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viktelen [127]
3 years ago
14

Find the equation of the line shown.

Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

y = -x + 9

Step-by-step explanation:

✔️Find the slope using (9, 0) and (7, 2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1

Slope (m) = -1

✔️Find the y-intercept (b):

The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9

✔️Substitute m = -1 and b = 9 into y = mx + b

Thus,

y = -1(x) + 9

y = -x + 9

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There are 1,000 grams in a kilogram. how would you convert 600 kilograms into grams?
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Read 2 more answers
What is the number of subsets of S= {1, 2, 3…10} that contain five element include 3 or 4 but not both?
Ivenika [448]

Answer:

140

Step-by-step explanation:

To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.

First, let's count the number of subsets that contain the element 3.

Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is {}_8C_4=70.

Now, let's count the number of subsets that contain the element 4.

4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in {}_8C_4=70 ways.

We conclude that there are 70+70=140 required subsets of S.

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3 years ago
5. How many even positive integers less than 600 can be written using
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Answer:

The answer to this question is: 44.

Step-by-step explanation:

The even numbers that we can form with the numbers 2,4,5 and 8 are:

2, 4, 8, 22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88, 222, 224, 228, 242, 244, 248, 252, 254, 258, 282, 284, 288, 422, 424, 428, 442, 444, 448, 482, 484, 488, 522, 524, 528, 542, 544 and 582, 584, 588.

5 0
3 years ago
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