Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c

Answers

Answer 1

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

Answer 2

The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Equation of a line

The equation of a line in point-slope form is expressed as:

y = y1 = m(x-x1)

Given the following

Slope m = 2

(x1, y1) = (0, 4)

Substitute

y - 4 = 2(x- 0)

y -4 = 2x

y = 2x + 4

Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Learn more on equation of a line here: https://brainly.com/question/18831322


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Step-by-step explanation:

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x=?
please explain how you got the answer

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Answer:

[tex]x \geqslant 12[/tex]

Step-by-step explanation:

[tex]x - 8 \geqslant 4[/tex]

Move the constant to the right-hand side and change its sign

[tex]x \geqslant 4 + 8[/tex]

Add the numbers

[tex]x \geqslant 12[/tex]

Alternate form

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Answer:

Q (2,1)

R(2,5)

S(4,5)

T(8,1)


A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.


A. 5,410
B. 569
C. 52,043
D. 572

Answers

Answer:  B)  569 feet

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

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Would you rather get a 21/50 or a 23/33
Do the math and see where the decimals take you, then answer.

Answers

I would rather get a 23/33

Answer:

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There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The mean number of coins for the boys is 9 Work out the mean number of coins for the girls.

Answers

Answer:

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Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

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Answers

Step-by-step explanation:

Given - The distance between point (2, 2) and point (8, 2) is 6 units on

             a coordinate plane.

To find - Which other pairs of points are also 6 units apart?

Proof -

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Answers

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