Parallelograms have equal and parallel opposite sides
<em>The coordinates of the 4th point is (-2,3)</em>
Let the parallelogram be ABCD, such that:
A and B have the same y-coordinates, while their x-coordinates are additive inverse
This means that:
The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.
<u>For point C</u>
We have:
<u>For point D</u>
The coordinates would be:
Hence, the coordinates of D is (-2,3)
Read more about parallelograms at:
brainly.com/question/9680084
The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
Step-by-step explanation:
Recursive formula
a1 = -17
a^n = a^n-1 + 5
Explicit formula:
a^n = -17 + (n-1) * 5
Step-by-step explanation:
7z-5=4y-6
-4y=-6-7z+5
-4y=-1-7z
y=1/4+7/4z
y=7/4z+1/4
7z=4y-6+5
7z=4y-1
z=4/7y-1/7
