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UkoKoshka [18]
3 years ago
11

Prove using algebra that the difference between the squares of consecutive odd numbers is always a multiple of 8.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

in steps

Step-by-step explanation:

(2n+3)² - (2n+1)² = 4n² + 12n + 9 - 4n² -4n - 1

= 8n + 8 = 8 (n + 1)  ... always multiple of 8

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Pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive a
olga2289 [7]

Answer:

52 miles

Step-by-step explanation:

A to B:

sqrt( (3 - (-2))^2 + (-11 - 1)^2 )

sqrt( (5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

B to C:

sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )

sqrt( (-5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

C to D:

sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )

sqrt( (-5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

D to A:

sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )

sqrt( (5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

Adding:

13 + 13 + 13 + 13

52

8 0
3 years ago
Find elapsed time 7:30am to 3:00 pm
Vikki [24]

Answer:

<u><em>7 hours 30 minutes and 0 Seconds</em></u>

Step-by-step explanation:

  • <em>60 minutes in 1 hour</em>
  • <em>7:30 - 3:00</em>
  • <em>60 * 10 = 600 Seconds</em>
  • <em>Plus the 30 minutes which converts to 20 seconds</em>
  • <em>Change that into hours and minutes</em>
7 0
1 year ago
Which decimal is equal to<br> 42<br> ?<br> 10<br> A. 0.04<br> B. 0.4<br> O c. 0.41<br> O D. 4.10
timama [110]

Answer:

C

Step-by-step explanation:

42%= \frac{42}{100}= 0.42

4 0
2 years ago
What is the value of x inthe equation 1/5×-2/3y=30, when y=15?
taurus [48]
X in this equation is about 4 and a half i know because i used a cacisnatter
5 0
3 years ago
Help!<br> What would d be?
Oxana [17]

Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

10² + 8² = c²

100 + 64 = 164

c² = 164

c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

6 0
4 years ago
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