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Genrish500 [490]
3 years ago
14

Whats the vertex form of y=x^2-20x+15

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0
This looks like a parabola so:
y=x^2 - 20x + 15  -->  x^2 - 20x +15=y
(x^2 -20x)=y - 15  -->  (x - 10)^2=y - 15 +100  ( used complete the square)
(x - 10)^2=y + 85

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Y+2=-3(x-4)<br> Find the missing value in the solution to the equation. ( , -2)
koban [17]

Answer:

(4,-2)

Step-by-step explanation:

plug in and simplify;

y+2=-3(x-4)

-2+2=-3(x-4)

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7 0
2 years ago
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Classify each conic section and write its equations in standard form. Show work.
svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

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 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

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then the graph is a hyperbola.  

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* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

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* The standard form of the ellipse is

  (x - h)²/a² + (y - k)²/b² = 1

- Lets try to make this form from the general form

- Group terms that contain the same variable, and move the

  constant to the opposite side of the equation

∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

# To make completing square

- Divide the coefficient  of x (or y) by 2 and then square the answer

- Add and subtract this square number and form the bracket of

 the completing the square

# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

- Rewrite as perfect squares ⇒ 4(x -1)² - 4

# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

- Rewrite as perfect squares ⇒ 2(y + 4)² - 32

∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
2 years ago
During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour baby
almond37 [142]
X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
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a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.


7 0
3 years ago
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Sorry I don’t know the answer is just needed a point to get my question answered
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