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SOVA2 [1]
2 years ago
13

Write the equation of the line that contains the point (2,1) and is parallel to the line 4x−2y=3

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
8 0

Answer:

y=2x-3

Step-by-step explanation:

4x-2y=3

-2y=3-4x

2y=4x-3

y=4x/2-3/2

y=2x-1.5  m1=2 (the number near x)

If the searched line is parallel to the line 4x−2y=3, m1=m2= 2

y=m2x+b - the searched line

1=2*2+b

b=-3

y=2x-3

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Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
denis-greek [22]

Answer:

Step-by-step explanation:

y + 2 = 12(x - 3)

y + 2 = 12x - 36

y =12x - 38

7 0
3 years ago
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
Find the area of the figure.<br><br> PLS I NEED HELP FAST!
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base + base2 / 2 x h

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2 years ago
Which inequality represents this sentence?
NikAS [45]

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7 0
2 years ago
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brian has 2,000 small building blocks. he decided to share them with his cousin,tia . he gave tia 1/4 of the blocks .how many bl
baherus [9]
First, we need to find 1/4 of 2000 in order to find how many blocks he gave away. To do this, we need to do 1/4*2000 to get 2000/4. This can be simplified to 500 by dividing the numerator and denominator by 4. 

Then, we can do 2000-500 to find that he must have had 1500 blocks left.

Hope this helps.
6 0
2 years ago
Read 2 more answers
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