(Maths)
Line R has the equation y = 4x + 7
Line P is parallel to line R and intersects the y-axis at (0,-5)
Write down the equation of line P in thee form y=mx+c

Answers

Answer 1

Answer:

y = 4x + -5

Step-by-step explanation:

Answer 2

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

parallel lines have the same gradient so line P's gradient would also be 4

line P's equation is [tex]y=4x+c[/tex] but we don't know the c variable yet, so we just plug in the coordinate values

[tex]-5=4(0)+c[/tex]

[tex]-5=c[/tex]

so line P's equation is [tex]y=4x-5[/tex]


Related Questions

The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
a 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
b 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
c 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
d 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents

Answers

|| ▼ Answer ▼ ||

Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents

|| ✪ Solution ✪ ||

Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:

[tex]4x+89.95=628.35-- > (1)[/tex]

The solution to equation (1) is as follows:

[tex]4x=628.35-89.95=538.4[/tex]

[tex]x=\frac{538.4}{4} =134.6[/tex]

[tex]x=134.6[/tex]

x = $134 and 60 cents

Conclusion: The answer is Option (a).

Hope this helps!

If you have any queries please ask.



Write the prime factorization of 126.

Answers

Answer is attached

Which grade you in btw?

(100 points, Need help with this ASAP) I bought a used grain silo. I am going to use it as a groom's room at our venue. I am going to paint the inside of it to brighten it up a little. I need to decide how many cans of paint to buy. The silo is 15' across and 10' tall to the top of the cylindrical part. The top of the silo looks like a funnel. It is also 15' across. It is 4' tall. The ceiling is the funnel top. A can of paint covers approximately 400 sq ft. How many cans of paint will I need to buy?

Answers

Answer:

2 cans of paint

Step-by-step explanation:

Surface area of an open cylinder = [tex]2\pi rh[/tex]

(where r is the radius and h is the height)

⇒ SA = 2 × [tex]\pi[/tex] × (15 ÷ 2) × 10 = 150[tex]\pi[/tex] ft²

Surface area of an open cone = [tex]\pi r\sqrt{h^2+r^2}[/tex]

(where r is the radius and h is the height)

⇒ SA = [tex]\pi[/tex] × (15 ÷ 2) × √(4² + 7.5²) = 63.75[tex]\pi[/tex] ft²

Total surface area = 150[tex]\pi[/tex] + 63.75[tex]\pi[/tex] = 213.75[tex]\pi[/tex] = 671.52 ft² (nearest hundredth)

If one can of paint covers approx. 400 ft² then 2 cans of paint needed to cover 671.52 ft²

When a number n is decreased by 12 and then the result is multiplied by 3, the product is equal to 21 . Write an equation and solve it to find the value of n .
The equation is , The value is .

Answers

Answer:

Step-by-step explanation:

19-12=7x3=21

16. A can in the shape of a cylinder has a diameter of 6 centimeters
and a height of 10 centimeters, which measurement is closest to
the total surface area of the can in square centimeters?

Answers

Answer:

surface area = 245.04 cm² (nearest tenth)

Step-by-step explanation:

Surface area of a closed cylinder = [tex]2\pi r^2+2\pi rh[/tex]

Given:

diameter = 6 cm ⇒ radius = 3 cmheight = 10 cm

⇒ surface area = 2 × [tex]\pi[/tex] × 3² + 2 × [tex]\pi[/tex] × 3 × 10

                          = 78[tex]\pi[/tex]

                          = 245.04 cm² (nearest tenth)

anu borrows 12,500 as 12% per annum for 3 years at simple interest find the simple interest she has to pay at the end of 3 years​

Answers

Answer:

The interest is 4,500

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = 12,500

r = interest rate = 12% = 0.12

t = time = 3 years

I = Prt

I = 12,500 × 0.12 × 3

I = 4,500

Which of the following best describes the slope of the line below?
A. Zero
B. Undefined
C. Positive
D. Negative

Answers

Answer:

Undefined

Step-by-step explanation:

It is undefined because the x value equals multiple y values so the slope is undefined :)

Have a great day!!

Please rate and mark brainliest!!

Answer: Choice B

Undefined

Reason:

Vertical lines always have undefined slopes.

This is because slope = rise/run, but run = 0 for vertical lines. The "run" describes how much the line moves to the right, but such a thing doesn't happen since it's stuck on one x value only.

So we could have something like slope = rise/run = 1/0 = undefined. Dividing over zero is not allowed.

Study the diagram of circle A, where BC is tangent to circle A at point C. Also, BC=3, BA=5, and AC is a radius.

What is the length of the radius, r?
A: 2
B: 4
C: 2.5
D: 1.5

Answers

Answer:

the answer is B: 4

Step-by-step explanation:

i have no explanation i just finished the test right now.

