Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
Step-by-step explanation:
Given
Determining the length of LM
The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)








Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
The equation for slope is <u>y² - y
</u> x² - x
So it would be: <u>8 - (-20)</u> or <u>8 + 20
</u> 5 - 3 5 - 3
<u>28</u>
2
Then, you have to reduce it, divide both by two.
<u>14</u>
1
Since it is over 1, then it is just the numerator.
Your final is:
<em>Slope = 14</em>
Start by calling the shortest side

. We then know that the longer leg (call it

) is 7 feet longer i.e.

. We also know that the hypotenuse,

is 1 foot more than twice the short leg i.e.

. We now have 3 unknowns but only 2 equations to solve them. Luckily we know this is a right triangle so we can use the Pythagorean Theorem as our third equation:

Substituting known values:

This is now an equation in one variable and can be solved algebraically for

. Back-substitution can then be used for the other sides.
Answer:C
Step-by-step explanation: