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3 years ago

Complete the square to rewrite y = x2 - 6x + 3 in vertex form. Then state

Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² - 6x + 3

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 3

= (x - 3)² - 6 ← in vertex form

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 > 0, thus

(3, - 6 ) is a minimum

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Pleas help!!!! Brainliest and points!!

andreev551 [17]

Answer:

Step-by-step explanation:

Hi!

Here is the formula for point slope form: y-y1=m(x-x1)

Our slope in this case is 5, and our points are (1, 9). 1(x1) and 9(y1)

So, if we substitute our given data into the formula, here is what we will get.

y-9=5(x-1)

Thus, our answer should be:

y-9=5(x-1)

I hope this helps!

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2 years ago

Read 2 more answers

Select the equation that most accurately depicts the word problem. One-half of a certain number is 95.

Anastaziya [24]

Answer:

you would only need to add or multiply the numbers

Step-by-step explanation:

some of the equations could be-

95+ x =190

95 x 2 =190

x / 2 = 190

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3 years ago

Write the first five terms in the sequence. NEXT = NOW + 13, starting at –84

8090 [49]

Answer:

-84, -71, -58, -45, -32, -19

Step-by-step explanation:

3 0

3 years ago

1 2/5m-3/5(2/3m+1) How do you solve this problem

igor_vitrenko [27]

Step-by-step explanation:

I am not sure what you mean by "solve".

I assume you mean simplify the expression.

and then it is very tricky to find the true original expression the way you typed it.

I think you meant

1 2/(5m) - 3/(5(2/(3m + 1)))

1 = 5m/5m

1 2/(5m) = (5m+2)/5m

3/(5(2/(3m + 1))) = 3/(10/(3m + 1)) = 3/1 / (10/(3m + 1))

when dividing by a fraction, it is the same as multiplying with the upside-down fraction

so, this is the same as

3/1 × (3m + 1)/10 = (3(3m + 1)) / (10×1) = (9m + 3)/10

this would give us in total

(5m + 2)/5m - (9m + 3)/10

to do the subtraction we need to bring both fractions to the save denominator (lower part).

it seems to me the easiest one would be 10m.

so,

2×(5m + 2)/10m - m×(9m + 3)/10m =

= (10m + 4)/10m - (9m² + 3m)/10m =

= (10m + 4 - 9m² - 3m)/10m = (-9m² + 7m + 4)/10m

if we want to transform this back to a sum of fractions :

4/10m - (9m² - 7m)/10m = 2/5m - (9m - 7)/10

5 0

2 years ago

How to draw a locus of point D

allsm [11]

To draw a locus point you have to draw the half way line through the two points. You can do this by drawing the line bisector through AB points. Just open your compass to ¾ of the distance AB and then draw two arcs from both sides of your line. Once this is done draw the line passing through the two intersection points.

Hope this helps :)

4 0

3 years ago