What is the equation of the line that is parallel to the line 5X+2Y= 12 and passage to the point -2, 4

Answers

Answer 1

Answer:

Step-by-step explanation:

To determine the equation of the line parallel to $5x + 2y = 12$ , we need to first determine the slope of the given line.

A line in slope-intercept form is represented by the following:

$y = mx + b$

where $m$ is the slope of the line and $b$ is the y-intercept.

Rearranging the given line will give us the slope of the line:

$5x + 2y = 12$

$2y = -5x + 12$

$y = -(5)/(2)x + 6$

From this, since we know the lines are parallel, if the slope of the given line is $-(5)/(2)$ , then the slope of the line we are constructing must also be $-(5)/(2)$ .

We can now start to construct the line with the same slope-intercept form:

$y = mx + b$

$y = -(5)/(2)x + b$

To determine the y-intercept, $b$ , we can plug in the point $(-2, 4)$ since we are told from the problem statement that this parallel line runs through it:

$y = -(5)/(2)x + b$

$4 = -(5)/(2)(-2) + b$

$4 = 5 + b$

$b = -1$

Finally, we have our parallel line:

$y = -(5)/(2)x - 1$

If this line needs to be in standard form, we can rearrange it a little:

$2y = -5x - 2$

$5x + 2y = -2$

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use the numbers and decimal to write a number in which the digit 2 is 1/10 the value of the digit 2 in 8.524

Answers

you would move the 2 over one space to the right in the decimal, so an example would be 4.342

8.254 because the two is in the tenths place now

What are the first few digits of pi

Answers

The first few digits of pi are:
3.141592654

pi has been calculated to hundreds of decimal places. Commonly seen abbreviations are 3.14, 3.14159.

help me with measurement please! if a square can become a rectangle can a rectangle become a square?

Answers

Actually, every square is a rectangle, since the angles in a square are always right angles. That's more than saying that a square can be a rectangle; it is one.

And since squares are rectangles, you know that some rectangles are squares--namely, the squares are!

We teach children "this is a rectangle, that is a square. The rectangle's sides are different lengths". But when you grow up, it's important to think of the square as a SPECIAL rectangle, because it is all that a rectangle is, and more.

A square is still a rectangle, but it's not just a rectangle, it's a (pedigreed) square.
In summary, yes a rectangle can be a square.

Hope this helped :)

Which is true of point H at (3, –1)? A. Point H is above the x-axis. B. Point H is to the right of the y-axis. C. Point H is to the left of the y-axis. D. Point H is 3 units from the origin.

Answers

B. point H is to the right of y axis

A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed? a) 20

b) 30

c) 50

d) 100

Answers

C) 50

Because 40%+40%=80%=20+20=40 100%-80%=20%=10

Answer:

Step-by-step explanation:

A certificate of deposit earns 0.75% interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?

Answers

480,000 i think this is the answer

Answer:

The Answer Would Be $32,426.67

Step-by-step explanation:

Took The Test On Peak.GetFueled.com

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