Answer:
P'( 4, -4)
Step-by-step explanation:
The double reflection across the x-axis does nothing, so the net effect is a single reflection across the y-axis. That effect is to negate the x-coordinate:
reflection across y-axis: (x, y) ⇒ (-x, y)
Then P(-4, -4) ⇒ P'(4, -4)
Hello from MrBillDoesMath!
Answer: 23
Discussion:
We only need to check primes less that the square root of 576, which is about 23.98. As 23 is a prime number, it is the answer to the question.
Another way of looking at this: the primes less than or equal to 23
(23*23 = 529)
2, 3, 5,7,11,13,17,19,23
The greatest prime in the list is 23
Thank you,
MrB
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
<u>STEP ONE: Find the zeros / x-intercept of the graph</u>
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
The second intercept is on the second grid.
<u>STEP TWO: Plug the zeros into factorization form</u>
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
All polygons have straight lines
Step-by-step explanation:
I don’t know for sure if this is right but I got f(-3)=1.
f(-3)= -x - 2
f(-3)= -(-3) - 2
The 2 negatives cancel each other out and make a positive.
f(-3)= 3-2
f(-3)=1