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Yuki888 [10]
3 years ago
15

Show that (x+5)^2-(x-5)^2=20x

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

formula \: to \: be \: used:  \\ \boxed{  \boxed{ {a}^{2} -  {b}^{2}   = (a + b)(a - b)}} \\  \\  {(x + 5)}^{2}  -  {(x - 5)}^{2}  \\  \\  =  \{(x + 5)  +  (x - 5) \} \{(x + 5)   -   (x - 5) \}  \\  \\  =  \{x +  \cancel5  +  x -\cancel 5 \} \{\cancel x + 5   -  \cancel x  +  5 \} \\  \\  =  \{2x \} \{10 \} \\  \\  = 20x \\  \\  \therefore \:  {(x + 5)}^{2}  -  {(x - 5)}^{2} = 20x \\ thus \: proved

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(y + 2x - 3) + (27²-y-3​
ArbitrLikvidat [17]

Answer:

=2x+723

Step-by-step explanation:

y+2x−3+272−y−3

=y+2x+−3+729+−y+−3

Combine Like Terms:

=y+2x+−3+729+−y+−3

=(2x)+(y+−y)+(−3+729+−3)

=2x+723

3 0
3 years ago
Will someone please help me with questions 1 and 2 please ?
const2013 [10]
1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)

12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12

2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)

make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get

A=(-6,3), B=(-2,0), C=(-2,3)
3 0
3 years ago
Kinda confused on this one
Stels [109]
Oposite interior angle are equal with paraelelle ilnes
and also oposite angles in intersecting lines are equal so
and striahgt lines are 180 degrees

so
∠1=∠2=∠6=∠4=∠3


∠1=∠3
∠1=108
∠3=108

answer is 108 degrees
3 0
3 years ago
What is 290 square root
Vladimir79 [104]
The square root of 290 is 17.0294.
6 0
3 years ago
Read 2 more answers
Hurry help
Troyanec [42]

Answer:

Never

Step-by-step explanation:

If p is true and ~ q is false, then p -> ~ q is ____ false

This translates to:

true -> true

So it will never be false.

4 0
2 years ago
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