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agasfer [191]
4 years ago
6

Figure ABCD is graphed on a coordinate plane.

Mathematics
2 answers:
Lesechka [4]4 years ago
6 0

20.9 Is your answer

Phoenix [80]4 years ago
3 0
1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. CD^2=HD^2+CH^2

CD^2=2^2+4^2=4+16=20

CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} *  \sqrt{5}=2 \sqrt{5}= 4.47

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)

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Nastasia [14]
*Hint: In order to find the distance between the two points the formula would be √((x2 - x1)^2 + (y2 - y1)^2)

Now that we know the formula, all we do is plug in the numbers.

√((2 - 2)^2 + (2.5 - 1.2)^2)
√ 0 + (1.3)^2
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The distance between the two points is 1.3.
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Step-by-step explanation:

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The top portion of this graph would be y = 4

The bottom portion would be y = x - 1


In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.


For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)


m = (y1 - y2)/(x1 - x2)

m = (4 - 2)(5 - 3)

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So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)


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Now put them together in an equation for the bottom part: y = x - 1

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