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9966 [12]
3 years ago
12

How do i write an equation in vertex form?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

1) Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

2) The vertex of a parabola is the point at the top or bottom of the parabola.

3) 'h' is -6, the first coordinate in the vertex.

4) 'k' is -4, the second coordinate in the vertex.

5) 'x' is -2, the first coordinate in the other point.

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Petra jogs 3 miles in 30 minutes at this rate how long would it take a jog 10 miles​
bazaltina [42]

Answer:

100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

3 miles in 30 minutes means 1 mile in 10 minutes

10 miles takes 100 minutes or 1 hour and 40 minutes.

7 0
3 years ago
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Identify the variable expression that is not a polynomial.
Blababa [14]
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Use the definition of the derivative to differentiate v=4/2 pie r^3
nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0
3 years ago
Can someone please help me with comparing function
Minchanka [31]
Understand that a function<span> is a rule that assigns to each input exactly one output. The graph of a </span>function<span> is the set of ordered pairs consisting of an input and the corresponding output.</span>
8 0
3 years ago
(x+40)(x+40) show steps
pishuonlain [190]

(x + 40) * (x + 40) =

(x + 40)² =

x² + 80x + 1600

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3 years ago
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