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Gemiola [76]
3 years ago
11

Help on one last question! :D

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
A. -2/5 go down 2 so it's -2 and then over 5 -2/5
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Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
enot [183]

Answer:

y = (x - 3)^2 - 12

(3,-12)

Step-by-step explanation:

Given

y = x^2 - 6x - 3

Solving (a): In vertex form

The vertex form of an equation is:

y = a(x - h)^2 + k

To do this, we make use of completing the square method.

We have:

y = x^2 - 6x - 3

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

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

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

y = x^2 - 6x - 3

y = x^2 - 6x + 9 - 9 - 3

y = x^2 - 6x + 9 - 12

Factorize x^2 - 6x + 9

y = x^2 - 3x-3x + 9 - 12

y = x(x - 3)-3(x - 3) - 12

Factor out x - 3

y = (x - 3)(x - 3) - 12

Express as squares

y = (x - 3)^2 - 12

Hence, the vertex form of y = x^2 - 6x - 3 is: y = (x - 3)^2 - 12

Solving (b): State the coordinates of the vertex.

In y = a(x - h)^2 + k; the vertex is: (h,k)

The vertex of y = (x - 3)^2 - 12 will be (3,-12)

3 0
2 years ago
WILL MAKE THE BRAINLIEST!
mojhsa [17]

Answer:

A. (x,y) → (x-5,y-3)

Step-by-step explanation:

That's the answer

7 0
3 years ago
Please help me with this question!!
Verdich [7]

Answer:

y is 8

Step-by-step explanation:

since this is a 30 60 90 triangle side a is x sqrt3 side b (which is y) is x and side c is 2x. since side c is 16 you divide by two or 16/2x and find x which 8 and since x is 8 and c is two times side b ur answer is 8 my friend

8 0
2 years ago
Read 2 more answers
Can yall please help me
Doss [256]

Answer:

\frac{1}{12}

Step-by-step explanation:

\frac{1}{3} ÷ 4 = \frac{1}{3} x \frac{1}{4} = \frac{1}{12}

When you have a fraction divide a number, you need to multiple it's reciprocal

6 0
2 years ago
Read 2 more answers
Divide ( - 3 z 2 – 15z )÷<br> (<br> z<br> +<br> 5<br> )
blondinia [14]
Factor the numerator to get:

(-3z(z+5))/(z+5)  now you notice that (x+5) cancel out leaving:

-3z
4 0
3 years ago
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