Ben says this system of equations has one solution. Is he​ correct? Explain. Choose the correct answer below. A. Ben is correct. Since the equations have the same​ slope, the system has exactly one solution. B. Ben is correct. Since the equations have the same slope and different​ y-intercepts, the system has exactly one solution. C. Ben is incorrect. Since the equations have the same slope and different​ y-intercepts, the system has no solution. D. Ben is incorrect. Since the equations have the same​ slope, the system has infinitely many solutions.

Answers

Answer 1

Answer:

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution

Step-by-step explanation:

From the given options the parameters of the equations are;

The slope of the equations are the same

The y-intercept of the equations are different

Therefore, the lines of the two equations ae parallel and there are no points of intersection of the two equations and therefore no solutions

The best correct option is therefore option C.;

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.


Related Questions

Solve for a side in right triangles

I don’t know how to do this so please someone teach me how to do this?? I need help here!

Answers

Answer:

2.33

Step-by-step explanation:

imagine a circle. its center is A, and it goes through B, so its radius is AB.

then it is important to know that the sum of all the angles in a triangle is 180 degrees.

one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.

more back to our circle.

in this circle the line CB is the sine of the angle at A multiplied by the radius.

and AC is the cosine of the angle at A multiplied by the radius.

we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).

=> CB = sin(A)×AB

AC = cos(A)×AB

=> 5 = sin(65)×AB

=> AB = 5 / sin(65)

=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =

= 5 × cot(65) = 2.33

Since you need to find the side length AC, you already have a 25° angle plus the right angle which indicates it 90°. With that you add them up to get 115°. Since the total of the triangle is 180° you subtract that to get 65°. to check the answer you add the degrees all together to make sure you have a total of 180°. Let me know if you need more clarification

what fraction plus 7/8 = 1

Answers

Answer:

1/8

Step-by-step explanation:

yes

I have an exam helpoo

Answers

See the picture below

HELP ME PLS HURRY!!! (8)

Answers

Answer:

median<mode

Step-by-step explanation:

median is 18

mode is 19

so median<mode

plz mark as brainliest

I NEED HELP!!! 10 POINTS!!! AND BRAINLYIST

Answers

Answer:

GD = 5/2 sqrt 2 = 2½ sqrt 2

EG = 5/2 sqrt 6 = 2½ sqrt 6

Chxjxjdjdjndk sisisis

what is the hcf of 24 and 34​

Answers

Answer:

The highest common factor for 24 and 34 is 2

Answer:

Final Step: Biggest Common Factor Number

The biggest common factor number is the GCF number. So the greatest common factor 24 and 34 is 2.

explanation:

no need hope it helps. C:

#carryonlearning

Yasmin went shopping for a new phone. Sales tax where she lives is 4%. What number should she multiply the price of the phone by to find the total plus tax in one step?

Answers

Answer:

0.04

Step-by-step explanation:

0.04 because if it's a cent before its 10'-100 u put .0 infront of it.

Simplify the radical expression 3√5+6√45

Answers

Answer:

21[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

3[tex]\sqrt{5}[/tex] + 6[tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{5}[/tex] + 6(3[tex]\sqrt{5}[/tex] )

= 3[tex]\sqrt{5}[/tex] + 18[tex]\sqrt{5}[/tex]

= 21[tex]\sqrt{5}[/tex]

Answer:

[tex]21\sqrt{5}[/tex]

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

find the ratio of 2500g to 35kg​

Answers

35kg - 3500g

3500g - 2500g

= 1000g

Answer:

1 : 14

Step-by-step explanation:

The measures must have the same units, that is both g or Kg

2500 g : 35 Kg

= 2500 g : 35000 g ( 1 Kg = 1000 g )

Divide both parts by 100

= 25 : 350 ( divide both parts by 25 )

= 1 : 14

2/18 + 3/6 in it's simplest form​

Answers

Answer:

11/18

Step-by-step explanation:

3/6, aka 1/2 is 9/18 and that plus 2/18 is 11/18

18 - 4x = -2

A. 5
B. -4
C. 4
D. -5​

Answers

Answer:

x=5

Step-by-step explanation:

-4=-2-18

-4=-20

x=5

La respuesta es la (A)

Please help me solve this!

Answers

Well x=4 so the answer is question 3 :)

what is the value of x? 5 60 30 marking brainliest and giving thanks to all!!!

Answers

this is 90 60 30 formula for example

90 meet 2x

30 meet x

and

60 meet x√3

so 90 meet 5

30 meet 5/2=2.5

and 60 meet 2.5√3

so the answer is 2.5

Answer:

2.5

Step-by-step explanation:

[tex]\sin 30\degree = \frac{x}{5}\\\therefore x = 5\sin 30\degree\\\therefore x = 5 \times \frac{1}{2}\\\therefore x = 2.5[/tex]

what is 1/3 of 1/2 THANKS!

Answers

Answer:

1/6

Step-by-step explanation:

Visualizing having one whole pizza.

Mark it into two sections. Each sections the same amount of pizza.

1/3 of 1/2 means take one of the sections called 1/2 of the pizza and mark it into three equal sections.

The other section called 1/2 can also be marked into three equal sections.

That will produce 6 smaller sections of the whole pizza.

Look at the one of the half of the pizza.

One of the three slices of 1/2 of the pizza is 1/3 of 1/2 of the pizza.

Look at the whole pizza. Isn’t the 1/3 of 1/2 = 1/6 of the whole pizza.

