Answer:
1/16
Step-by-step explanation:
(4/16)^2 = 1/16. Input the following in the calculator.
Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)
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Explanation:
We can write the 9x^2 as (3x)^2 since
(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2
The 49 can be written as 7^2 because 7^2 = 7*7 = 49.
This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.
The difference of squares factoring rule is
a^2 - b^2 = (a-b)(a+b)
which we have a = 3x and b = 7 in this case
So,
a^2 - b^2 = (a-b)(a+b)
(3x)^2 - 7^2 = (3x-7)(3x+7)
9x^2 - 49 = (3x-7)(3x+7)
Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.
Answer:
at + vi = vf
Step-by-step explanation:
In order to solve for vf, we need to isolate said variable.
a = vf - vi/t (Given)
at = vf - vi (Multiply t on both sides)
at + vi = vf (Add vi on both sides)
Answer:
B. 455
Step-by-step explanation:
The order in which the toppings are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
3 toppings from a set of 15. So
455 3-topping sundaes can be made.
(4,3) Down 3 from 6 on y-axis and left 2 on x-axis.
