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Mathematics

1 answer:

bezimeni [28]4 years ago

6 0

Use the distance formula to find the length of one of the longer lines and do the same for one of the shorter ones.

Longer line using the points (-5,5) and (0,-5):-
length = sqrt ( 5-- 5)^2 + ( -5-0)^2 = sqrt 125

short line:- using the points (-5,5) and (-1,7)
length = sqrt (-5--1)^2 + (5-7)^2 ) = sqrt 29

So the area of the rectangle = sqrt125 * sqrt29 = 60.21 to nearest hundredth

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OleMash [197]

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3 years ago

Write an absolute value equation to satisfy the given solution set shown on a number line.

aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.

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3 years ago

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Fed [463]

Answer:

hope it was helpful!! You are welcome to ask any question