The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
Step-by-step explanation:
Part A - Where did Phillip make a mistake? Justify your answer using complete sentences.
Use order of operation (PEMDAS)
He should multiply 8 x 4 first
Part B - Solve the expression correctly in the space below.
(5 x 9) - 8 x 4
= 45 - 32
= 13
Part C - Use the same rules of order of operations to solve the expression (8-4) +9 x 3. Explain your steps as you solve it.
(8-4) + 9 x 3
Step 1: 4 + 9 x 3 (Subtract in the parenthesis first)
Step 2: 4 + 27 (Multiply 9 x 3)
Step 3: 31 (Add)
Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
--- initial
--- rate
--- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where
Express percentage as decimal
The required is the calculated using:
So, we have:
<em>The total amount received is: $1906650</em>
