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3 years ago

Which of the following statements are true regarding functions?

Mathematics

1 answer:

butalik [34]3 years ago

7 0

Answer:

Step-by-step explanation:

The vertical line test, can be done with a pencil, and it's very simple. You run the object in a vertical position, horizontally across the graph, and if it hits two points on the same Y-Axis, your function is actually a relation, since functions are not allowed to have two coordinates on the same line.

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An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile

Shtirlitz [24]

First you have to figure out the length of the track:

$2 * \pi * r$

r is the half of the diameter:
200ft : 2 = 100ft

$2* \pi *100ft$ = 200 $\pi$ ≈ 628,31

The athlete has to run ca. 5280ft for one mile:

5280 : 628,31≈8,4

The athlete has to run 8,4 laps

3 0

3 years ago

Need to write steps and solve thanks

nalin [4]

Answer:

The coordinates of endpoint V is (7,-27)

Solution:

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$

As per the formula, $\frac{x_{1}+x_{2}}{2}$ =5, $\frac{y_{1}+y_{2}}{2}$ =-11

Here $x_{1}=3; y_{1}=5$

Substituting the value of $x_{1}$ we get,

$\frac{3+x_{2}}{2}$ =5

$3+x_{2}=5\times2$

$x_{2}=10-3$

$x_{2}=7$

Substituting the value of $x_{2}$ we get,

$\frac{5+y_{2}}{2}$ =-11

$5+y_{2}=-11\times2$

$y_{2}=-22-5$

$y_{2}=-27$

So, the coordinates of V is (7,-27)

7 0

3 years ago

Consider the formula for the slope between two coordinate points, m, shown below. Which of the following equations is equivalent

o-na [289]

Answer:

Answer is A

Step-by-step explanation:

$m = y2 - y1 \div x2 - x1 \\ y2 = m(x2 - x1) + y1$

6 0

3 years ago

What is the absolute value of 1/2?

harina [27]

The Absolute Value of a number is "the magnitude of a real number without regard to its sign". So the Absoulute Value of 1/2 is |1/2|

7 0

3 years ago

Find the area of the shaded region

ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0

3 years ago