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Lena [83]
2 years ago
6

A, B and C lie on a straight line.

Mathematics
1 answer:
horsena [70]2 years ago
6 0
Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)

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What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
ludmilkaskok [199]
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

The axis of symmetry is 6
3 0
3 years ago
I need some homework help please.
vlada-n [284]
I think the person on top got you with the answer
5 0
3 years ago
Read 2 more answers
In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.
ozzi

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

7 0
2 years ago
Which function has a domain of x 25 and a range of y s3?
lions [1.4K]

Answer:

Step-by-step explanation:

The function  has a domain x ≥ 5.

This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.

Hence, (x - 5) ≥ 0

⇒ x ≥ 5

Now, for all x values that are greater than equal to 5 the value of  will be negative.

So,  

⇒  

⇒ y ≤ 3

Therefore, the range of the function is y ≤ 3. (Answer)

<em>Note: Thanks rani</em>

3 0
3 years ago
An object is traveling around a circle with a radius of 20 meters. If in 10 seconds a central angle of 1/5 radian is swept out,
PilotLPTM [1.2K]
The linear speed of the object is the ratio between the measure of the arc it had traveled and the time. For the length of the arc,
                     2π x (20 m) x (0.2 rad/ 2π rad) = 4 meters
Divide this by the time, 10 s. Thus, the linear speed is equal to 0.4 m/s. 
8 0
3 years ago
Read 2 more answers
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