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kati45 [8]
2 years ago
11

What is the slope of the line represented by the equation –5x+2y= 10 ?

Mathematics
2 answers:
Tomtit [17]2 years ago
5 0
Work shown above! Slope is 5/2. Basically you have to get this equation to the form y = mx + b by getting y by itself. m is the slope which in the end turns out to be 5/2.
hope this helps C:

Gemiola [76]2 years ago
3 0
The slop of the line that is represented by the equation -5x + 2y = 10 is \frac{5}{2}
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Corresponding sides touch the same two angle pairs.

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Rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
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2 years ago
Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5
Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

                                = 8 units

CB =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

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HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD.  A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So,  we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

6 0
2 years ago
A display case in the shape of a rectangular pyramid has a base that is 1234 inches by 9 inches. It is 8 inches tall. What is th
Jlenok [28]

Answer:

864 cubic inches

Step-by-step explanation:

Complete Question

A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?

The volume of a rectangular pyramid =

Area of the base × Height of the pyramid

Base has dimensions = 12 inches by 9 inches.

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Height of the pyramid = 8 inches

Volume of rectangular pyramid =

Area of the base × Height of pyramid

= 108 square inches × 8 inches

= 864 cubic inches

Therefore, the volume of the display case is 864 cubic inches

3 0
3 years ago
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