Find the slope of the line that passes through (-20, -51) and (31, -75).

Mathematics

1 answer:

lilavasa [31]3 years ago

7 0

Answer:

-8/17

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-75-(-51))/(31-(-20))

m=(-75+51)/(31+20)

m=-24/51

m=-8/17

You might be interested in

What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common

kolbaska11 [484]

Answer:

The smallest positive number is 8

Step-by-step explanation:

let the smallest positive number = x

45 is a multiple of 9 ⇒ 9 x 5 = 45

the next multiple of 9 after 55 is 63

= 9 x 7

= 63

Thus, x + 55 = 63

x = 63 - 55

x = 8

The greatest common factor of 45 and 63 = 9

Therefore, the smallest positive number is 8

5 0

3 years ago

To help vegetables stay fresh longer, Liam’s family maintains storage near their home. The total volume of the root cellar is 95

Helga [31]

To help vegetables stay fresh longer, Volume of storage of 951 cubic feet is equal to 26.929 $m^3$

<u>Solution:</u>

Given that to help vegetables stay fresh longer, Liam’s family maintains storage.

Total volume of root cellar that is storage is 951 cubic feet.

Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is $m^3$

$\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}$