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3 years ago

Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3

Mathematics

1 answer:

irina [24]3 years ago

8 0

Step-by-step explanation:

<h3>fggggggfttgttthhhbbbbbbbbbbbhbb</h3>

hhhhhnnnnnnnnnbnhhhjhnnhhjj

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Show that there are 30.48 cm per foot. how many centimeters are there in one mile?

Gala2k [10]

Hi there! There are 5,280 feet in one mile, and there are 30.48 cm per foot. To find the amount of centimeters in one mile, all you have to do is multiply 30.48 by 5,280. 30.48 * 5,280 is 160,934.4. There. There are 160,934.4 centimeters in one mile.

5 0

4 years ago

F = (-6.0,3.3), where all components are in newtons. if a vector's direction is measured counterclockwise from the positive x-ax

Westkost [7]

The second-quadrant angle is

... arctan(3.3/-6.0) ≈ 151°

_____

Your calculator will tell you it is about -28.81°. You need to add 180° to that 4th-quadrant angle to put it in the 2nd quadrant.

8 0

3 years ago

A laptop computer is purchased for $1500 after each year the resale value decreases by 25% what will the resale value be after t

Wittaler [7]

Answer:

The resale value after three years = $ 632.8125‬

Explanation:

Given the laptop purchase for $1500

Therefore, the cost price = $1500

According to the question, the resale value decreases by 25%,

Then after three years, the resale value is

Resale Value = $\text { cost Price }\left(1-\frac{r}{100}\right)^{\text {time }}$

Substituting the values,

Resale Value = $1500\left(1-\frac{25}{100}\right)^{3}$

Resale Value = $1500\times (\frac{3}{4})^3$

Resale Value = $1500\times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}$

Resale Value = $632.8125‬

Therefore, the resale value after three years = $ 632.8125‬

3 0

3 years ago

The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest

kipiarov [429]

Answer:

Look to the explanation

Step-by-step explanation:

* Lets explain how to solve the problem

- The consecutive integers are the integers after each other like

1 , 2 , 3 , ......

- The rule of the sum of the interior angles of any polygon is:

(n - 2) × 180° , where n is the number of the sides of the polygon

- The sum of the interior angles of a hexagon is equal to the sum of

six consecutive integers

* Lets find the sum of the interior angle of the hexagon

∵ The hexagon has 6 sides

∴ n = 6

∴ The sum of its interior angles = (6 - 2) × 180° = 720°

* Lets find the sum of six consecutive integers

- Assume that the smallest integer is x

∴ The numbers are x , x + 1 , x + 2 , x + 3 , x + 4 , x + 5

∵ Their sum = x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5)

- Add like terms

∴ Their sum = 6x + 15

- Equate the sum of the 6 numbers by the sum of the angles of

the hexagon

∴ 6x + 15 = 720

- Subtract 15 from both sides

∴ 6x = 705

- Divide both sides by 6

∴ x = 117.5

- But 117 .5 not integer

∴ The sum of the interior angles of a hexagon can not equal the

sum of six consecutive integers

- But it can be if the numbers are consecutive odd integers

because the consecutive odd numbers are

x , x + 2 , x + 4 , x + 6 , x + 8 , x + 10

∴ Their sum = 6x + 30

∵ 6x + 30 = 720

- Subtract 30 from both sides

∴ 6x = 690

- Divide both sides by 6

∵ x = 115

∵ x represents the measure of the smallest angle

∴ The measure of the smallest interior angle of the hexagon is 115°

7 0

4 years ago

Find the constant of variation k for the direct variation

Alla [95]

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

k is the constant of variation

The constant of variation k = $\frac{y}{x}$

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points [except point (0, 0)] to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = $\frac{y}{x}$

→ Substitute the values of x and y in the relation above

∴ k = $\frac{2}{-1}$

∴ k = -2

The constant of variation is k = -2

7 0

4 years ago