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____ [38]
3 years ago
12

using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (20,-15) and (-11,-10)​

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

(9/2, -25/2)

Step-by-step explanation:

The Midpoint Formula:  The midpoint of the segment joining points (x_1,\,y_1) and (x_2,\,y_2) is \left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right).

\left(\frac{20+(-11)}{2},\,\frac{-15+(-10)}{2}\right)

(\frac{9}{2},\,-\frac{25}{2})

By the way, instead of trying to memorize the formula, why not just think the x-coordinate of the midpoint is the average of the x-coordinates of the points. The y-coordinate of the midpoint is the average of the y-coordinates of the points.

The average of two numbers is exactly halfway between them!

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5 0
3 years ago
Read 2 more answers
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
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Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
olchik [2.2K]

Hello there! The solution of your question has been given below.

<h3>Solution:</h3>

{6}^{ - 2}  \\  = ( \frac{1}{6} ) ^{2}  \\  =  \frac{ {1}^{2} }{ {6}^{2} }  \\  =  \frac{1}{36}

<h3>Answer:</h3>

Option B.

\frac{1}{36}

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HELP?! PLEASE! IM ON THE VERGE OF TEARS! 10 cm^3 of a normal specimen of human blood contains 1.2 g of hemoglobin. How many gram
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Use a proportion:


10 cm^3 / 1.2 grams = 22 cm^3 / x

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4 years ago
-b/2a where a=4and b = -5
Genrish500 [490]
Plug In The Values.
-(-5)/2 * 4
-(-5) = 5
2 * 4 = 8
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3 years ago
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