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3 years ago

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Mathematics

2 answers:

djyliett [7]3 years ago

8 0

Answer:

y = 1.5x + 1.5

Step-by-step explanation:

First, plot 2x + 3y = 15 on a graph. Then plot (1,3) on a graph. After that, draw a line that passes through (1,3) and forms 90 degrees angles with 2x + 3y = 15. Then find the equation of that line by finding the y-intercept (0, 1.5). Then head up to the intersection point (1.6153846153846, 3.9230769230769). Subtract 1.5 from y. (2.4230769230769) Then divide by 1.5 (1.6153846153846). Reverse the operations you just did (in reverse order) to get the equation y = 1.5x + 1.5.

(I don't know how to explain this too well.)

cricket20 [7]3 years ago

5 0

Answer:

y = 1.5x + 1.5

Step-by-step explanation:

(I don't know how to explain this too well. Here's a graph to make more sense of it.)

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Write each polynomial function in standard form , classify it by degree and determine the end behavior of its graph Y=12-x^4

Dmitry_Shevchenko [17]

In standard form, zero is always on the right:
y = 12 - x^4
y + x^4 - 12 = 0

End behavior:
As x approaches ∞, y approaches -∞
As x approaches -∞, t approaches -∞

4 0

3 years ago

Olivia bought a beach towel for $9.95

horsena [70]

Answer:

$23.41

Step-by-step explanation:

Add the cost of each item together.

$9.95 + $13.46 = $23.41

And there may have been sales tax as well but this information was not provided so it is not needed in the answer.

8 0

3 years ago

A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati

Nuetrik [128]

<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

7 0

3 years ago

Preston and horation have 49 video games total. Horation has 11 more than preston. How many games does each person have?

Makovka662 [10]

Preston has 19 games and Horation has 30.

4 0

3 years ago

Will give brainliest for *BEST* answer!

Nataliya [291]

Use substitution and substitute y into the other equation. One of the equations already gives you y in terms of x, so use that and substitute it into the other equation. y = 3x - 4

Plug into the other equation: -3y = -9x + 12
-3(3x-4) = -9x + 12
-9x + 12 = -9x + 12
This is an identity. So that means that any value of x makes this equation true. So B.

8 0

3 years ago