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elena55 [62]
2 years ago
11

Which is an equation of the line that passes

Mathematics
1 answer:
yan [13]2 years ago
3 0

Answer:

y=1/2x+6

Step-by-step explanation:

Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:

y = 1/2x + b

4 = 1/2(-4) + b

4 = -2 + b

6 = b

b = 6

Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6

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5 because you have to count the numbers in between.

Step-by-step explanation:

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Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩
fgiga [73]
<span>A = {odd numbers between 0 and 100}
</span><span>A = {1, 3, 5, 7,...., 95, 97, 99}

B = </span><span>{numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}

The notation </span><span>A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B

In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}

So that's why 
</span>A ∩ B = <span>{55, 65, 75, 85, 95}
which is the final answer
</span>
6 0
3 years ago
Solve the following system:<br> y=1<br> y=-6x-5
Mandarinka [93]

Answer:

x = -1

y = 1

Step-by-step explanation:

<u><em>Since it gives you "y", plug in the number given into the equation:</em></u>

y = -6x - 5

1 = -6x - 5

<u><em>Then, add 5 to both sides:</em></u>

1 = -6x - 5

+5       + 5

________

6 = -6x

<em><u>Divide both sides by -6:</u></em>

6 = -6x

-1 = x

So now you have, x = -1 and y = 1

4 0
3 years ago
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ratelena [41]

9514 1404 393

Answer:

  $102

Step-by-step explanation:

Dan paid $18 more than $84:

  18 + 84 = 102

Dan paid $102 for his snowboard.

5 0
3 years ago
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