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olchik [2.2K]
3 years ago
6

What is the vertex of the function f(x) = x2 + 3x + ?

Mathematics
1 answer:
guapka [62]3 years ago
5 0

The vertex of the function is at x = -3/2. We cannot find the y value with an incomplete equation.


To find the x value of a vertex, we use the equation -b/2a, in which a is equal to the coefficient of x^2 (in this case 1) and b is equal to the coefficient of x (in this case 3).


-b/2a

-3/2(1)

-3/2


This gives us that value. To find the y value, you would plug this into the equation. Since this equation is not complete, you cannot do that yet.

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If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?
aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where  -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0
3 years ago
Read 2 more answers
19 - k = 4. <br><br><br><br><br>I need help​
Marysya12 [62]

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

5 0
2 years ago
Question On picture 100 points please help
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Answer:

B is a table and the x-axis is 12 as the area

Step-by-step explanation:

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What is the arc measure of BAD on circle P in degrees?
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Answer:

244

Step-by-step explanation:

74+42=116

360-116=244.

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3 years ago
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They give you the same answer it just that one has parenthesis and the other one doesn't.
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