1/3(1/2) = 1/6

Answer: 1/6

Step-by-step explanation:


Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft

Answers

No the answer is 15ft

Theresa had her hair cut to a length of 10 inches. If her hair grows at a rate of 0.02 inch per day, which equation represents the length (L) of Theresa’s hair, in inches, after d days?
d=0.2+10Ld is equal to 0 point 2 plus 10 liters

d=10+0.2Ld is equal to 10 plus 0 point 2 liters

L=0.2+10dcap l is equal to 0 point 2 plus 10 d

L=10+0.2dcap l is equal to 10 plus 0 point 2 d

Answers

Answer:

L = 0.02d + 10

Step-by-step explanation:

The hair starts at 10 inches long.

L = 10

Now we add 0.02 inches in length per day.

In 1 day, it grows 0.02 inches.

In 2 days, it grows 0.02 * 2 inches.

In d days, it grows 0.02d inches.

Now we add the starting length, 10, and the growth per day, 0.02d, to get:

L = 0.02d + 10

John and George together raked g of the yard. John 7. raked of that amount. What part of the yard did John rake?

Answers

Answer:

7/32

Step-by-step explanation:

John and George together raked 7/8 of the yard. John raked 3/4 of that amount. What part of the yard did john rake?

Proportion of the yard Jake raked = 7/8 x 3/4 = 21/32

Portion of the yard Jake raked = 21/32 - 7/8 = 7/32

What is the surface area of the square pyramid below?

A. 25 square inches
B. 65 square inches
C. 85 square inches
D. 105 square inches

Answers

Answer:

B. 65 sq. inches

Step-by-step explanation:

(5×5)+(4×½×5×4)

= 25+40

= 65 sq. inches

Which statement accurately describes the scatterplot?
A. The points seem to be clustered around a curve.
B. There are three distinct clusters.
C. There is one outlier.
D. There are two outliers.

Answers

Answer:

A

Step-by-step explanation:

The points seem to be clustered around a curve.

A I’m pretty sure yeah

I NEED HELP ASAP PLEASEEEEE IM ALREADY FAILING THIS CLASS AND I NEED HELP ASAP

Answers

Answer:

I think that it would be 100^(0.085)

Sonia rolls a six-sided number cube 12 times and records if she rolls a 2. What is the number of trail for this binomial experiment

Answers

Sonia rolls it 12 times, so there's 12 trials.

Step-by-step explanation:

hope this helps ya :)

Answer: just go w C i dunno

Step-by-step explanation:

What is the image of the point (2,-3) after a rotation of 90 ∘ counterclockwise about the origin?

Answers

Answer:

(2,-3) changes to (3,2)

A is correct.

Step-by-step explanation:

Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.

Rotation is counterclockwise about origin.

We are given coordinate

We can see in diagram also. Please see the attachment for rotation.

Hence, (2,-3) changes to (3,2

Trisha's favourite song is 2 1/2 minutes. There is a drum solo that begins one third of the way into the song and last for 24 seconds. How many seconds does the drum solo end

Answers

Answer:

74 seconds or1 minute 14 seconds

Step-by-step explanation:

The drum solo begins a third of the way into the song which lasts 2.5 minutes.

The drum solo therefore starts at:

= 2.5 * 1/3

= 0.83 minutes

Translate that to seconds by multiplying by 60:

= 0.83 * 60

= 50 seconds

Solo begins at 50 seconds in and lasts for 24 seconds:

= 50 + 24

= 74 seconds or

= 1 minute 14 seconds

Find the change in temperat
(1 Point)
from - 13°C to 15'c

Answers

Answer:

The change in temperature is 28°C

Step-by-step explanation:

What number makes the equation true?
24 =[ ] x 6

Answers

The answer is 4 .

Step-by-step explanation:

6 x 4 is 24

Answer: 4

Step-by-step explanation:

6 times 4 equals 24 and to make sure you know that's correct you can divide 24  and 6, and that equals 4 so you know that's your answer.

Hope This Helps!

The rule for a pattern is ''take half the number to get the next number.'' the first number in the pattern is 16 what is the next number?

Answers

Answer:

8

Step-by-step explanation:

Let the next number be x

'taking half the number to get the next number. is expressed as;

1/2 of 16 = x

x = 1/2 *16

x = 16/2

x = 8

hence the next number will be 8

Which number can be inserted in the box to make the equation below true?

Answers

Answer:

A. 5

Step-by-step explanation:

HELP ME PLS!!!!
Which statement correctly compares the values in the statement?

|-0.073| □ |0.73|

O 0.073 < 0.73
O 0.073 < -0.73
O 0.073 > 0.73
O 0.073 = 0.73

Answers

Answer:

the first option : 0.073< 0.73

Step-by-step explanation:

the first option : 0.073< 0.73

Answer:

O 0.073 < 0.73

Step-by-step explanation:

Definition of  greater then and less then

The greater than and less than symbols indicate a difference between two values. The symbol for greater than is " > ", and the symbol for less than is " <",

The value, O 0.073 is lesser then 0.73

hence,0.73 is the correct option

To know more about greater then here.

https://brainly.com/question/11418015

#SPJ2

i need help with finding out both of the answers to these questions.

Answers

Answer:

6). unknown side is 6.23m

7). angle is 26.58 degrees

Step-by-step explanation:

you must use the Pythagoras theorem formula to find the unknown side if you have only two sides

what he said is correct ^^

The high temperatures for the week were 87, 82, 100, 83, and 88. What is the mean of the temperatures without the outlier

Answers

The outliers 100, so we won't include that in the calculation as requested by the question.

Mean is average. Average is calculated by adding quantities together and then dividing the total by the number of quantities.

(87 + 82 + 83 + 88)/4 = 85

Hope this helps!
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