the diameter of the sphere is 7 inches. What is the circumference of a cross section through the center of the model?

In class, Julie was asked to create a scenario for the linear function shown. She came up with the following: .Joe planned a hik

Law Incorporation [45]

Answer:

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

Step-by-step explanation:

If Joe parked 12 miles away from the cabin and after one hour, he was still 7 miles from the cabin, then he had walked 12 - 7 = 5 miles per hour.

The initial positon of Joe is at point (0,12) (after 0 hours passed, Joe was 12 miles from the cabin). The line must pas through the point (1,7) ( after one hour, he was still 7 miles from the cabin ).

Find the slope:

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-12}{1-0}=-5$

So, the slope of the linear function should be -5 (not -3).

Then the equation of the function is

$f(x)=-5x+12$

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

5 0

3 years ago

Anthony Chen's father is going to put a tile border around

Levart [38]

Answer: 12

Step-by-step explanation:

One yard is three feet. So three times four is 12 because it makes four yards in total with each side being a yard.

3 0

3 years ago

Which quadratic equation has the roots -1+4i and -1-4i

AysviL [449]

Answer:

C

Step-by-step explanation:

Solve the quadratic in answer choice C using the quadratic formula:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ .

Here a=1, b=2, and c=17.

Substitute and you'll have:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-2+/-\sqrt{(-2)^2-4(1)(17)} }{2(1)}=\frac{-2+/-\sqrt{4-68}}{2)}$

$\frac{-2+/-\sqrt{-64} }{2}=\frac{-2+/-8i }{2}=-1+/- 4i$

6 0

3 years ago

Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan

LiRa [457]

Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por $x^{2}+y^{2}-49 = 0$ .

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

$(x-h)^{2}+(y-k)^{2} =r^{2}$ (1)