27x² and 81x⁵
81 = 27*3
x⁵ = x²x³
81x⁵ = 27*3*x²x³= (27x²)*3x³
We can see that 81x⁵=(27x²)*3x³ includes as a factor 27x²,
so GCF is 27x².
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
Yes
Step-by-step explanation:
2√3 − 2√3 is equal to 0. So what we are trying to find out is if 0 is a rational number. 0 IS a ratinol number as it can be expressed as a fraction of integers.
Answer:
a₁ = 1; r = 3
Step-by-step explanation:
a₁ represents the first term. It is 1 in this case.
r represents the common ratio between terms. In this case it's 3 / 1 = 3.
