The 4 in 64,781 has a thousands value. The 2 in 25,409 has a ten thousands value 1000 times 10 equals 10,000 so the answer is.....10 times greater.
(Btw please put elementry questions in elementry and high school questions in high school plz)
Question:
What is the following product?
(√14 - √3) (√12 + √7)
Answer:
2√42 + 7√2 - 6 - √21
Step-by-step explanation:
Given.
(√14 - √3) (√12 + √7)
Required
Product
(√14 - √3) (√12 + √7)
We start by opening the brackets
√14(√12 + √7) -√3(√12 + √7)
√(14*12) + √(14*7) - √(3*12) - √(3*7)
Expand individual brackets
√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(4*42) + √(2*49) - √(9*4) - √(3*7)
Split Roots as follows
= √4 * √42 + √2 * √49 - √9 * √4 - √21
Take square root of perfect squares
= 2 * √42 + √2 * 7 - 3 * 2 - √21
= 2√42 + 7√2 - 6 - √21
Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21
Answer: The correct option is (A).
Step-by-step explanation: Given that the equation of the quadratic parent function is
We are to find the equation of the new function after shifting the parent function (i) 12 units left.
Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.
And the x co-ordinate becomes (x+12).
Therefore, the equation of the new function will be
Thus, the required equation of the new function is
Option (A) is correct.