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: 15/24...i'm not sure though *scratches head*
Answer:
65 degrees
Step-by-step explanation:
The answer is 500 m.
d = u * t + 1/2 a * t²
We know:
d = ? (distance)
u = 0 (the initial velocity)
t = 10 s (time
a = 10 m/s² (acceleration
d = u * t + 1/2 a * t²
d = 0 * 10 + 1/2 * 10 * 10²
d = 0 + 1/2 * 10 * 100
d = 500 m
Answer:
x ∈ R, x ≠ 9
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
To find the value that x cannot be, equate the denominator to zero and solve for x
x - 9 = 0 ⇒ x = 9 ← excluded value
Thus the domain is x ∈ R, x ≠ 9
