Line a and line c are parallel lines that are given as a || c. Then the correct option is C.
<h3>How are parallel straight lines related?</h3>
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Then we have
The distance between line a and line c is constant. Then line a and line c are parallel lines.
Line a || line c. Then the correct option is C.
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80,000.
To round up to the nearest ten thousand, we would see if the next lower place value has a amount either 5 or higher or 4 or lower.
If it’s five or higher, we round up.
If it’s four or lower, we round down.
We can see that the number in the ten thousands place is 8. The number in the place value after 8 is 2.
2<5 so we round down.
The answer is 80,000.
Hope this helps!
Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that , or equivalently, and .
If and , we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
?
So,
To find this answer, you would need to use the equation for area of a circle, or in this case, a=3.14x289, since 3.14 is pi and 289 is your radius squared. giving you a final answer of 907.46 feet squared.
Answer: 30 students more voted for Gerardo than for Juju.
Explanation:
<u>so 'x' represent the total number of students</u>
<u />
<u>0.40x of the students voted for Gerardo</u>
<u />
<u>0.35x of the students voted for Leandro</u>
<u />
<u>0.25x of the students voted for Juju</u>
<u />
<u>70 students voted for Leandro:</u>
<u />
<u>0.35x = 70 </u>
<u />
<u>by solving we find:</u>
<u />
<u>x = 200 students</u>
<u />
<u>0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30</u>
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