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3 years ago

Which equation represents a line which is perpendicular to the line 2x + y = -5?

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

Step-by-step explanation:

Given expression;

2x + y = -5;

The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

2x + y = -5

Equation of a straight line is generally written as;

y = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

2x + y = -5

y = -2x -5

The slope of the perpendicular = $\frac{1}{2}$

So,

the new line;

y = $\frac{1}{2}$ x -5

Any line with slope of $\frac{1}{2}$ will be perpendicular

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PLEASE I NEED HELP ASAP

Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0

2 years ago

Mr. McGloughlin’s horses eat a total of 19 liters 2 deciliters of rolled oats, and drink a total of 46 liters 4 deciliters of wa

Hunter-Best [27]

Answer:

459.2 liters.

Step-by-step explanation:

Let us convert our given amount of rolled oats and water in deciliters.

1 liter = 10 deciliters

19 liters = 19*10 deciliters = 190 deciliters.

$\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}$

$\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}$

46 liters=46*10=460 deciliters

$\text{Total amount of water consumed per day}=(460+4)\text{ deciliters}$

$\text{Total amount of water consumed per day}=464\text{ deciliters}$

Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.

$\text{Total weekly consumption of oats and water}=7*(464+192)\text{ deciliters}$

$\text{Total weekly consumption of oats and water}=7*(656)\text{ deciliters}$

$\text{Total weekly consumption of oats and water}=4592\text{ deciliters}$

Let us convert weekly consumption of water and oats into liters.

$\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10\frac{\text{ deciliters}}{\text{liter}}}$

$\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}$

$\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}$

$\text{Total weekly consumption of oats and water}=459.2\text{ liters}$

Therefore, total weekly combined consumption of oats and water is 459.2 liters.

5 0

3 years ago

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ILL MARK BAINLIEST HELP TTTTTTTTTREEEEEEEEEEEEEEEEEEEE

Liula [17]

Answer:

Yes

Step-by-step explanation:

4 0

3 years ago

-3/8 (-6-2y) = 1/2 (2y - 3) -1°<br>solve it

jek_recluse [69]

Answer:

y= -10/89

Step-by-step explanation:

89y=-10

89y/89 = -10/89

y= - 10/89

3 0

3 years ago

Theo made a donation to a charity. His grandfather agreed to add $4.00 to Theo's donation amount and then donate half of that su

miss Akunina [59]

So you have to solve for "donation" - so let's call that X. And the things we know are what the grandfather donated, as a function - meaning based upon - Theo's donation. We'll call that Y.

So Y is equal to 1/2 of $4 plus Theo's donation...... 0.5*(x+4).

So... 4.25 = 0.5(X+4), solving for X

4.25=0.5x + 2

-2 -2

2.25=0.5x - divide each side by 0.5 to get x alone.

x = 4.50

Plugging back in:

(4.50 + 4.00)*0.5 = 4.25!

8 0

4 years ago

Read 2 more answers