In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation

Answers

Answer 1

Answer:

Please see explanation

Step-by-step explanation:

A system of linear equations in two variables represents two lines on graph.

When both the lines have same slope, there can be two cases

Same slope with different y-intercepts

When two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.

Same slope with same y-intercepts

When the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.


Related Questions

Colin gets £x wages each week. After he pays his tax of £t, he
then pays his rent of £120. He shares what's left between
himself and his wife. How much do they each get?

Answers

Answer:

They will each get ;

(x-t)/2 - 60

Step-by-step explanation:

Here, we want to know the amount of money that Colin and his wife gets

we start by subtracting the necessary terms

Mathematically, that would be;

x-t-120

So what each of them get will be;

(x-t-120)/2

= (x-t)/2 - 60

Help me plz!
9ubiesnfhduryinwiwybv

Answers

Answer:

-8

Step-by-step explanation:

10 -2b^2

Let b=-3

10 - 2( -3)^2

Do the exponent first

10 -2(9)

Multiply

10 -18

Subtract

-8

Answer:

- 8

Step-by-step explanation:

Given

10 - 2b² ← substitute b = - 3 into the expression

= 10 - 2(- 3)²

= 10 - 2(9)

= 10 - 18

= - 8

In which of the following sets can each
number only be classified as rational?
A {0, - 18 , 124, -3, 3)
B {3.5, -4, 23.8, -1.2, 0}
C {-5, 13, 233, 42,3)
D {-7.75, -5.8, 0.125, 4, 21}

Answers

The answer to the question is A

Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due

Answers

Answer:

99.12 lbs are in 45 kilograms.

Step-by-step explanation:

❃We can solve using proportion.

[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]

➼ I rounded to the nearest hundredth

Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?

Answers

Answer:

35

Step-by-step explanation:

E  = M - 12

M = 6 + I

I = P x 2

P = 5

I = 10

M = 16

E = 4

Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3

Answers

Answer: No

Step-by-step explanation:

3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.

Hope that helped!

10x^2 y –5xy^2–2x^2 y +x^2y –3xy^2

Answers

Answer:

[tex]9x^{2}y - 8xy^{2}[/tex]

Step-by-step explanation:

[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation

[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms

[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify

Hope this helped! <3

Complete the following statement.
p(x)=x^(2)+7x+3
If is divided by x+4, the remainder is

Answers

Answer:

x + 3 with the remainder of -9

Step-by-step explanation:

       ___x__+__3_____

x + 4 | X^2 + 7x + 3

          - (x^2 + 4x)

                       3x + 3

                      -(3x + 12)

                                -9

So the answer is x + 3 with the remainder of -9

Mary pays $72 for sand. If the cost per pound is $0.45, how many pounds did she purchase?

Answers

Answer:

Mary purchased 160 pounds of sand

Step-by-step explanation:

$72÷$0.45=160

Make this brainiest if you felt this helped you the most have an awesome day or night!


x + 3y = 18
-X - 4y = -25

Answers

-y=-7
Y=7
-x-4(-7)=-25
-x+28=-25
-x=3
X=-3

Answer:

x = -3

y= 7

Step-by-step explanation:

x + 3y=18 ----(1)

-x - 4y=-25 -----(2)

from equation (1)

x = 18 - 3y ---(3)

putting equation (3) into equation (2)

-(18 - 3y) - 4y = -25

18 + 3y -4y = -25

3y - 4y = -25 - 18

-y = -7

y = 7 ✓

Putting y=7 into equation (1)

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3 ✓

Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30

Answers

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Step-by-step explanation:

Which fraction is equivalent to 2/8??

Answers

The answer to that is 1/4

PLEASE HELP I NEED DONE BY 3 10!!!!!! NUMBER 7

Answers

Answer:

115

Step-by-step explanation:

Answer:

there are 120 animals

Step-by-step explanation:

if cows are 40%, then "not cows" is 60%

so 72 animals 60% of all the animals on the farm

60% of 120 is 72

Simplify

Topic : Indices​

Answers

Answer:

[tex] {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ {m}^{3} } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ { {m}^{ \frac{3}{2} } } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{9 + 4}{2 \times 3} }}{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{13}{6} }}{ {m}^{ \frac{1}{6} } } \\ \\ = {m}^{ \frac{13}{6} - \frac{1}{6} } \\ \\ = {m}^{ \frac{12}{6} } \\ \\ = {m}^{2} [/tex]

How do you write 872.8% as a decimal?

