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3 years ago

Write the equation of a line through (-1,7) and (2,-6)

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

Answer:

- 13

Step-by-step explanation:

- 6- 7= - 13

2- - 1= 3

Therefore your answer is -13

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A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?

faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

n = 4

k = 3

$_{n}P_{k}=\dfrac{4!}{(4-3)!}$

$_{n}P_{k}=\dfrac{4!}{1!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{1}$

$_{n}P_{k}=\dfrac{24}{1}$

7 0

3 years ago

If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di

erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

$Work=Force*distance*Cos(\alpha)$

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

$Force=22N\\Distance=14m$

So, substituting the given information into the equation to calculate work, we have:

$Work=Force*distance\\Work=22N*14m=308N.m$

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0

4 years ago

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620

nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0

3 years ago

viva [34]

109 with a remainder of 6
Please give brainliest

7 0

3 years ago

Find the area of the figure. Use 3.14 for A.

Masteriza [31]

Answer:

38.13 m^2

Step-by-step explanation:

the area of a triangle =b*h/2

b=base

h=height

area triangle=(4m*3m)/2=(12m^2)/2=6m^2

the area of a rectangle =b*h

b=base

h=height

area of a rectangle=6m*3m=18m^2

area of a semi circle=(pi*r^2)/2

r=radius

area of a semi circle==(3.14*(3m)^2)/2=14.13m^2

area of the figure=6m^2+18m^2+14.13m^2=38.13m^2

the answer is 38.13m^2

8 0

4 years ago