Answer:
<h2>A = 2.25π</h2>
Step-by-step explanation:
The formula of an area of a circle:
r - radius
The formula of a circumference of a circle:
We have:
Substitute:
<em>divide both sides by 2π</em>
Substitute:
The function is y=emc^2+y=mca
Answer:
A
Step-by-step explanation:
In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.
So, moving 9 to the other side, you get, 8x<-32
Then, you can divide by 8 on both sides to get x alone.
You get, x<-4.
From this, we can see that it should be an open dot at -4, and pointing to the left.
So, the correct number line is A.
Additive inverses combine to get 0. So, k is -1.4. The sum is 0. Hopefully that will help.
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
