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kykrilka [37]
3 years ago
15

3.3.C-1

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0
Reduce the fraction into decimal numbers
Simply divide the top by the bottom of the fraction. If the division has no remainder, the decimal number is called a terminating decimal.
Now start the division process as below


Therefore,
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What is an equation of the line that is perpendicular to -x+2y=4 and passes through the point (-2, 1)
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Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

x + 2y = 4

2y = - x + 4

y = -x/2 + 4/2

y = - x/2 + 2

Comparing with the slope intercept form, slope = - 1/2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (- 2, 1) is 2

To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes

1 = 2 × - 2 + c = - 4 + c

c = 1 + 4 = 5

The equation becomes

y = 2x + 5

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