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Vladimir79 [104]

3 years ago

7

Helpppppp meeeeeeeee

1 answer:

jok3333 [9.3K]3 years ago

8 0

Answer:2

Step-by-step explanation:

2

You might be interested in

What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?

soldier1979 [14.2K]

Answer:

The answer is

<h2> $y = - \frac{3}{5} x + 13$ </h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

<h3> $y = - \frac{ 3}{5} x + \frac{11}{5}$ </h3>

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

<h3> $y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4$ </h3>

We have the final answer as

<h3> $y = - \frac{3}{5} x + 13$ </h3>

Hope this helps you

8 0

2 years ago

PLEASE HELP ASAP!! Thank you!

ankoles [38]

The answer is:
14-55x-36x

8 0

2 years ago

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

$5y = -2x + b$

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

$\frac{5}{5}y = -\frac{2}{5}x + b$

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

$(-4) = -\frac{2}{5} * (5) + b$

$--> -4 = \frac{10}{5} + b$

$---> -4 = -2 + b$

Add 2 to both sides to isolate b.

$-4 + 2 = b$

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is $y = -\frac{2}{5}x - 2$ .

Hope this was helpful.

3 0

3 years ago

The graph of f (x) = x + 5 is a vertical translation 5 units

irakobra [83]

Answer:

A horizontal translation of 5 units to the left.

Step-by-step explanation:

Given the parent linear function:

$\displaystyle f(x)=x$

To shift vertically n units, we can simply add n to our function. Hence:

$f(x)=x+n$

So, a vertical shift of 5 units up implies that n=5. So:

$f(x)=x+5$

As given.

However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:

$f(x-n)=(x-n)$

Where n is the horizontal shift.

For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:

$f(x-1)=(x-1)$

Or:

$f(x)=x-1$

We notice that this is also a vertical shift of 1 unit downwards.

Therefore, we want a number n such that -n=5.

So, n=-5.

Therefore, it we shift our function 5 units to the left, then n=-5.

Then, our function will be:

$f(x-(-5))=(x+5)\text{ or } f(x)=x+5$

Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.

7 0

2 years ago

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is

Schach [20]

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating equations (1) and (2), we get,

3/2 x - 16 = 4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

8 0

2 years ago