Step-by-step explanation:
points (-7,5) and (5,-3)?
This would mean to subtract the y coordinates:
5 - (-3) = 8
Then subtract the x coordinates in the same order:
-7 - 5 = -12
Then divide the y result by the x result for the slope:
8/-12 is the slope.
In simplest form, this is equivalent to -2/3
Answer:

Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:

We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:

Solving for m2:



Now we know the slope of the new line, we use the slope-point form of the line:

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:
x + 1/6 = 6 /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6
The correct result would be C. x = 5 5/6.
<u>Statement</u><u>:</u>
The circle has a diameter of 16 inches.
<u>To </u><u>find </u><u>out:</u>
The area of the circle.
<u>Solution</u><u>:</u>
- Diameter of the circle = 16 inches.
- Radius of the circle
- = Diameter ÷ 2
- = 16 inches ÷ 2
- = 8 inches
- We know, area of a circle = πr² where r is the radius.
- Therefore, the area of the circle
- = 3.14 × (8)² square inches
- = 3.14 × 64 square inches
- = 200.96 square inches
- = 201 square inches [rounded to the nearest square inch]
<u>Answer</u><u>:</u>
C) 201 square inches
Hope you could understand.
If you have any query, feel free to ask.