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GREYUIT [131]
3 years ago
14

Create a line segment that is exactly 10 units in length and has a midpoint of (-3,4)

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:  A segment AB with Endpoints A (-8, 4) and B (2,4) is a horizontal line segment with (-3,4) as the midpoint.

A segment CD with endpoints C(-3,9) and D(-3,-1) will create a vertical line segment with (-3,4) as the midpoint.

A line segment FG with endpoints F (-6,0) and G(0,8) is a diagonal line with a slope of 4/3 and its midpoint is (-3,4)

Step-by-step explanation: For a horizontal or vertical line segment, choose the x-value or the y value of the midpoint. subtract 5 to get the lower endpoint, add 5 to get the higher endpoint. Keep the other coordinate the same.

The diagonal line segment is based on the hypotenuse of a triangle with side lengths corresponding to the Pythagorean Triple 3,4,5  Add and subtract 3 to the x-value od the midpoint, add and subtract 4 to the y value of the midpoint and the hypotenuses will extend 5 units in both directions from the midpoint.

Maybe TMI, bit I am hoping to earn a Brainliest.

You might be interested in
The triangular base of the given prism has an interior angle with a measure of 80° and an interior angle with a measure of 55°.
Tju [1.3M]

Answer:

A. 45°

Step-by-step explanation:

When we are given two measurements of interior angles we add both of those angles together.

Also know that a triangle equals 180 degrees

So when we write out this expression     80+55+x=180

135+x=180\\-135=-135\\x=45

Hope this helps

6 0
2 years ago
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s n
zubka84 [21]
<h3>Answer: No it is not possible</h3>

=====================================================

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

------------------------

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from  {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

3 0
3 years ago
The length, width and height of a rectangular prism is given as 15 cm, 10
aliina [53]

Answer:

Its option C

Step-by-step explanation:

to find the volume you multiply the length, width and height together.

7 0
3 years ago
Read 2 more answers
5. Let's factorize the following numbers and express in exponential form<br>16<br>​
timama [110]

Answer:

2^4

Step-by-step explanation:

16 = 2x2x2x2 = 2 to the power of 4

7 0
3 years ago
Read 2 more answers
Which points are solutions
Liula [17]
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers. 

Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)

y < 4
-1 < 4 (TRUE)

x < 6 
1 < 6 (TRUE)

Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)

y < 4
2 < 4 (TRUE)

x < 6 
5 < 6 (TRUE)

Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)

y < 4
-2 < 4 (TRUE)

x < 6 
4 < 6 (TRUE)
3 0
3 years ago
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