A system of equations is given below. y = negative 2 x + one-fourth and y = negative 2 x minus one-fourth

Answers

Answer 1

Question:

A system of equations is given below. [tex]y = -2x + \frac{1}{4}[/tex] and [tex]y = -2x - \frac{1}{4}[/tex].

What is true about both lines?

Answer:

They have the same slope but different y-intercepts, so they have no solution.

Step-by-step explanation:

Given

[tex]y = -2x + \frac{1}{4}[/tex]

[tex]y = -2x - \frac{1}{4}[/tex]

Required

Which is true?

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

For: [tex]y = -2x + \frac{1}{4}[/tex]

[tex]m = -2[/tex]

[tex]b = \frac{1}{4}[/tex]

For [tex]y = -2x - \frac{1}{4}[/tex]

[tex]m = -2[/tex]

[tex]b = -\frac{1}{4}[/tex]

This implies that both equations have the same slope but different y intercept.

When two equations have the same slope but different y intercept; such system of equation has no solution.


Related Questions

I do not know the answer to this question. I need help

Answers

Answer:

(-6,-4)

Step-by-step explanation:

What are the 4-factor pairs of 30?

Answers

Answer:

"Therefore, the factors in pairs which on multiplication gives the original number 30 are (1, 30), (2, 15), (3, 10) and (5, 6)."

Answer:

(1,30) and (2,15) and (3,10) and (5,6).

Step by step explanation:

Break down "30", into how many pairs of numbers you can. List all factors.

How many grams are equal to 400 kg?

Answers

Step-by-step explanation:

1kg=1000g

400kg=400*1000

=400000

Therefore 400kg =400000g

Estimate the product of 78 x 42 = ________. Select the equation that correctly represents how to round each factor.

Answers

Answer:

78=80

42=40

40 x 80= 3200

Step-by-step explanation:

anything above 5 rounds up and anything below 5 rounds down

78 is above 75 so its 80

42 is below 45 so its 40

if you don't answer this responsibly i will flag
Please help.... and explain!
Volunteers are setting up 8 rows of tables in the gym. Each row has 8 tables. Each table has 8 chairs. Write an expression to show how many chairs there will be in the gym.

Answers

Answer:

Step-by-step explanation:

8r(8t/r)(8c/t)=512 chairs

Can someone help me!!!

Answers

The answer is c . Videos hells flash baby

35.625 rounded to the nearest hundredth

Answers

Answer:

35.63

Step-by-step explanation:

If you like to round 35.625 to the nearest hundredth, leaving only two numbers after the decimal point, then you have come to the right post.

An initial investment of $150,000 grows at 22% per year. What function represents the value of the investment after t years?​

Answers

Answer:

150000(1.22)^t

Step-by-step explanation:

A-150000

R- 0.22 plus the 1 since it’s positive y=A(1+r)

Sooo 150000(1+0.22)^t

What is the solution to the system of equations below?
Help

Answers

Answer:

4,5

Step-by-step explanation:

Answer:

4 and 5

Step-by-step explanation:

dismultiplicationcord.gg multiplication

Solve p+3 (show all of the steps) p=7

Answers

Answer:

10

Step-by-step explanation:

7 + 3 = 10

Not really that much to it lol

(a) Jeffrey and Sara were building a sand castle. They decided to make it into a cone shape. After
some time, the diameter of the sand shaped cone was 10 in and the height was 10 in. What is the
exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the
problem
Pls I need this answer ASAP

Answers

Did you know Jack Harlow is nominated for a Grammy!?

Answer: 83.333333[tex]\pi[/tex]  (or 261.79939)

How?: volume = 1/3 x [tex]\pi[/tex] x height

1/2 x [tex]\pi[/tex] x [tex]5^2[/tex] x 10

= 83.333333[tex]\pi[/tex] (or 261.79939)

Find the value of x.
X+2
10
Х
0 10

Answers

TAKE AWAY X SUBTRACT BY 4

The endpoints of a line segment are (4,6) and (-6,2). Point G divides the segment into two equal parts. What are the coordinates of point G? O (-8, 12) 0 (-5,2) O (-2,8) O (-1,4)​

Answers

Answer:

(-1, 4)

Step-by-step explanation:

Given the endpoints of line segments to be (4,6) and (-6,2).

Coordinate of point G is expressed as its midpoint;

M(X, Y) = {x1+x2/2, y1+y2/2}

X = 4-6/2

X = -2/2

X = -1

Y = 6+2/2

Y = 8/2

Y = 4

Hence the coordinate of point G is (-1, 4)

Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day?

Answers

Answer:

they sold 14 pizzas all day.

Step-by-step explanation:

4 x 2 = 8

0.5 means half of what they sold in the afternoon

4 ÷ 2 = 2

now add them both together to get the number of pizzas they sold at night.

