How many lines pass through two points? A. infinite, №18011133, 11.11.2021 04:31

Mathematics

How many lines pass through two points? A. infinite B. 1 C. zero D. 2

Step-by-step answer

P Answered by Specialist

1

Step-by-step explanation:

Only 1 line can pass through two points.

How many lines pass
through two points?
A. infinite
B. 1
C. zero
D. 2

Mathematics

Question 1(multiple choice worth 5 points) (8.01 lc) two lines, a and b, are represented by the equations given below: line a: x + y = 2 line b: 2x + y = 4 which statement is true about the solution to the set of equations? there are infinitely many solutions. there are two solutions. there is one solution. there is no solution. question 7(multiple choice worth 5 points) (8.02 mc) which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)? a coordinate grid is shown from negative 8 to positive 8 on

Step-by-step answer

P Answered by Master

9

Question 1:

Substitution.

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

There is one solution

Question 7 is too confusing, just find where the points intersect at (-5,2).

Question 9:

Elimination.

(-1)y=2x+6

y=2x+2

New: -y=-2x-6

0=-4

No Solution

Question 11:

Just look at explanations.

It's (5,17) both lines etc..

Mathematics

Question 1(multiple choice worth 5 points) (8.01 lc) two lines, a and b, are represented by the equations given below: line a: x + y = 2 line b: 2x + y = 4 which statement is true about the solution to the set of equations? there are infinitely many solutions. there are two solutions. there is one solution. there is no solution. question 7(multiple choice worth 5 points) (8.02 mc) which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)? a coordinate grid is shown from negative 8 to positive 8 on

Step-by-step answer

P Answered by Specialist

9

Question 1:

Substitution.

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

There is one solution

Question 7 is too confusing, just find where the points intersect at (-5,2).

Question 9:

Elimination.

(-1)y=2x+6

y=2x+2

New: -y=-2x-6

0=-4

No Solution

Question 11:

Just look at explanations.

It's (5,17) both lines etc..

Mathematics

question one. which set of points are collinear? select each correct answer. a. p, h, and a b. h, a, and s c. h, d, and s d. y, d, and t question two. which statement is true about the line passing through points a and b? a. the line has infinite length in one direction. b. there are only two points on the entire line. c. the line has infinitely many points. d. the line has a finite length that can be measured. question three. which names are correct for pm? select each correct answer. a. mp b. pt c. py d. tm

Step-by-step answer

P Answered by Master

6

For k12 this was the answer

Step-by-step explanation:

question one. which set of points are collinear? select each correct answer. a. p, h, and a b. h,

Mathematics

1. which data set represents an increasing, linear function? (1 point) a. (1,-,,,7) b. (1,1) (2,0), (3,-1), (4,-2) c.(1,-,,11) (7, 18) d.(1, 17), (2,15), (3,11), (4, 3) 2.which function s graph passes through the points (1, 4), (2, 9) and (3, 16) a. y = 5x + 4 b. y = (x + 1) mini 2 on the end c. y = (x + 3) mini 2 on the end d. y = 7x - 5 3. suppose that after one warm-up lap around a track, you run 10 laps an hour. what is an equation that represents the total numver of laps you ve run, y in terms of the number of the hours you run, t? a. y(t)

Step-by-step answer

P Answered by PhD

63

#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.

#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

Add 5 to both sides:
6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.

#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.

#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.

Mathematics

question one. which set of points are collinear? select each correct answer. a. p, h, and a b. h, a, and s c. h, d, and s d. y, d, and t question two. which statement is true about the line passing through points a and b? a. the line has infinite length in one direction. b. there are only two points on the entire line. c. the line has infinitely many points. d. the line has a finite length that can be measured. question three. which names are correct for pm? select each correct answer. a. mp b. pt c. py d. tm

Step-by-step answer

P Answered by Specialist

6

For k12 this was the answer

Step-by-step explanation:

Mathematics

Two lines, a and b, are represented by the following equations: line a: y = x − 1 line b: y = −3x + 11 which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point question 4(multiple choice worth 4 points) (08.01) line h is represented by the following equation: 2x + 2y = 8 what is most likely the equation

Step-by-step answer

P Answered by PhD

8

Part 1. (3, 2), because both lines pass through this point.

Part 2. x + y = 4

Part 3. 2x − y = 26

Step-by-step explanation:

Part 1.