Answer:

4

Step-by-step explanation:

Took test and got it right

Adam and 3 riends go on holiday together for a week .The costs of the holiday will be shared equally between 4 friends .These are the cost: £1460 for 4 return plane tickets £720 for the accomidation £180 for the car hire for a week . How does adam have to pay for his share of the cost

Answers

Answer:

Adam's share is £590

Step-by-step explanation:

Given

Return Ticket = £1460

Accommodation = £720

Car Hire = £180

Required

Determine Adam's share

First, we need to determine the total cost.

Total = Return Ticket + Accommodation + Car Hire

Total = £1460 + £720 + £180

Total = £2360

Next, is to determine the average.

[tex]Average = Total/4[/tex]

[tex]Average = 2360/4[/tex]

[tex]Average = 590[/tex]

Hence;

Adam's share is £590

(6.72 x 10^9) - (2.01 x 10^9)

Answers

Answer:

the answer I got is 4.71 x 10^9

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

1.5

Step-by-step explanation:

9 times 4 = 36

1.5 times 4 = 6

If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.

What is directly proportional?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

We know that

36 / 9 = 6 /x

Cross multiply;

36 · x = 9 · 6

Simplify;

36x = 54

Divide each side by 36;

36x ÷ 36 = 54 ÷ 36

Simplify;

x = 1.5

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Chris drove his car to the movie theater. The graph below represents Chris's speed over time, from when he left his house to when he arrived at the theater. At which times did Chris most likely stop at a stoplight? A. time = 3 min, time = 10.5 min, time = 12 min B. time = 2 min, time = 11 min C. time = 0 min, time = 21 min D. time = 1.5 min, time = 6 min, time = 14 min

Answers

Answer:

B

Step-by-step explanation:

Stopping at a stoplight means that Chris's speed would be zero on the graph. The times that his speed is zero are times t = 0, t = 2 min, t = 11 min, and t = 21 min. Because the graph shows his speed from the time he left his house (at t = 0) to the time he arrived at the theater (at t = 21 min), the most likely times he stopped at stoplights are times t = 2 min and t = 11 min.

PLEASE HELP ME FRIENDS ​

Answers

Answer:

x=10

Step-by-step explanation:

Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.

5x-10 = 3x+10

add 10 on both sides

5x = 3x + 20

subtract 3x on both sides

2x=20

divide by 2 on both sides

x=10

Answer:

10=x

40 degrees for both

Step-by-step explanation:

3x+10=5x-10

3x+20=5x

20=2x

10=x

3(10)+10=40

5(10)-10=40

Choose the solution(s) of the following system of equations:

x2 + y2 = 6

x2 – y = 6


- no solution

- ( sqrt 6,0)

- ( sqrt 5,0)

- ( sqrt 5, -1)

- infinitely many solutions

- ( -sqrt 6, 0)

- ( -sqrt 5, 1)

- ( -sqrt 5, -1)



THE ANSWER IS


B D F I on edge

Answers

Answer: B D F H

Step-by-step explanation:

- no solution  no

- ( sqrt 6,0)  yes

- ( sqrt 5,0)  no

- ( sqrt 5, -1)  yes

- infinitely many solutions  no

- ( -sqrt 6, 0)  yes

- ( -sqrt 5, 1)  no

- ( -sqrt 5, -1)  yes

Pls help me
AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

( NO LINKS ) at all

Answers

Answer:

20 miles :)

Step-by-step explanation:

Pythagorean theorem formula: 16^2 + 12^2 = c^2

256 + 144 = c^2

400

[tex]\sqrt{400}[/tex] = 20

C = 20

Have an amazing day!!

Please rate and mark brainliest!!

whats the sum of 5 consecutive even numbers is 100​

Answers

Answer:

16

Step-by-step explanation:

I am sure, Thenumber is 16.

Question 6 of 10
What happens to a line when the y-intercept is changed? Check all that apply.
A. As the y-intercept decreases, the graph of the line shifts left.
B. As the y-intercept increases, the graph of the line shifts up.
O c. As the y-intercept decreases, the graph of the line shifts down.
D. As the y-intercept increases, the graph of the line shifts right.
E. As the y-intercept increases, the graph of the line gets steeper.

Answers

B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.

The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.

2^4. 2^5-(2^2)^2
Simplify the expression

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 17.31 WIB (in Indonesian)

_________________________

2⁴ × 2⁵ - (2²)²

= 2⁹ - 2⁴

= 512 - 16

= 496

Can someone help me please

Answers

Answer:

theres four lines of symmetry goes up, side, and both diagonal ways

Step-by-step explanation:

First, rewrite 3/4 and 7/9 so that they have a common denominator.

Answers

Answer:

3/36 and 7/36

Step-by-step explanation:

The new fractions with common denominator are 27/36 and 28/36

What are fractions?

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, rewrite 3/4 and 7/9 so that they have a common denominator.

