Slope formula : (y2 - y1) / (x2 - x1)
(2,4)...x1 = 2 and y1 = 4
(5,10)...x2 = 5 and y2 = 10
now we sub and solve
slope = (10 - 4) / (5 - 2) = 6/3 = 2

The slope of the line is 2....and this is basically saying that Jan runs 2 laps every minute

5 0

2 years ago

Read 2 more answers

A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacture

Zolol [24]

Answer:

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = $Length \times Width \times height$

Volume of solid = $(x+1) \times x \times (2x+1)$

Volume of solid = $(x^2+x)(2x+1)$

Volume of solid = $2x^3+x^2+2x^2+x=2x^3+3x^2+x$

We are given that a rectangular solid must have a volume of 84 cubic meters

So, $2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\$

On equating

x-3=0

x=3

So, Length of solid = x+1=3+1 = 4 feet

Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

8 0

2 years ago

Need help, quickly!<br><br> make r the subject of the formula p=10(q-3r)/r

damaskus [11]

Answer:

Step-by-step explanation:

p=10(q-3r)/r

Cross multiply

pr = 10(q-3r)

pr = 10q - 30r

Pr + 30r = 10q

r(p + 30) = 10q

r = 10q/(p + 30)

3 0

2 years ago

Cai says you can divide both quantities in a ratio by the same nonzero number to

alexandr1967 [171]

Answer:

correct

Step-by-step explanation:

dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.

for example

60 : 36 ( divide both parts by 6 )

= 10 : 6 ← equivalent ratio ( divide both parts by 2 )

= 5 : 3 ← equivalent ratio in simplest form

in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is

60 : 36 ( divide both parts by 12 )

= 5 : 3

6 0

2 years ago