Answers

Answer:

.82

Step-by-step explanation:

Answer:

8.728

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.

What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.

Answers

Answer:

i mean might as well get free points now that its 2 weeks old

Step-by-step explanation:

Answer:

Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.

Width = A

Length = B

Diagonal = C

so: a2+b2=c

2502+1002=c2

2500+10000=c2

12500=c2

c=√12500

c=111.80 yards

Step-by-step explanation:

the ambitous jackle

What is the slope of the line that passes through the points
(

4
,

3
)
(−4,−3) and
(
14
,
0
)
?
(14,0)? Write your answer in simplest form.

Answers

Answer

y= 1/6x -2.3

Step-by-step explanation:

hope this helps :)

The slope of the line passing through (-4, -3) and (14, 0) is 1/6.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line passing through (-4, -3) and (14, 0) is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}[/tex]

The slope of the line passing through (-4, -3) and (14, 0) is 1/6

Find out more at: https://brainly.com/question/13911928

will mark brainliest! in kite UVWX, m

Answers

Answer:

52

Step-by-step explanation:

1) Find
dy/dx
given y^2= x

Answers

dy/dy^2

we can cancel out the variable “d” by simply dividing. after we do so, we are left with y/y^2. when dividing variables with exponents, you subtract the exponent from the denominator’s variable from the exponent in the numerators variable.

for example, since we have just “y” as the numerator, we can think of it as “y^1”
so, y^1/y^2
y^1-1=y^0
we are left with y^0 or 1, over y^1 or y. think of this as 1/y

20 points !!!!!
Which of the following is a counterexample for the hypothesis "All parallelograms are rectangles"?

Answers

Answer:

The answer would be B

Step-by-step explanation:

A non-square rhombus. A non-square rhombus (also known as a rhombus) is different from a square with respect to its internal angles. Unlike a square, a non-square rhombus does not have all its internal angles equal to 90°. The number of lines of symmetry in a non-square rhombus is 2, whereas, a square has 4 lines of symmetry.

The required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles" which is the correct answer would be option (B).

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

A rhombus that isn't square. In terms of internal angles, a non-square rhombus (also known as a rhombus) differs from a square. A non-square rhombus, unlike a square, does not have all of its internal angles equal to 90°. A non-square rhombus has two lines of symmetry, whereas a square has four lines of symmetry.

Therefore, the required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles"

Hence, the correct answer would be an option (B).

To learn more about the hypothesis here:

https://brainly.com/question/18064632

#SPJ6

How many times should you multiply 15 to equal 60 seconds PLEASE HELP!

Answers

Answer:

4 times 15 = 60 answer 4

Step-by-step explanation:

4 times

15+15+15+15=60

Write the expression-
The quotient of x and 8

Answers

Answer:

x ÷ 8

Step-by-step explanation:

The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?

Answers

Answer:

12n

Step-by-step explanation:

∠ABC is twice the value of 6n°

Given that, 1 Turkish lira = £0.17, convert £312 into Turkish lira. Give your answer to the nearest lira.

Answers

Answer:

£53

Step-by-step explanation:

According to the scenario, the computation of the given data are as follows,

1 turkish Lira = £0.17

Now convert £312 into turkish lira

So it can be calculated below:

= £0.17 × £312

= £53.04

After converting into turkish lira, it is £53

Water forms______
when it is cold.

Answers

the answer is SNOW have a great day :)

Answer:

As a Solid

Step-by-step explanation:

Examples

river icesea icehail

Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh

Answers

Answer: The answer is 2

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

(-3,-2)

Step-by-step explanation:

If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.

Part A:
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*

Part B: Find the slope of the line from the graph above. *Don't forget to simplify!*

Answers

Answer:

Option D

Step-by-step explanation:

A). From the graph attached,

    Arrow AB represents the RISE and arrow BC represents the RUN.

B). RUN from point A to B (Horizontal distance) = 2 units

    Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]

    Slope of the line segment AB = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                       = [tex]\frac{-4}{2}[/tex]

                                                       = -2

   Therefore, slope of the line = slope of the line segment AB = -2

    Option D will be the correct option.

SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER

Answers

X=1
F(x) = 2
I am pretty sure I hope this helps

7th grade math please help

Answers

Answer:

3.8 x 4.5

+

3.8 x 5.1 divided by 2!

Step-by-step explanation:

You can turn it into 2 squares, or follow the hints!

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