ANSWER
B' has coordinates (16,14).
EXPLANATION
The given coordinates of square ABCD are :
A (2,7) , C (8,1),D (2,1)
In order to form a square, the coordinates of B should be: (8,7)
The mapping for dilation with a scale factor 2, about the origin is

This implies that:

When we simplify we get:

Hence B' has coordinates (16,14).
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Answer: V = 378 i think
Step-by-step explanation:
They are not coplanar because D is not on the same plane.
If you look at the plane made by the front face, it includes points A, B, E, F, J and H. However, C and D are on a different plane made by the back portion of the figure.
Answer:
NO, this is not prime factorization.
The correct prime factorization is = 
Step-by-step explanation:
Prime factorization means, writing the given number as product of prime numbers.
In the above case, in the prime factorization,<em> the number 8 is present which is not a prime number.</em>
8 can be further represented as product of prime numbers as,

Now the prime factorization reduces to,
= 
= 