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1 year ago

Find the midpoint of the segment with the following endpoints. (5, 5) and (10, 1)

Mathematics

1 answer:

irga5000 [103]1 year ago

6 0

Answer:

(7.5,3)

Step-by-step explanation:

( (x_1 + x_2)/2, (y_1 + y_2)/2 ) <--Midpoint formula

(5,5) and (10,1) are where you take the x and y values from. The x_1 and y_1 values come from (5,5) and x_2 and y_2 from (10,1).

this gives you ( (5+10)/2, (5+1)/2 )

=( 15/2, 6/2 )

=(15/2, 3)

= or (7.5, 3)

Both bold answers equal the same thing, just depends on if your teacher is asking for it in mixed number form or decimal form.

By the way, I realize it's confusing so the _ is just to show that the following number would be subscript (brainly won't let me show it, so I suggest searching it online if you are still confused..)

Hope this helps!

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Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

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

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

5 0

2 years ago

What is 1 1/2 minus 1/4

vfiekz [6]

1 1/2 - 1/4
You have to have a common denominator which is 4 in this istance.
That makes it 1 2/4 - 1/4. That equals 1 3/4.

Hope that this helped! :)

8 0

3 years ago

Read 2 more answers

How to convert m into mm

ArbitrLikvidat [17]

Answer:

Multiply value in mm by 1000

Step-by-step explanation:

For example, 3m = (3 * 1000)mm

= 3000mm

3 0

3 years ago