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Flura [38]
2 years ago
9

Y = x² - 4x convert from standard to vertex form​

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

Answer:

y = (x-2)^{2} -4

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so 2^{2}

y +  ? = x^{2} - 4x + ?

y +  2^{2} = x^{2} - 4x + 2^{2}

y + 4 = x^{2} - 4x + 4

Now we can factor the expression

y + 4 = (x-2)^{2}

Move the 4 to the other side to isolate y which changes the sign

y = (x-2)^{2} - 4  

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What is the slope of the line of (1,0) and (-1,-3)
Alinara [238K]

Slope formula: m = \frac{(y2-y1)}{(x2-x1)} (Knowing that m represents the slope)

Substitute (1,0) for (x1,y1), and (-1,-3) for (x2,y2)

Slope of the line of (1,0) and (-1,-3) is:

m = \frac{(-3-0)}{(-1-1)} = \frac{-3}{-2} = \frac{3}{2}  

(Simplify)

Slope of the line of (1,0) and (-1,-3) is \frac{3}{2}

6 0
3 years ago
Whats equivalent to 1/5
Juli2301 [7.4K]
To find equivalent numbers you multiply the top and bottom by the same number. Examples are: 2/10 (by 2), 3/15 (by 3), 4/20 (by 4), etc.

1 * 9 = 9
------------
5 * 9 = 45

So another is 9/45

hope it helps!
5 0
3 years ago
identify a two-digit dividend that will result in a quotient with a remainder 1 when the divisor is 4
Afina-wow [57]
17, 21, 25, etc. because when you divided 4 by any of these numbers you will get your answer with a remainder of 1. For example, 17/4 is 4 R.1 because 4 times 4 is 16, then you will have one left over. (At my school you always go to a decimal not a remainder) 
3 0
3 years ago
-(1+7x)=6(-7-x)+36 <br> Alg 2
olganol [36]

Let's solve your equation step-by-step.

−(1+7x)=6(−7−x)+36

Step 1: Simplify both sides of the equation.

−(1+7x)=6(−7−x)+36

−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)

−7x+−1=−42+−6x+36

−7x−1=(−6x)+(−42+36)(Combine Like Terms)

−7x−1=−6x+−6

−7x−1=−6x−6

Step 2: Add 6x to both sides.

−7x−1+6x=−6x−6+6x

−x−1=−6

Step 3: Add 1 to both sides.

−x−1+1=−6+1

−x=−5

Step 4: Divide both sides by -1.

−x

−1

=

−5

−1

x=5

Answer:

x=5

7 0
3 years ago
Find the value of y for the given value of x.<br><br> y=2−9x;x=23
Morgarella [4.7K]

Y= -205

Step-by-step explanation:

Y=2-9x x=23

Y=2-9(23)

Y=2-207

Y= -205

4 0
3 years ago
Read 2 more answers
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