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Anna71 [15]
3 years ago
9

Hi! What is y = x^2 -4x +5 vertex form? Please explain how you got this answer. Thanks! :)

Mathematics
2 answers:
Anarel [89]3 years ago
8 0

{x}^{2}  - 4x + 5 = 0 \\  {x}^{2}  - 4x =  - 5 \\   \\  { (\frac{b}{2} )}^{2}  = ( \frac{ - 4}{2} ) = ( { - 2})^{2}  = 4 \\  {x}^{2}  - 4x + 4 =  - 5 + 4 \\  {(x - 2)}^{2}  =  - 1 \\  {(x - 2)}^{2}  + 1
The last line is in vertex form, and can see the vertex is located at (2,1).
alekssr [168]3 years ago
5 0
You need to do y=a(x-h)2 +k  but your vertex is ( 2,1)
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PLZZZ HELP ME IT WILL BE QUICK
sineoko [7]

Answer:

2i x 1.50b

Step-by-step explanation:

4 0
3 years ago
16 increased by twice a munber is -24
dangina [55]
We can form this algebraic equation to work the equation out:

16 + 2x = -24
2x = -40
x - 20

Hope I helped.
8 0
3 years ago
I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

6 0
1 year ago
Find the value of y. Round your answer to the nearest tenth.
ss7ja [257]
I think its supposed to be divide so i think C. would be the answer

7 0
3 years ago
Read 2 more answers
1. Find the Least Common Multiple of these two monomials:<br> See picture
gtnhenbr [62]

Answer:

<em>The last choice is correct</em>

<em />LCM=120a^4b^7c^5<em />

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

12a^4b^2c^5

40a^3b^7c^1

The prime factors of the first monomial are:

2^2,3,a^4,b^2,c^5

The prime factors of the second monomial are:

2^3,5,a^3b^7c^1

LCM = Multiply 2^3*3*5*a^4*b^7*c^5

These are all the factors the greatest number of times they occur.

Operating:

LCM=8*15*a^4*b^7*c^5

\boxed{LCM=120a^4b^7c^5}

The last choice is correct

3 0
3 years ago
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