Think of it as a normal linear equation first. Let's find the slope.
m = rise/run = (3-1)/(0-1) = -2
We know the slope is negative now, so we can immediately get rid of the first two answers. Now, we know that the solutions must be under the line itself, so we can try figuring it out by testing some points. Let's use (0,0).
Is 0 </> 0+3? Since it's <, then we know the last answer is correct (y < -2x + 3).
Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
<h2><u>
ABSOLUTE VALUE</u></h2>
The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.
<h3>Exercise</h3>
Replace the value of x:



The absolute value of a number is the numerical value of the number, without regard to its sign.
<h3><u>Answer.</u> 12</h3>
Answer:
No
Step-by-step explanation:
because the unit rate is 6 miles per hour for the first one and 10 miles per hour for the second