Since, this is parallelogram
so, opposite sides are equal
We will find value of sides
Calculation of AB:
we are given point A=(-2,3)
point B=(4,0)
we can use distance formula

now, we can plug values


Since, this is parallelogram
so, opposite sides are equal
so,

Calculation of AD:
point A =(-2,3)
point D=(-5,2)
we can use distance formula

now, we can plug values


Since, this is parallelogram
so, opposite sides are equal
so,

Calculation of AE:
point A=(-2,3)
point E=(-3,1)
we can use distance formula

now, we can plug values


(a)
we know that
perimeter of a parallelogram is sum of all sides
so,
perimeter is

now, we can plug values

...........Answer
(b)
we can use area of parallelogram formula

we can plug values

............Answer
First, coordinate Q is (-5,2) and Q' is (6,2). First, we know that this is a horizontal reflection becuase only the x-values change. This means that the line of reflection will be x=some value. I think the best way to go about this is to find the midpoint of Q and Q' using the formula: M=(x1+x2/2,y1+y2/2)
Q is the first point and Q' is the second point
M=(-5+6/2,2+2/2)
M=(1/2,4/2)
M=(1/2,2)
Since we know the y-values of Q, Q', and the midpoints are all 2, then the line of reflection would be x=1/2
Hope this helps
Answer:
Step-by-step explanation:
We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36
a.
<u>Prime numbers:</u>
- 2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)
b.
<u>Perfect squares:</u>
- 4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)
- P(perfect square) = (3 + 4)/36 = 7/36
c.
<u>Perfect cube:</u>
- 8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)
- P(perfect cube) = 5/36
Hello IdontKnowHowToMath,
first, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 6000(1 + (0.03 × 4)) = 6720
A = $6,720.00
The
total amount accrued, principal plus interest, from simple interest on a
principal of $6,000.00 at a rate of 3% per year for 4 years is
$6,720.00.