Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
Answer:
Step-by-step explanation:
Let height of a banner be 
, then we know that this is 
of the length 
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:
So there we have it!
If the banner is 5 ft tall, then it's length will be:
Answer:
To be Honest I kinda do know but I can solve the equation for you if that helps
Step-by-step explanation:
5x+15y-6 is the answer
first you will add all of them and then distribute
Remove parentheses
=3x-18+15y+6+2x+6
Group like terms
=3x+2x+15y-18+6+6
Add similar elements
=5x+15y-18+6+6
Finally Add/Subtract the numbers
=5x+15y-6
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
-------------------------------------------
Define x:
-------------------------------------------
Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
-------------------------------------------
Construct equation:
-------------------------------------------
x +6x =35
7x = 35
x =5
-------------------------------------------
Find the length:
-------------------------------------------
Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
-------------------------------------------
Answer: The shorter piece is 5 feet.
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