To make their denominator common, multiply, the first fraction by 9 and second denominator by 4,

Then,

3×9/4×9 = 27/36

7×4/9×4 = 28/36

Hence, the new fractions with common denominator are 27/36 and 28/36

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Imani's rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase
from $825 to 875. Who had the larger percent increase in their rent? Remember to set up your ratios using
the original rent. See Exercise #1 from the lesson if you want to see a similar problem.
Pls send the equation

Answers

Answer:

Imani's rent had a higher percent increase

Step-by-step explanation:

A change from 560 to 600 represents a positive change (increase) of 7.1428571429%

A change from 825 to 875 represents a positive change (increase) of 6.0606060606%

Percent change = New - Old /825 × 100

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 PM

Answers

Answer:

Approximately [tex]58.2\; \text{nautical miles}[/tex] (assuming that the bearing is [tex]{\rm S$29^{\circ}$W}[/tex].)

Step-by-step explanation:

Let [tex]v[/tex] denote the speed of the ship, and let [tex]t[/tex] denote the duration of the trip. The magnitude of the displacement of this ship would be [tex]v\, t[/tex].

Refer to the diagram attached. The direction [tex]{\rm S$29^{\circ}$W}[/tex] means [tex]29^{\circ}[/tex] west of south. Thus, start with the south direction and turn towards west (clockwise) by [tex]29^{\circ}[/tex] to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of [tex]v\, t[/tex]. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly [tex]29^{\circ}[/tex].

Since the hypotenuse is of length [tex]v\, t[/tex], the dashed line segment opposite to the [tex]\theta = 29^{\circ}[/tex] vertex would have a length of:

[tex]\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}[/tex].

Substitute in [tex]\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}[/tex] and [tex]t = 6\; \text{hour}[/tex]:

[tex]\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}[/tex].

What is the relationship between corresponding sequences 2 1 4 2 6 3 8 4 10 5 (GIVING BRAINLIEST)

Answers

Answer: to find the answer you need to

Step-by-step explanation:

Create a table with headings n and an where n denotes the set of consecutive positive integers, and an represents the term corresponding to the positive integers. You may pick only the first five terms of the sequence. For example, tabulate the series 5, 10, 15, 20, 25, . . .

Solve the first common difference of a. Consider the solution as a tree diagram. There are two conditions for this step. This process applies only to sequences whose nature are either linear or quadratic.Condition 1: If the first common difference is a constant, use the linear equation ax + b = 0 in finding the general term of the sequence.

And yeah

A remote-control airplane is descending at a rate of 24.91 meters per second. What will be its change in height after 3 1/2 seconds? Round your answer to the nearest meter.

Answers

Answer:-87

Step-by-step explanation

-24.91 times 3 1/2 equals -87

The change in height after 3 and 1/2 seconds will be 87 meter.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that remote-control airplane is descending at a rate of 24.91 meters per second.

We need to multiply the rate and height will be;

-24.91 x 7/2 = -87 m

Hence, the change in height after 3 and 1/2 seconds will be 87 meter.

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If you place these marbles in a bag close your eyes and choose a marble what is the probability that it will be blue?

Answers

Answer:

6/14

Step-by-step explanation:

There are 14 marbles in total.

Out of the 14 marbles, 6 are blue.

How many millimetres are there in 7.4 centimetres?

Answers

there are 74 millimeters

Answer:

74

Step-by-step explanaction

Formula=multiply the length value by 10

Grace Charges $12 An Hour To Babysit And an Additional $20 for Homework help
Write an Expression that can be used to find the total amount of money Grace makes for an hour

Answers

Heres for the essay like I said a lot of editing and rephrasing but it should work

I got a hundred from my teacher.

Samantha's salary is $54,000 per year. Her car payment totals $3,600 0/ per year. What percent of her salary is spent on car payments? Round to the nearest tenth percent. Be sure to include a % sign.​

Answers

= 3600 / 54000

= 0,06666

x 100

≈ 6,7%

Bashir and his friend are renting I 2 bedroom, 2 bathroom property together. The monthly rent is
4
$1,150.00 and monthly utilities will average $485.00. Bashir will pay 4/5 of the rent since his bedroom is
larger, but they will split the cost of utilities equally. Determine what amount Bashir will pay each
month for rent and utilities

$242.50

$920.00

$817.50

$1,162.50

Answers

Answer:

d. $1162.50

Step-by-step explanation:

485 ÷ 2 = 242.50

1150 = 5/5 (100%)

÷ 5

230 = 1/5 (20%)

× 4

920 = 4/5

920 + 242.5 = $1162.50

Answer is D

$1,150/5=$230

$230*4=$920 which is 4/5 of the rent

$485/2=$242.50 which is half of the utility bill




$920+$242.50= $1,162.50 which is what Bashir will pay in total

Two angles are complementary angles, if ∠A measures 38 ° , What is the measurement of the other angle?

Answers

Answer:

52°

Step-by-step explanation:

complementary angles sum to 90° , then the measure of the other angle is

90° - 38° = 52°

Other Questions
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