All categories

3 years ago

What is the midpoint of the segment shown below?

Mathematics

1 answer:

adell [148]3 years ago

3 0

Answer:

(6,3)

Explanation

On the x part of the point, you need to find the mean of 10 and 2 which is 6. On the y part of the point, you need to find the mean of 3 and 3 which is 3.

Thus, the point is (6,3)

You might be interested in

9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [

stira [4]

Answer:

y=2x-10

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.

Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

2 - -4

6 - 3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

3 0

3 years ago

If an injectable solution contains 25μg of a dug substance in each 0.5 mL, how many milliliters would be required to provide a p

Kay [80]

Answer:

5mL would be required to provide a patient with 0.25 mg of the drug substance.

Step-by-step explanation:

The problem states that an injectable solution contains 25μg of a dug substance in each 0.5 mL, and asks how many milliliters would be required to provide a patient with 0.25 mg of the drug substance.

So, the first step is the conversion of 25ug to mg, since the problem asks the answer in mg.

Each mg has 1000ug. So

1mg - 1000ug

xmg - 25ug

1000x = 25

$x = \frac{25}{1000}$

x = 0.025 mg

It means that each 0.5mL of the solution contains 0.025mg of the drug. How many milliliters would be required to provide a patient with 0.25 mg of the drug substance.

0.5mL - 0.025mg

xmL - 0.25mg

0.025x = 0.5*0.25

$x = \frac{0.5*0.25}{0.025}$

x = 10*0.5

x = 5mL

5mL would be required to provide a patient with 0.25 mg of the drug substance.

6 0

3 years ago

Which value, when multiplied by 5/16 results in a product of 1?

Sidana [21]

Multiply it by 16/5, or the reciprocal

6 0

3 years ago

67?96 A.> B.not equal to C.= D.less that or equal to E.< F. greater than or equal to choose all that apply please.

slega [8]

B because 67 is not equal to 96
E because 67 is less than 96

6 0

3 years ago

[02.06]

Tresset [83]

-13>-5x+2>-28 subtract 2 from all expressions

-15>-5x>-30 divide each expression by -5

Be sure to reverse direction of signs when you divide/multiply by a negative value!

3<x<6

So the "graph" will be a infinitely high plane, or area, contained between the two vertical lines x=3 and x=6

6 0

4 years ago

Read 2 more answers