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Alinara [238K]
3 years ago
9

5. Write x^2 + 8x = -4y - 8 in standard form. Identify the vertex, focus, axis

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data

                                             x² + 8x = -4y - 8

                                             x² + 8x + 16  = -4y - 8 + 16

                                             x² + 8x + 16  = -4y + 8

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

                                             (x + 4)² = 4(-1)(y - 2)

Vertex = (-4, 2)

p =  1

Focus = (-4, 1)

Axis of symmetry  x = -4

Directrix      y = 3

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the temperature in Nico's town was -2.9 f at noon . the temperature increased at a steady rate of 1.3 f per hour until 6:00p.m.
kotykmax [81]
Temperature at noon: Tn=-2.9 f
Rate: r=+1.3 f/h
Total decreased: d=-3.7 f 
Temperature at midnight: Tm=?

Tm=Tn+r(6 p.m.-12 m)+d
Tm=-2.9 f+(1.3 f/h)(18 h-12 h)+(-3.7 f)
Tm=-2.9 f+(1.3 f/h)(6 h)-3.7 f
Tm=-2.9 f+7.8 f-3.7 f
Tm=1.2 f

Answer: T<span>he temperature at midnight was 1.2 f</span>
6 0
3 years ago
Which of the following is NOT a monomial?
Sergio [31]
<span>3m + n is not a monomial since it is a binomial</span>
6 0
3 years ago
Liz simplified the expression 5x - 3(4 - x) and got 2x -12. Did she simplify the expression correctly? Explain how you know.
Orlov [11]

Answer:

Step-by-step explanation:

Incorrect. She forgot to change the sign while distributing.

5x - 3(4-x) = 5x - 12 + 3x = 8x - 12

5 0
3 years ago
Find the slope and y-intercept of the graph of 4x-3=36
Oxana [17]

Answer: Slope is undefined or aka infinity, and there is no y-intercept

<u>Step-by-step explanation:</u>

Using Slope-Intercept Form to find the slope and the y-intercept.

First, lets change 4x-3=36 into y=mx+b. When you change it into this form you'll see that it can't go into intercept form because x=39/4 and is a vertical line so the slope is undefined or aka infinity, and there is no y-intercept.

Hope this helps! Have a nice day! ❤

- Cutiepatutie

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Graph g(x) = 3x^2 - 12x - 3
Paul [167]

Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

      = \dfrac{4}{2}

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

       = 0  - 0 - 3

       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


5 0
3 years ago
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