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NikAS [45]
3 years ago
7

Which line is parallel to a line that had a slope of 3 and a y intercept at (0,0)

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

y = 3x

Step-by-step explanation:

• Parallel lines have equal slopes.

The equation of a line passing through the origin (0, 0) is

y = mx ( m is the slope )

here m = 3, hence

y = 3x ← equation of parallel line


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The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

From the problem statement, we can create the following equation:

J + P + D = 120

where J is the age of James, P is the age of Paul, and D is the age of Dan.

From the first part of the second sentence, we can set up the following equation:

J = 3D

From the last part of the second sentence, we can set up the following equation:

P = 2(J + D)

We can substitute the second equation into the last one to get the following:

P = 2(3D + D)

P = 2(4D)

P = 8D

We can then substitute the last two equations in the first to solve for D:

3D + 8D + D = 120

12D = 120

D = 10

Plugging this into the other two equations will give us the remaining ages:

P = 8D

P = 8(10)

P = 80

J = 3D

J = 3(10)

J = 30

8 0
3 years ago
Solve the system. <br> 3x+2y=-2 6x-Y=-6
Ipatiy [6.2K]
So we assume that x=x and y=y is true for both situations so

3x+2y=-2
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6x-y=6
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subtract 6 from both sides
6x-6=y
subsitute (6x-6) for y in first equation
3x+2(6x-6)=-2
distribute
3x+12x-12=-2
add like terms
15x-12=-2
add 12 to both sides
15x=10
divide both sides by 15
x=2/3
subsitute
3x+2y=-2
3(2/3)+2y=-2
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2+2y=-2
subtract 2 from both sides
2y=-4
divide both sides by 2
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solution in (x,y) form
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3 years ago
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dybincka [34]

Answer: 1.25 hours

Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.

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4 years ago
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
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The answer is 81.74 meters
5 0
3 years ago
Which statement is not true
Ede4ka [16]
Answer is D

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