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storchak [24]
3 years ago
13

What is the equation of the following line? Be sure to scroll down first to see

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 1) ← 2 points on the line

m = \frac{1-0}{-3-0} = - \frac{1}{3}

y = - \frac{1}{3} x ← equation of line

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Find the volume of the following figure. <br><br> 6 cm3 <br> 7 cm3 <br> 8 cm3 <br> 5 cm3
Cerrena [4.2K]

Answer:

7 cm³

Step-by-step explanation:

Assume each cube has an edge 1 cm in length.

Each cube has volume 1 cm³.

There are 7 cubes.

volume = 7 cm³

5 0
2 years ago
Which statements accurately describe the function f(x) = 3(18)*? Select three options.
Yanka [14]

Answer:

Step-by-step explanation:

Without the variable x, your "f(x) = 3(18)*" is not a function.  If you meant

f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).

the initial value is 3:  f(0) = 3(18)^0 = 3(1) = 3

7 0
3 years ago
Given the diagram below, what is cos(45*)? <br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
alina1380 [7]

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

<h3 /><h3>cos 45 = 1 / √2</h3>

Hope this helps you

3 0
3 years ago
Which of the following pairs of triangles are similar?
Ganezh [65]
The second and the fourth
6 0
3 years ago
Please help me with these two questions
melisa1 [442]

Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:

<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>

\boxed{A. \ 1.50h+4}

From the problem, we know the following data of the problem:

  • Laval parked at the beach.
  • Laval paid a fixed price of $4 for a pass.
  • Laval paid $1.50 for each hour.

Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:

Step 1: Since we have a fixed price, this value will appear in our expression:

4

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

1.50h

Finally, we can write total cost (C) as the sum of these two expressions:

C=1.50h+4

Finally, our correct option is A:

\boxed{1.50h+4}

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>

5 hours

Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5

Finally, he spent 5 hours at the beach

6 0
3 years ago
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