In how many ways can 5 students be seated in a row of 5 chairs if jack insists on sitting in the first chair

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

I believe the answer would be 8 because jack will not move

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Write the equation of the line that passes through the points (-6, -9) and

e-lub [12.9K]

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute: $m=\frac{7+9}{7+6}$
Add: $m=\frac{16}{13}$

Step 3: Write equation

y - 7 = 16/13(x - 7)

3 0

2 years ago

Each leg of 45 degree -45 degree -90 degree triangle measure 12 cm what is the length of the hypotenuse

Yuri [45]

A = b = 12 cm

Pythagorean theorem

$a^2+b^2=c^2\\\\ c^2=a^2+a^2\\\\ c^2=2a^2\\\\ c=\sqrt{2a^2}$

$c=a\sqrt2$ formula

$c=12\sqrt{2} \ (cm)$ <-- Answer

3 0

3 years ago

Pizza Palace cuts a medium pizza into 8 slices. The same size pizza at pizza pioneers is cut into 16 slices. Jazmine ate four sl

sasho [114]

1/4 because if you divide 4 and 16 by 4, you will get 1/4.

6 0

2 years ago

Read 2 more answers

The fuel efficiency for a 2007 passenger car was 31.2 mi/gal. For the same model of car, the fuel efficiency increased to 35.6 m

Ierofanga [76]

We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.

We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.

Let represent the functions as $d_{1}(x)$ and $d_{2}(x)$ where $d_{1}$ and $d_{2}$ represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as: