Kelsey starts downloading a file. After 44 seconds, her computer says "40% of the file has downloaded."

Find The T value for point that splits segment EF in half if point E is located at (5,-2) and point F is located at (-1,3).

Tanzania [10]

The formula of a midpoint between two points:

$M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have:

$(5,\ -2)\to x_1=5,\ y_1=-2\\\\(-1,\ 3)\to x_2=-1,\ y_2=3$

Substitute:

$\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{-2+3}{2}=\dfrac{1}{2}$

Answer: $T\left(2,\ \dfrac{1}{2}\right)$

4 0

3 years ago

The table shows the cost of downloading songs.

Sonbull [250]

Answer:

Step-by-step explanation:

rate of change=cost per song

so the first option

3 0

3 years ago

The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins th

yanalaym [24]

The length of the third side is 4 7step-by-step the explanation- the perimeter of a triangle is 16 to the square root of 7 feet.

7 0

2 years ago

(a) It takes the Earth 365 days to complete a full orbit around the sun. It takes Jupiter approximately 4,332 days, 14 h, and 9

kogti [31]

1 year = 365 days.

1 day = 24 hours.

1 hour = 60 minutes.

First convert the hours and minutes in Jupiter orbit to days:

14*60 = 840 +9 = 849 minutes.

849 / 60 = 14.15 hours.

14.15 / 24 = 0.59 days.

Jupiter's orbit is 4332.59 days.

Now divide that by 365 for the number of years:

4332.59 / 365 = 11.87 years.

5 0

3 years ago

H(x) = x3 + 7<br> Determine whether the function is one-to-one.

zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

passes the vertical line test to make sure it is indeed a function, and

also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

$h\left(x\right)\:=\:x^3\:+\:7$

Have a look at the attached graph.

The red portion represents the graph of the function $h\left(x\right)\:=\:x^3\:+\:7$ .

The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is indeed a function.

The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

6 0

3 years ago