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Virty [35]
3 years ago
8

Write the quadratic function in standard form. y=2(x - 3)² +9

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

<u>Step 1:  Distribute the power</u>

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

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Convert to standard form.<br> y-5=-3(x+2)​
Paul [167]

Answer:

Step-by-step explanation:

y-5=3(x+2)

y-5=3x+6

y-5-6=3x+6-6

y-1=3x

7 0
4 years ago
What is the value of x?
ASHA 777 [7]
The answer is 20

the scale factor is 1.25 (to find that out do 12.5/10) then multiply 16 by 1.25 and you get 20.
7 0
3 years ago
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Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)
yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

y=mx+b

We have to find the slope first

m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}

Putting the value of slope

y = \frac{1}{2}x+b

To find the value of b, putting (12,1) in the equation

1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5

Putting the values of m and b

y =\frac{1}{2}x-5

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

8 0
3 years ago
Help me plz I don't understand math today?
Natasha2012 [34]

Answer:

C-42

B-156

A-66

Step-by-step explanation:

Now I'm not a 100% sure on this but I'm pretty confident.

The easiest on to find was C because on the opposite side was 24 so the side we are working with must equal 24. In order to find the answer I did 24 + 18 and got 42. That means C = 42.

The next one I found was B. A straight line is 180 degrees so I subtracted 24 from 180 and got 156.

Finally I found A. This was considerably the quickest on to find for me because of all the other measurements I found and the 90 degrees beside the A. I subtracted 90 from the already found 156. I got 156 because if you take out the 90 degree line it would be a mirror image of B. Once I subtracted 90 from 156 I got 66 as my answer.

4 0
3 years ago
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What is the probability of getting a rose on a Lotus plant is​
mylen [45]
I think it is 1 as no.of plant is 1 and no.of rose is also 1
3 0
3 years ago
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