)
Use the second equation to get

d) same as c)
e) We derive the slope of the line by writing it as

So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).
Answer: 4.95 inches
Subtract: 36 - 31.05 = 4.95
Step-by-step explanation:
<em>Whoever created this question hasn't done much real electrical work! </em>
<em>An outlet (also known as a receptacle) usually requires about 4 to 6 inches of wire within the </em><u><em>junction box</em></u><em> to make the connections, depending on what else may be connected in the box. We don't have to measure to 0.05 of an inch. The insulation may have to be stripped precisely to 3/8, 1/2 or 5/8 inch for connections. </em>
The electrician used 3 feet of cable between junction boxes, and had 8 ¹/₂ inches pulled through the junction box. She needed 4 inches to connect the receptacle. How much the excess did she have to cut off?
Math questions should be realistic.
Slope: -4/10 = 4/-10
<u>Work</u><u>:</u><u> </u><u>y2-y1</u><u>/</u><u>x2-x1</u>
<u>1</u><u>)</u><u> </u><u>1</u><u>0</u><u>-6</u><u>/</u><u>-2-8</u>
<u>2</u><u>)</u><u>4</u><u>/</u><u>-10</u>