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just olya [345]
2 years ago
9

Parallel to y - 2x = 4 and passes through (0,5)

Mathematics
1 answer:
wolverine [178]2 years ago
4 0

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

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Contact [7]

Answer:

4) Alternate  Interior angles 5) Parallel lines property.

Step-by-step explanation:

The question is asking us to Complete the statements to prove that line AB ⩭ to line CD and line BC ⩭ to line AD.

In statement 4 .∠CAB is congruent to ∠ACD as AB is parallel to CD  and ∠BCA  is congruent to∠CAD as AD is parallel to BC  and these are Alternate interior angles to the parallel lines .

In statement 5.m∠CAB =∠ACD and ∠BCA = ∠CAD as by property of parallel lines Alternate interior angles are equal.

6 0
3 years ago
Read 2 more answers
3x+2y=-15 2x=-18 elimination
Sergeeva-Olga [200]

Answer: (-9,6)


Step-by-step explanation:

3x+2y=-15

2x=-18

First solve for x in second equation

2x=-18

2x/2=-18/2

X= -9

Now substitute your x into first equation to find y

3(-9)+2y= -15

-27+2y=-15

2y= -15+27

2y= 12

2y/2=12/2

Y= 6

5 0
2 years ago
Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da
Art [367]

Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:

210 / 30 = 7


It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:

(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits




Hope it helped,



Happy homework/ study exam!




7 0
3 years ago
Read 2 more answers
Which of the following best describes the expression 4(y + 6)? (2 points)
meriva

I need the following...

4y+24 would be the answer

--v---v

4(y+6) ... To get rid of parenthesis, simply multiply 4 by y, and 4 by 6.

4y+24 is the answer.

3 0
3 years ago
Find the distance between the points (6,-4) and (0,5)
IrinaK [193]

Answer:

d = 10.8167

Step-by-step explanation:

The distance between two points can be easily found by using the following expression

d = √((x1-x2)^2 + (y1-y2)^2)

where

(x1,y1) = (6,-4)

(x2,y2) = (0,5)

d = √((6-0)^2 + (-4-5)^2)

d = √(36 + 81)

d = √(117)

d = 10.8167

4 0
2 years ago
Read 2 more answers
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