All categories

3 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)

Mathematics

1 answer:

Marina86 [1]3 years ago

8 0

<h2>Question :</h2>

<em>Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)</em>

<h2>Answer :</h2>

<h2>Explanation :</h2>

y = mx + c

*m = gradien

•>looking for gradients

y=2/3x+9

m1 = 2/3

m2 = -3/2

•>line equation (-6,5)

y - y1 = m(x - x1)

y - 5 = -3/2(x - (-6))

y - 5 = -3/2(x + 6)

y - 5 = -3/2 - 9

y = -3/2x - 9 + 5

y = -3/2x - 4

You might be interested in

The exponential decay graph shows the expected depreciation for a new boat, sell g for $3500, over 10 years.

Alisiya [41]

Okay, the exponential function is
$g = a^{x}$
The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes
$g = 3500^{x}$
Let's see at t=2, where the price is g=2000:
$2000 = 3500^{x}$
Take natural logarithm:
$ln 2000 = ln 3500^{x}$
$x*ln 3500 = ln 2000$
$x = \frac{ln 2000}{ln 3500} = 0.93$
So, the difference between t=0 and t=2 is
$x_{t=0} - x_{t=2} = 1 - 0.93 = 0.07$
And then we get the change of x in one year equal to 0.035.
So, the final equation is
$g = 3500^{1-0.035t}$
You can insert any t and see that it is correct, for example t=7

8 0

3 years ago

Help me pleaseeeeeeeeeeeeeeeeeeeeeeee

Natali [406]

Answer:

Step-by-step explanation:

on a graph, look at the points (-3,0) (-1,0) and (2,0). Then, see if the line passes through those points. You will see that graph D passes through all those points. If you're confused on how to turn the (x,y) format into points on a graph, remember that the first point tells you how left/right you want to be, and the second point tells you how up/down you want to be.

6 0

2 years ago

Factor and solve the zeros for the following x^2+10x-75=0

MrMuchimi

X=5,−15 I know I took it

5 0

2 years ago

A) find the exiting water's average velocity and total rate of flow.

LenaWriter [7]

I would choose a hope this helps

3 0

3 years ago

One more than one-<br>fourth the square of a<br>number x is y

Tatiana [17]

Answer:

y = 1 + ¼x²

Step-by-step explanation:

Given

One more than one-fourth the square of a number x is y

Required

Represent algebraically

We start by analysing the expression one after the other.

First, the two numbers to compare are represented by x and y.

Where y is the resulting number.

So, we start with y =;

Then we move backwards

- "the square of a number, x" can be represented with x²

- one-fourth "the square of a number, x".

The expression in quote has already been represented by x².

So, we can replace this expression with x².

This will give us: one-fourth of x²

One-fourth means ¼

Hence, one-fourth of x² = ¼ * x²

- "One more than" means 1 has to be added to the previous expression to give y.

In other words; 1 + ¼ * x²

Finally, we'll bring the expressions together to give

y = 1 + ¼ * x²

y = 1 + ¼x²

Hence, "One more than one-fourth the square of a number x is y" is represented in algebra by y = 1 + ¼x²

6 0

3 years ago