Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Answer:
The percentage error is 3.6 % .
Step-by-step explanation:
Formula


As given
Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.
Here
Approx value = 78.25 in
Exact value = 75.50 in

Error = 2.75
Put in the formula


Error percentage = 3.6 %
Therefore the percentage error is 3.6 % .
Answer:
The house is increasing in value by 2% each year.
Correct the increase is 1.02 per year the value of b>0 and the percentage of increase each year is:
Step-by-step explanation:
For this case if we have this expression

We have the same functional forma like the exponential model given by:

Where a = 210000 represent the constant or initial value and b = 1.02 represent the base.
So let's analyze the possible options:
The house has a starting value of 1.02.
False the starting value for this case is 210000 since if x=0 then we see that the value is 210000
The house is decreasing in value by 2% each year.
False the increase is 1.02 each year so then in % we have

We have an increase of 2% each year
The house is increasing in value by 2% each year.
Correct the increase is 1.02 per year the value of b>0 and the percentage of increase each year is:
The value of the house is changing by 0.02% each year.
False the increase is 2% per year
The correct answer is 2 found by my calculator.
the greatest common factor is 8
List the factors of 16 and 40:
16: 1,2,4,8,16
40: 1,2,4,5,8,10,20,40
8 is the greatest common factor