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FrozenT [24]
3 years ago
15

Find the vertex of the function given below y=x^2-2x+1

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Hey there! :)

Answer:

(1, 0).

Step-by-step explanation:

Convert from standard form to vertex form by completing the square:

y = x² - 2x + 1

Move 1 to the other side:

-1 = x² - 2x

Complete the square. Remember to add to both sides:

-1 + (1) = x² -2x + 1

Simplify:

0 = (x - 1)²

The function in vertex form is:

y = (x - 1)²

Therefore, the vertex is:

(1, 0).

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Where y=5x-7 and -3x-2y=-12 Write your answer as x,y
Mariulka [41]

Answer:

(x,y) = (2,3)

Step-by-step explanation:

y=5x-7                  (i)

-3x-2y= -12          

-(3x+2y)= -12

3x+2y= 12            (ii)

By putting the value of y from (i) in (ii)

3x+2(5x-7)=12

3x+10x-14=12

13x=12+14

13x= 26

x = \frac{26}{13}

x= 2

By putting the value of x in (i)

y= 5(2)-7

y= 10-7

y= 3

(x,y) = (2,3)

5 0
2 years ago
I need help for brainliest
devlian [24]

Answer:

<h2><u><em>46 cm²</em></u></h2>

Step-by-step explanation

the figure is composed of a square with an isosceles right triangle inside, we find the area of ​​the square and we take away the area of ​​the triangle.

Triangle area = lxl, right-angled triangle area side by side divided by two.

  • square area

8 * 8 = 64cm²

  • Triangle area

6 * 6 : 2 = 18 cm²

Area of the shaded region

64 - 18 = 46 cm²

7 0
2 years ago
Plz help me I don’t get this
skelet666 [1.2K]
3/4 x 1/3 equals 1_12
6 0
3 years ago
Which is a true statement?
erastova [34]
A. because the lease amount of negative is actually more. if that makes any sense
4 0
3 years ago
Write the slope-intercept form of the equation of the line described.
yarga [219]
The equation for a line is y=mx+b

m is the slope, so when a line is perpendicular to another line is has a slope which is an opposite reciprocal, so change the -1/2 (the slope of the other line) to 2/1 or just 2

so m=2

now you need to plug in the point they give you for x and y 

y=mx+b
4=2(4) + b
simplify
4=8 + b
subtract 8 over
-4 = b 

now that you know that slope (m) and the y-intercept (b) you can plug those two numbers into the original equation for the answer

y= 2x -4
7 0
3 years ago
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