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3 years ago

8

A linear function r models the growth of your right index fingernail. The length of the fingernail increases 0.7 millimeters eve

ry week . Graph r when r (0)=12. Identify the slope and interpret the y- intercept.

1 answer:

sweet [91]3 years ago

3 0

The starting length of the finger nails is 12mm.

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Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

prohojiy [21]

Answer:

$x^2 + y^2 = 52$

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ and radius r has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at the origin;

This means that $x_0 = 0, y_0 = 0$

So

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - 0)^2 + (y - 0)^2 = r^2$

$x^2 + y^2 = r^2$

Passes through (4, 6)

The radius is the distance from this point to the center. So

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r = \sqrt{(4-0)^2+(6-0)^2}$

$r = \sqrt{16+36}$

$r = \sqrt{52}$

So

$r^2 = 52$

Then

$x^2 + y^2 = r^2$

$x^2 + y^2 = 52$

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3 years ago

F(x)=-4x - 5 g(x)=3x - 2 Find( f - g )(x)

jok3333 [9.3K]

#1 is 12x² -15x

#2 is fx-9x

4 0

3 years ago

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HELP me please! Please I really need it!

Crank

Answer:

The radius is 6.1 cm

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

There is a typo in the problem.

We know the volume

950 = 4/3 (3.14) r^3

Multiply each side by 3/4

3/4 *950 = 3.14 r^3

712.5 = 3.14 r^3

Divide each side by 3.14

712.5/3.14 = r^3

226.910828 = r^3

Take the cube root of each side

226.910828 ^ (1/3) = r^3 ^ 1/3

6.099371323 = r

The radius is 6.1 cm

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3 years ago

Suppose you want to factor the expression x ^ 2 + 2xn + n ^ 2 Given that n > 0 , what are the factors? Explain.

Vlada [557]

Step-by-step explanation:

x2 + 2xn + n2

x2 + xn + xn + n2

x(x + n) + n (x + n)

So (x + n)^2 is the factor

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I think that Alexa runs 50 yards. 100 + 50 = 150

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