Answer:
C) P(1, -26/7)
Step-by-step explanation:
You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.
<h3>Weighted average</h3>
Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.
P = (2A +5B)/(2+5)
P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7
P = (1, -26/7)
The coordinates of P are (1, -26/7).
Answer:
x = -1 x = -5/3
Step-by-step explanation:
Assuming we want the zeros
(2x+2) (3x+5) =0
Using the zero product property
2x+2 = 0 3x+5 =0
2x = -2 3x = -5
x = -2/2 x = -5/3
x = -1 x = -5/3
The absolute value of -5 is 5 (absolute value being how many units to 0)
So we really have 5 - 45 ÷ 3 =
Order of operation says to do the division first (there are no parentheses or exponents). So now we have 5 - 15= and the answer to that is -10.
For this case, the first thing we must do is define variables.
We have then:
x: time in minutes
y: distance traveled.
We then have the following equations:
For Kathleen:

For Arnob:

By the time Arnob reaches Kathleen we have:

From here, we clear the value of x.
We have then:


Answer:
it takes Arnob to catch up to Kathleen 75 minutes:
d. 75
Answer:

Step-by-step explanation:
Given



Required
Calculate the perimeter of IJH
<em>See attachment for illustration</em>
From the attachment,
I = mid of FH.
So:



J = mid of GH.
So:



Perimeter IJH is then calculated as:


