Answer:
12
Step-by-step explanation:
12×12=144
12 squared equals 144 so square root is 12.
Answer:A.) triangular prism B.) triangular-based pyramid
Step-by-step explanation:
The sequence 2, 3, 5, 7, 11 are the first five prime numbers. A prime number is a positive integer which has exactly 2 positive integer factore, one factor being 1 and the other factor is the positive number itself. So the next prime numbers after 11 are 13, then 17, 19, 23, 29, 31, 37, 41, 43
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
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Answer:
see explanation
Step-by-step explanation:
Given
(x - 3) × (x + 4) = 0, that is
(x - 3)(x + 4) = 0
The zero product indicates that (x - 3) = 0 or (x + 4) = 0
x - 3 = 0 ⇒ x = 3
x + 4 = 0 ⇒ x = - 4
Thus if x = 3, then
(3 - 3)(x + 4) = 0 × (x + 4) = 0
Similarly if x = - 4 the output is zero
