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3 years ago

The equation of line l is -3y+4x=9. Write the equation of a line that is parallel to line l and passes through the point (-12,6)

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line I is

-3y + 4x = 9

3y = 4x - 9

y = 4x/3 - 3

Comparing with the slope intercept form, slope = 4/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (- 12, 6) is - 3/4

To determine the y intercept, we would substitute m = - 3/4, x = - 12 and y = 6 into y = mx + c. It becomes

6 = - 3/4 × - 12 + c

6 = 9 + c

c = 6 - 9

c = - 3

The equation becomes

y = -3x/4 - 3

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‘write an equation of the line that passes through each pair of points’ (1,2) and (4,8)

Levart [38]

<u><em>Hi there! </em></u>

Step-by-step explanation:

$Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{8-2}{4-1}=\frac{6}{3}=2$

<em><u>So therefore, the slope is 2.</u></em>

<em><u>Final answer is 2.</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

I hope this helps you!

Have a nice day! :)

-Charlie

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3 years ago

Expanded form.2(b + c) *

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

2b + 2c

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3 years ago

Read 2 more answers

Professor Vinculum investigated the migration season of the Bulbul bird from their natural wetlands to a warmer climate. He foun

coldgirl [10]

The population of the Bulbul birds at the start of the migration season is 1800.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Let P be the population of the bird t days since the start of the migration season.

$P=1350+400(1.25)^{-t}\\\\At\ the\ start\ of\ the\ season(t=0):\\\\P=1350+400(1.25)^{-0}\\\\P=1350+450=1800$

The population of the Bulbul birds at the start of the migration season is 1800.

Find out more on Exponential function at: brainly.com/question/12940982

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2 years ago

64 POINTS

sveticcg [70]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 ( $\pi$ r^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle = $\pi d$

The length of the rectangle would be the height of the cylinder

We can use this:

$(\pi d * h) + 2(\pi r^2)$

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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↬ ʜᴀɴɴᴀʜ ♡

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2 years ago

Use substitution to solve the<br> following system of equations.<br> 2x + 4y = 12 AND x=y - 3

Kamila [148]

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

8 0

3 years ago