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3 years ago

What is the equation that represents the line?

Mathematics

1 answer:

Kryger [21]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = $\frac{-3+6}{2+2}$ = $\frac{3}{4}$ , thus

y = $\frac{3}{4}$ x + c ← is the partial equation

To find c substitute either ot the 2 points into the partial equation

Using (2, - 3), then

- 3 = $\frac{3}{2}$ + c ⇒ c = - 3 - $\frac{3}{2}$ = - $\frac{9}{2}$

y = $\frac{3}{4}$ x - $\frac{9}{2}$ ← equation of line

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Vladimir [108]

<span>6840 customers ... 45 days<span>
x customers = ? ... 1 day

If you would like to know how many customers were in Jasigreen's class in 1 day, you can calculate this using the following steps:

6840 * 1 = 45 * x
6840 = 45 * x /45
x = 6840 / 45
x = 152 customers

<span>The correct result would be </span>152 customers<span>.</span></span></span>

4 0

3 years ago

If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds a

Luba_88 [7]

Answer:

$12C5 *(12C3) = 792*220 =174240 ways$

Step-by-step explanation:

For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52

First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

$nCx = \frac{n!}{x! (n-x)!}$

So then 12 C5 would be equal to:

$12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792$

So we have 792 was in order to select 5 diamonds from the total of 12

Now in order to select 3 clubs from the total of 12 we have the following number of ways:

$12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220$

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

$(12C5)*(12C3) = 792*220 =174240 ways$

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3 years ago

a ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. there are cars or compartments where pe

chubhunter [2.5K]

The research was conducted on the ferris wheel. The number of cars or compartments is 32. The London Eye and the diameter of the wheel is 120m.

It is required to find the solution.

<h3>What is a statement?</h3>

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The circumference of the wheel will be:

= 2πr

= 2π(120/2)

= 377m

The area of the wheel will be:

= πr²

= π(60²)

= 11310m²

The measure of a central angle in degrees will be:

= 360/32 = 11.25 degrees

The measure of a central angle in radians will be:

= 2π(11.25)/360

= 20 radians.

The arc length between two cars or compartments will be:

= 2π(60)(11.25)/360

= 11.78

The area of a sector between two cars or compartments will be:

= π(60²)(11.25)/360

= 353.43

An equation of a circle for your ferris wheel when the center of the ferris wheel is located at (0, 0) on a coordinate grid will be x² + y² = 3600.

Therefore, the research was conducted on the ferris wheel. The number of cars or compartments is 32. The London Eye and the diameter of the wheel is 120m.

Learn more about statement here:

brainly.com/question/2285414

#SPJ4

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2 years ago

Which of the following expressions is equal to -4x^2-36

liubo4ka [24]

Answer:

Step-by-step explanation:

-4x^2-36 can be rewritten as -4(x^2 + 9). The quantity in parentheses does not have real roots, but does have the imaginary roots ±3i.

Next time, please share the possible answer choices.

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3 years ago

876.34 rounded to the nearest thousandth

kogti [31]

Answer:

There is no thousands place. It only goes up to a hundred

Step-by-step explanation:

You need another number after 4 to be able to round thousands

3 0

3 years ago

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