B. is true. 15·(–5) > 23·(–12).
15·(-5)=-75.
23·(-12)=-276.
-75 > -276
Answer:
AB is 16 units.
Step-by-step explanation:
Given:
AE = EC
BF = FC
EF = 8 and DF = 10
To Find:
AB = ?
Solution:
Mid Point Theorem:
The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".
AE = EC .....Given
Therefore E is the Mid Point of AC.
BF = FC .....Given
Therefore F is the Mid Point of BC.
Therefore,
EF || AB ........................Mid Point Theorem.
..............Mid Point Theorem.
Substituting the values we get
Therefore AB is 16 units.
Step-by-step explanation:
Answer:
<h2>B. The slope is 5 and (2, 4) is on the line.</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point</em>
<em />
We have the equation:

Therefore
<em>m = 5</em>
<em>(x₁, y₁) = (2, 4)</em>
<em />

Recall that

Take it one piece at a time. For

, we can scale

by -5:

If we shift the argument by 1 and scale by -5, we have

so if we subtract this from

, we'll end up with

For the next piece, we can add another scaled and shifted step like

so that

For the last piece, we add one more term:

and so putting everything together, we get

:

Answer: 314
Take each number place and subtract them from each other.