Answer:
B
Step-by-step explanation:
Comparing like terms on both sides
→ x²
Note that x² = ![\sqrt[3]{x^{6} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B6%7D%20%7D)
→ 
Note that = ![\sqrt[3]{y^{12} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E%7B12%7D%20%7D)
Also
54 → 3
Note that 54 = 3³ × 2
and ![\sqrt[3]{54}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D)
= ![\sqrt[3]{3^{3}(2) }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B3%7D%282%29%20%7D)
= 3![\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D)
Hence
![\sqrt[3]{54x^{6}y^{12} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E%7B6%7Dy%5E%7B12%7D%20%20%7D)
= 3x²
Hence n = 3 → B
Answer:
(4,2)
Step-by-step explanation:
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
27=0.3(x)
27/0.3=90
The number is 90
Answer:
x=-1 or x=3
Step-by-step explanation:
This is a quadratic equation
You can use the graph tool to visualize the x-intercepts on the graph as attached below.
x=-1 or x=3
