Ask question

Ask question

All categories

3 years ago

8

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

how your work.
Please help!

1 answer:

amid [387]3 years ago

8 0

Answer:

y = (3/2)x + 8

Step-by-step explanation:

Hi

First let's find the slope of the given line by converting to slope-intercept form:-

2x + 3y = 9

3y = -2x + 9

y = (-2/3)x + 3

From this we see that the slope is -2/3.

The slope of a line perpendicular to this one will be - 1 / (-2/3)

= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).

Using the point-slope form to find the equation of this line

y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.

Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-

y - 5 = 3/2 (x - -2)

y - 5 = 3/2x + 3

y = (3/2)x + 8 which is the equation in slope-intercept form.

You might be interested in

How do you know that the right triangles are the bases of the prism

zysi [14]

Answer:

if the triangular faces are equilateral, the prism is regular, in which case the rectangular faces are congruent. The rectangular faces are said to be lateral, while the triangular faces are bases. If the bases are horizontal, they are sometimes called the top and the bottom (faces).

Read more on Brainly.com - brainly.com/question/16526384#readmore

Step-by-step explanation:

4 0

3 years ago

.. 10 is what percent of 7? Round the nearest whole percent.

romanna [79]

Answer:

143%

Step-by-step explanation:

$\frac{10}{7}$ x100=142.9%=143%

7 0

3 years ago

Algebra 2 help please

Lynna [10]

Answer:

yes

option 1

Step-by-step explanation:

6 0

3 years ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

W+w+w+w+w+15-7 I got this wrong on a math question. I did 5w+8 = 13w

Aleonysh [2.5K]

$w+w+w+w+w+15-7=\underbrace{w+w+w+w+w}_5+(15-7)\\\\=5w+8-\text{finish}\\\\\text{You can not add 5w and 8. These are different monomials.}$

Example:

5w - five apples

8 - eight strawberries

5w + 8 = (five apples) + (eight strawberries) = 13 of what?

You can add only numbers of the same fruits.

4 0

3 years ago

Read 2 more answers