Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
A. I would estimate that 7 in of the ribbon
B. the estimate would be high because the longer the ribbon is the more of the ribbon would have to be cut.
C. 11.7 - 5.25 = 6.45 iris has to cut 6.45 off the longer ribbon for the ribbons to be the same length.
Answer:
√200
Step-by-step explanation:
An irrational number is a number that can not be represented as a fraction
√81 = 9 = 9/1
√-16 = 4i
√-64 = 8i
√200 = ~14.14213
Answer:
shown below
explanation:
<em>first</em><em> </em><em>off</em><em>,</em><em> </em><em>you</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em> </em><em>and</em><em> </em><em>1</em><em>3</em><em>4</em>
12x=134+10
12x=144
<em>then</em><em> </em><em>you</em><em> </em><em>simplify</em><em> </em><em>which</em><em> </em><em>will</em><em> </em><em>look</em><em> </em><em>like</em><em> </em><em>this</em><em>:</em>
12x. 144
___ = ___
12. 12
144÷12=12
so the answer is option c.12
<h2>
hope it helps!!</h2>
Answer:
500,000
Step-by-step explanation:
If the number is under 5 it rounds down and over 5 rounds up
