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OlgaM077 [116]
3 years ago
8

Use symmetry to graph the inverse of the function.

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Answer:


Step-by-step explanation:

So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.

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James states that quadrilateral
mr_godi [17]

Using the distance formula,

AD=\sqrt{(-1-3)^{2}+(-3-(-4))^{2}}=\sqrt{17}\\\\BC=\sqrt{(5-9)^{2}+(1-0)^{2}}=\sqrt{17} \\\\\therefore \overline{AD} \cong \overline{BC}

AB=\sqrt{(-1-5)^{2}+(-3-1)^{2}}=\sqrt{52}=2\sqrt{13}\\\\CD=\sqrt{(9-3)^{2}+(0-(-4))^{2}}=\sqrt{52}=2\sqrt{13}\\\\\therefore \overline{AB} \cong \overline{CD}

Since ABCD has two pairs of opposite congruent sides, it is a parallelogram.

3 0
2 years ago
Your friend enters a contest to see how many seconds they can stay standing on on a beam without falling off. The first day they
Rom4ik [11]

Answer:

Step-by-step explanation:

So this is an exponential equation because it is doubling each day.

So you will first determine the equation f (x)

6 0
3 years ago
A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?
Leona [35]

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

6 0
3 years ago
What is the vertex of y=x^2+4x+3
AnnyKZ [126]

Answer:

(-2, -1)

Step-by-step explanation:

This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.

The x-coordinate of the vertex is given by the formula

        -b                                                                         -4

x = --------- which here has the numerical value x = -------- = -2

        2a                                                                           2

Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:

y = (-2)^2 + 4(-2) + 3 = -1

The vertex is at (-2, -1).

7 0
3 years ago
The standard formula for the volume of a cone is V=πr2h3. If the cone is scaled proportionally by a factor of k, its volume beco
DaniilM [7]

The volume of a cone with base radius <em>r </em>and height <em>h</em> is

V = \frac 1 3 \pi r^2 h

What happens when we scale by <em>k </em>?

Let <em>V'</em> be the volume of a cone with radius <em>rk</em> and height <em>hk</em>

V' = \frac 1 3 \pi (rk)^2 (hk) = \frac 1 3 \pi r^2 k^2 h k = k^3 (\frac 1 3 \pi r^2 h) = k^3 V

8 0
3 years ago
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