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Vladimir [108]
2 years ago
12

What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer. ​

Mathematics
1 answer:
Sedaia [141]2 years ago
8 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

We can solve for y to find the slope of the given line.

  x +2y = 2

  2y = -x +2 . . . . . subtract x

  y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

  -1/(-1/2) = 2

A perpendicular line will have a slope of 2.

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Mr Stanford wrote 65 pages of a travel brochure. he wants to divide it into 8 equal sections. How many pages will be in each sec
Debora [2.8K]

Answer:

8/1

Step-by-step explanation:

7 0
2 years ago
Can someone help me? thanks!
masha68 [24]
So you know that 1 cubic foot is equal to 80 pounds. So, the first point would be (1,80). 
You can find the other points by multiply 80 by a number, and when I did that, I got (2,160) and (3,240) too.

I hope this helps :)
6 0
3 years ago
Find an equation of the line that passes through the points (3,-2) and (-7,6).
Ulleksa [173]

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How would you go about finding the area and perimeter of a composite figure?
fgiga [73]

Explanation:

The area is the sum of the areas of the non-overlapping parts. The figure is called "composite" because it is composed of figures whose area formulas you know. Decompose the figure into those, find the area of each, then sum those areas to find the area of the whole.

<u>For example</u>

If the figure consists of a rectangle and semicircle, find the areas of each of those. Then add the areas together to find the total area.

__

Likewise, the perimeter of a composite figure will be the sum of the "exposed" perimeters of the parts. (Some edges of the figures making up the composition will be internal, so do not count toward the perimeter of the composite figure.)

<u>For example</u>

If the curved edge of the semicircle of the figure described in the example above is part of the perimeter, then its length will be half the circumference of a circle. If the straight edge of the semicircle is "internal" and not a part of the perimeter, its length (the diameter of the semicircle) may need to be partially or wholly subtracted from the perimeter of the rectangle, depending on the actual arrangement of the composite figure. In other words, add up the lengths of the edges that "show."

_____

<em>Additional comments</em>

In the above, we have described how to add the areas of parts of the figure. In some cases, it can be easier to identify a larger figure, or one that is more "complete", then subtract the areas of the parts that aren't there. For example, an L-shaped figure can be decomposed into two rectangles. Or it can be decomposed into a larger rectangle covering the entire outside dimensions, from which a smaller rectangle is subtracted to leave the L-shape. Depending on how dimensions are shown, one computation or the other may be easier.

Likewise, for the purposes of computing the perimeter, lines of the figure may be rearranged in any convenient way, as long as their total length doesn't change. The L-shape just described will have a perimeter exactly equal to the perimeter of the rectangle that encloses its outside dimensions, for example. You can see this if you move the two lines forming the concave edges.

Familiarity with area formulas can help with area. For example, you know that the area of a triangle is the same as that of a rectangle half the height. Likewise, the area of a trapezoid is the area of a rectangle with the same height and a width equal to the midline of the trapezoid.

5 0
3 years ago
Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___
BaLLatris [955]

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x

Using a calculator x would be about 8.4

4 0
2 years ago
Read 2 more answers
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