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SVETLANKA909090 [29]
3 years ago
11

Check all statements that are equivalent to If the sky is not clear, then you don't see the stars ? a. Clear sky is necessary an

d sufficient for seeing the stars. ? b. If the sky is clear, then you see the stars. c. You don't see the stars unless the sky is clear. ? d. Clear sky is necessary to see the stars. e. The sky is clear only if you see the stars. f. Clear sky is sufficient to see the stars. g. If you don't see the stars, then the sky is not clear. h. If you see the stars, then the sky is clear. i. You see the stars only if the sky is clear.
Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0

Answer: The answer is G

Step-by-step explanation:

If you don't see the stars, then the sky is not clear. This statement is equivalent to saying "If the sky is not clear, then you don't see the stars", because if you rearrange both statements you will find out that they are equivalent to each other.

Mark out all the words in each statement, you will discover that at the end you will have no word left on both side, its just as good as saying 1 - 1 = 0.

JulijaS [17]3 years ago
3 0

Answer:

G

Step-by-step explanation:

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Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)
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Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -2x  +10    

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  y = mx + b. Isolate y:

2x + y = 3\\y = -2x + 3

The number in place of m, or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula y = mx + b. In order to write an equation of a line using that formula, we need to substitute values for m and b. We know m is the slope, so we already know what that equals. Now, we just need to find b.

To do that, substitute -2 for m in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate b and find its values:  

y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b

So, b = 10.

3) Substitute values for b and m into the slope-intercept formula to write the slope-intercept form of the line:

y = -2x  +10

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