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dmitriy555 [2]
3 years ago
5

Need help with this...

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

asfvbrgterwgwertbewgrq3geqgrewrgergergfergewrg

Step-by-step explanation:

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The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that
Tju [1.3M]

Answers:

h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

x = -\frac{b}{2a}

For example, if we had the quadratic y = 3x^2-6x+5, then we'll plug in a = 3 and b = -6 to get: h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\

k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\

It's interesting how we end up with the numerator of -b^2+4ac which is similar to b^2-4ac found under the square root in the quadratic formula. There are other ways to express that formula above. We need a \ne 0 to avoid dividing by zero. The values of b and c are allowed to be zero.

7 0
3 years ago
What is the LCD of 18 and 24?
Naily [24]
If you mean lowest common mutiple, then the answer is 72.
18×4=72
24×3=72
5 0
4 years ago
1/2 of n decreased by 8
Sergeu [11.5K]

Answer:

1/2n - 8

Step-by-step explanation:

1/2 of n  means 1/2n

decreased by 8 means subtract 8

1/2n - 8

7 0
3 years ago
Read 2 more answers
While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and th
netineya [11]
H=9;8)B=(5;4) (ball)R=(7;0) (hit point)B'=symetric of B axis perpendicular of x in RB'=(7+(7-5);4)=(9;4)Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14
Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 
no, you will not make your putt.

I hope this helps you and have a great day!! :)

6 0
3 years ago
Find the total volume of the figure below of 2 cylinders
AleksandrR [38]

Answer:Use the calculator above to calculate height, radius or volume of a cylinder. Enter any two values and the missing one will be calculated.

Step-by-step explanation: I dont know

4 0
3 years ago
Read 2 more answers
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