A. Is the answer first choice
Answer:
5,4,3,2,1
Step-by-step explanation:
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
Answer:
The mode is twelve.
Step-by-step explanation:
The mode of a data set is the number that appears the most often. I've added an attachment so that you might be able to see some examples.
Answer:
AE = CF .
Why?
BD acts as a shape bisector because it cuts the entire rectangle in half from points B and D.
Given that <u>AE is perpendicular to BD</u>, and <u>CF is perpendicular to BD</u> (which we know BD is a bisector), that means that both AE and CF are of equal length inside the rectangle.
Another way to look at it is:
AE = CF because they are technically just vertical angles, shifted and displaced in a weird way; it is a different representation of vertical angles, only distorted. <em>(Don't use this as your answer though, it needs more context. I just want to make it look easier to comprehend.)</em>
