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Readme [11.4K]
2 years ago
12

What is the vertex of f(x)=x^2+12x=31

Mathematics
1 answer:
Ket [755]2 years ago
3 0

Answer:

x

=

±

√

5

−

6

Decimal Form:

x

=

−

3.76393202

…

,

−

8.23606797

…

Step-by-step explanation:

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9. Identify the correct property being shown.
BaLLatris [955]

Answer:

-16.4, (commutative property)

Step-by-step explanation:

(add, because they are both negatives) -5.2+(-8.4)= -13.6

Then add the (-2.8): -13.6 + (-2.8) = -16.4

Thats your first equation!!!

do the same thing for the other one, and by the way it the same answer.

Its commutative prop because its just switching positions and its adding negatives.

4 0
2 years ago
Read 2 more answers
The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
mixas84 [53]

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

3 0
2 years ago
A six sided die is rolled three times. Find the probability that the result is an even number for every roll.
bogdanovich [222]

|\Omega|=6^3\\|A|=3^3\\\\P(A)=\dfrac{3^3}{6^3}=\left(\dfrac{3}{6}\right)^3=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}=12.5\%

4 0
2 years ago
The formula for the nth squaresquare number is Upper S Subscript n Baseline equals n squaredSn=n2. Use the formula to find the 9
AURORKA [14]

Answer:

9801

Step-by-step explanation:

Given the general term for calculating the nth term of a sequence;

Sn = n²

Where n is the number of terms.

To find the 99th term of the sequence using the nth term of the sequence;

Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;

S99 = 99²

S99 = 9,801

7 0
3 years ago
Can someone understand this? 2 3 and 4 plz
Sholpan [36]
Yes, I know these problems!
8 0
3 years ago
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