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AnnyKZ [126]
3 years ago
13

Which of the following lines goes downwards from left to right?

Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0
"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right. 

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2 

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept
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There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test  = 5

The total number of multiple choice questions = 3

The total number of True/False question = 2

Let the numbers of the given question be 1,2 ,3,4, and 5.

Now, the total number of options available to answer question 1 = 5 options

Similarly,  number of options available to answer question 2 = 5 options

The number of options available to answer question 3 = 5 options

The number of options available to answer question 4 = 2 options ( T or F)

The number of options available to answer question 5 = 2 options ( T or F)

So, here the total available options to answer all 5 questions

= The total option available for  question ( 1 x 2 x 3 x 4 x 5)

= ( 5 ways  x 5 ways x 5 ways x 2 ways x 2 ways)

= 500 ways

Hence, there are total 500 ways in which Caroline can answer the exam.

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3 years ago
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Answer:

49.5 square inches

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The formula for a square is l*w. Once we solve we get 25.

To find the area of the shaded region, we would add both area and get 49.5 or 49 1/2 square inches.

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