The given system of equations are

y=x-1

y=-3x+11

Substitute the value of from one equation to another.

x-1=-3x+11

x+3x=1+11

4x=12

Divide both sides by 4.

x=3

The value of x is 3. Put this value in the given equation to find the value of y.

y=3-1=2

The value of y is 2. Both the equations satisfy by the point (2,3) it means the both lines pass through this point.

Therefore (3, 2) is the solution, because both lines pass through this point.

Part 2.

The given equation is

2x+2y=8

The set of equations has infinitely many solutions if both lines coincide each other.

Taking out the common factors.

2(x+y)=8

Divide both sides by 2.

x+y=4

The line x+y=4 is equivalent to 2x+2y=8 . It means both line coincide each other and have infinitely many solutions.

Therefore the required equation of line is x + y = 4.

Part 3.

The one equation of the system of equations is

x-y=8

The solution of the system of equation is (18,10). It means both the equation are satisfied by the point (18,10).

Put x=18 and y=10 in each option.

LHS=2x-y=2(18)-10=26=RHS

$LHS=x+y=18+10=28\neq RHS$

$LHS=2x-2y=2(18)-2(10)=16\neq RHS$

$LHS=x-y=18-10=8\neq RHS$

Therefore the required equation is 2x-y=26.

Mathematics

Two lines, a and b, are represented by the following equations: line a: y = x − 1 line b: y = −3x + 11 which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point question 4(multiple choice worth 4 points) (08.01) line h is represented by the following equation: 2x + 2y = 8 what is most likely the equation

Step-by-step answer

P Answered by Specialist

5

The answer for the first one is (3,2) because both lines pass through this point. :)

Mathematics

Two lines, a and b, are represented by the following equations: line a: y = x − 1 line b: y = −3x + 11 which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point question 4(multiple choice worth 4 points) (08.01) line h is represented by the following equation: 2x + 2y = 8 what is most likely the equation

Step-by-step answer

P Answered by PhD

8

Part 1. (3, 2), because both lines pass through this point.

Part 2. x + y = 4

Part 3. 2x − y = 26

Step-by-step explanation:

Part 1.

The given system of equations are

y=x-1

y=-3x+11

Substitute the value of from one equation to another.

x-1=-3x+11

x+3x=1+11

4x=12

Divide both sides by 4.

x=3

The value of x is 3. Put this value in the given equation to find the value of y.

y=3-1=2

The value of y is 2. Both the equations satisfy by the point (2,3) it means the both lines pass through this point.

Therefore (3, 2) is the solution, because both lines pass through this point.

Part 2.

The given equation is

2x+2y=8

The set of equations has infinitely many solutions if both lines coincide each other.

Taking out the common factors.

2(x+y)=8

Divide both sides by 2.

x+y=4

The line x+y=4 is equivalent to 2x+2y=8 . It means both line coincide each other and have infinitely many solutions.

Therefore the required equation of line is x + y = 4.

Part 3.

The one equation of the system of equations is

x-y=8

The solution of the system of equation is (18,10). It means both the equation are satisfied by the point (18,10).

Put x=18 and y=10 in each option.

LHS=2x-y=2(18)-10=26=RHS

$LHS=x+y=18+10=28\neq RHS$

$LHS=2x-2y=2(18)-2(10)=16\neq RHS$

$LHS=x-y=18-10=8\neq RHS$

Therefore the required equation is 2x-y=26.

Mathematics

1. which data set represents an increasing, linear function? (1 point) a. (1,-,,,7) b. (1,1) (2,0), (3,-1), (4,-2) c.(1,-,,11) (7, 18) d.(1, 17), (2,15), (3,11), (4, 3) 2.which function s graph passes through the points (1, 4), (2, 9) and (3, 16) a. y = 5x + 4 b. y = (x + 1) mini 2 on the end c. y = (x + 3) mini 2 on the end d. y = 7x - 5 3. suppose that after one warm-up lap around a track, you run 10 laps an hour. what is an equation that represents the total numver of laps you ve run, y in terms of the number of the hours you run, t? a. y(t)

Step-by-step answer

P Answered by PhD

63

#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.

#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

Add 5 to both sides:
6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.

#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.

#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.

How many lines pass
through two points?
A. infinite
B. 1
C. zero
D. 2

Step-by-step answer

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