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Thepotemich [5.8K]
3 years ago
13

Find the coordinates of the midpoint of segment XY for X(-2, 3) and Y(-8, -9).

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

use formula

(x,y) =[ (x1+x2)/2 ,(y1+y2/2)]

=[(-2-8)/2, (3-9)/2]

=(-10/2 ,-6/2)

=(-5,-3)

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A shopper paid $2.52 for 4.5 pounds of potatoes and $7.75 for 2.5 pounds of broccoli. What is the unit price of each item she bo
Maurinko [17]
<h3>Unit price is $ 0.56 per pound of potatoes</h3><h3>Unit price is $ 3.1 per pound of broccoli</h3>

<em><u>Solution:</u></em>

Given that,

Unit price is the price of 1 unit

\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}

<h3><u>Find unit price of potatoes</u></h3>

A shopper paid $2.52 for 4.5 pounds of potatoes

Unit\ Price = \frac{2.52}{4.5}\\\\Unit\ Price = 0.56

Thus unit price is $ 0.56 per pound of potatoes

<h3><u>Find unit price of broccoli</u></h3>

$7.75 for 2.5 pounds of broccoli

Unit\ Price = \frac{7.75}{2.5}\\\\Unit\ Price = 3.1

Thus unit price is $ 3.1 per pound of broccoli

5 0
3 years ago
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
2 years ago
Read 2 more answers
Who know the answer? Pls
baherus [9]
Answer: Exponential growth
4 0
3 years ago
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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
siniylev [52]
<h3>Answer: Approximately 119.76 meters</h3>

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

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

x = 0.62486936y

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

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

8 0
3 years ago
in a toy store the ratio of the number of dolls to the number of teddy bears 6:5if the number of dolls are 24 what is the number
ELEN [110]
6:5 to 24:20 
thats because 6 to 24 is 4 times so you do 5 times 4 and get 20.
4 0
3 years ago
Read 2 more answers
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