8 + 2 = 10

now add the afternoon and night together

10 + 4 = 14

answer: 14 pizzas

CAN YOU GUYS HELP ME PASS THIS PLS

Answers

-4 is the y-intercept so one of you dots would go on -4 on the y axis (which is up and down)
x= the slope so the slope would be 1/1 which means you go up one over one to the right and down one over the the left and the slope would continue going until there is no more space left of the graph.

I hope this made some sense

Gill earned $10 on thursday, $20 on friday, $15 on saturday. What is the most he could have charged for each necklace

Answers

Answer:

$20

Step-by-step explanation:

Gill earned $10 on Thursday

$20 on Friday

$15 on Saturday

Hence the most he could have been charged for each necklace is $20

If p:q=1/3:2 and p:r=3/4:1/2 calculate the ratio p:q:r giving your answer in its simplest form

Answers

p:q = 1/3:2 = 1:6 = 3:18

p:r = 3/4:1/2 = 3:2

p:q:r = 3:18:2

Translate the phrase into an algebraic expression The sum of 7 and c​

Answers

Answer:

7 + c

Hope this helps

section? 14. A boat is crossing the river as shown. To the nearest tenth of a degree, find the angle at which the boat must head upriver in order to travel directly across the river. IN 16 mi/h 4 mi/h S​

Answers

Rule:(sinx = opposite/hypotenuse)

x=sin¹(4/16) *use calculator*

Answer:14.47

[note: we made it sin ‐¹ (inverse)* because we don't have the angle if we and if we have the angle and want to know the side we just use the rule.]

Clarence saved 19% of the money he earned. If he earned $90, how much did Clarence save? Please solve this and dont scam me i really need help

Answers

Answer:

$17.10

Hope this helped!

show ur work too plssss i need help rly bad

Answers

Answer:

-x^2-x-11

Step-by-step explanation:

(x-11)-x(x+2)= x-11-x^2-2x= -x^2-x-11

Will mark you brainliest if i get the correct answer
Choose 4
I need the answer Asap!!
Due soon

Answers

Answer:

Corresponding angles

Alternate interior angles

Alternate exterior angles

Vertical angles

Step-by-step explanation:

-corresponding angles
-alternate interior angles
-alternate exterior angles
-vertical angles

Find the distance between the (10, 9) and (4, 3).

Answers

Step-by-step explanation:

(10, 9), (5 , 4)

Use the distance formula to determine the distance between the two points.

Distance

=√(x2−x1)² +(y2 - y1)²

Substitute the actual values of the points into the distance formula.

√(5−10)² +(4−9)²

Simplify.

5√2

Exact Form:

5√2

Decimal Form:

7.07106781

Hope it will help :)❤

Answer:

Exact form: 6/2

Decimal form: 8.48528137

Step-by-step explanation:

PLZ HELP! Due today!
Picture is there

Answers

Answer:

Step-by-step explanation:

its A in the hint it tell you to look at the outer part which is perimeter

it A right answer :):)

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of 10 inches and height of 5.6 inches. 2 triangular sides have a base of 5 inches and height of 7.1 inches.

Answers

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

Answer:

50, 28, 17.75, 141.5

Step-by-step explanation:

what is 6 3/4 in a number

Answers

Answer:

as an improper fraction it would be  27/4.

Step-by-step explanation:

Paloma averaged a time of 2.3 minutes in each lap of a race. Marissa averaged 2.75 minutes in each lap. There were a total of 4 laps in the race. How many minutes ahead of Marissa did Paloma finish the race?

Answers

Poloma

2m30sec + 2m30sec + 2m30sec = 7m30sec

Marissa

2m75sec + 2m75sec + 2m75sec = 9m45sec

9m45sec - 7m30sec

Answer = 2m15sec

CAN SOMEONE PLZ HELP?!!!

Answers

2 I think I’m not sure but it’s close
The answer is 2!!!! !!!!

Can somebody plz help me with this

Answers

Answer:

15.3??

Step-by-step explanation:

Answer:

u = 1.47

Step-by-step explanation:

221 - 6. 70 = 14. 70

14.70 ÷ 10 = 1. 47

1.47 = u

1.47 per bottle

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the
plane from its starting point?

Answers

Answer:

65 miles

Step-by-step explanation:

using the Pythagorean theorem:

56²+ 33² = d²

d² = 4225

d = 65 miles

The distance of the plane from the starting point will be 65 miles. Distance or the displacement in the given case is found by the phythogorous theorem.

What is the distance?

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

An airplane flies 56 miles due north and then 33 miles due east.

The distance can be found with the help of the phythogorous theorem. The following calculation is done.

[tex]\rm AB^2+BC^2=AC^2 \\\\\rm (56)^2+(33)^2=AC^2 \\\\AC=65 \ miles[/tex]

Hence the distance of the plane from the starting point will be 65 miles.

To learn more about the distance refer to the link;

https://brainly.com/question/26711747

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