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Reil [10]
3 years ago
15

Which two lines must be parallel in the diagram?

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer: j || k

Step-by-step explanation:

only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line <em>l.</em>

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According to the distributive property, a(5 + b) = A) 5a + b Eliminate B) 5a + ab C) a (b + 5) D) 5 (a + b)
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A(b+c)=ab+ac
a(5+b)=a(5)+a(b)=5a+ab


B is answer
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16 and 17 please I don’t know if it’s the distance formula
Trava [24]

Answer:

#16 = (0, -10)

#17 = (-18, -3)

Step-by-step explanation:

U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).

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Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

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Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

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