Answer:
5.8
Step-by-step explanation:
Side KI is proportional to HF, and as we know GH is proportional to JK, we can make a proportion. x/31 = 8/43, 43x = 248, so x = 5.767, which rounds to 5.8
Add
5
5
to both sides of the equation.
√
2
x
+
13
=
x
+
5
2
x
+
13
=
x
+
5
To remove the radical on the left side of the equation, square both sides of the equation.
(
√
2
x
+
13
)
2
=
(
x
+
5
)
2
(
2
x
+
13
)
2
=
(
x
+
5
)
2
Simplify each side of the equation.
2
x
+
13
=
x
2
+
10
x
+
25
2
x
+
13
=
x
2
+
10
x
+
25
Solve for
x
x
.
x
=
−
2
,
−
6
x
=
-
2
,
-
6
Exclude the solutions that do not make
√
2
x
+
13
−
5
=
x
2
x
+
13
-
5
=
x
true.
x
=
−
2
A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
<h3>What is a function?</h3>
A relation is a function if it has only One y-value for each x-value.
The given function is
f(x)=2x²-4x+2
Put x=2/3
f(2/3)=2(2/3)²-4(2/3)+2
=2(4/9)-8/3+2
=8/9-8/3+2
=(8-24+18)/9
f(2/3)=2/9
Now f(x)=4x²+2x-6
Put x=1/4
f(1/4)=4(1/4)²+2(1/4)-6
=4/16+2/4-6
=1/4+1/2-6
= 1+2-24/4
f(1/4)==-21/4
Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
To learn more on Functions click:
brainly.com/question/21145944
#SPJ1
The answer is: "12 feet" .
________________________________
Note: In a square, the length of EACH of the four sides of the square is the same.
Area = Length * width.
For a square, length = width.
So for a square, Area = length * width = (length of a side)² = s² ,
Given: A = s² = 144 ft² ;
Solve for the positive value of "s" .
________________________________
→ s² = 144 ft² ; Take the "square root" of each side ;
→ √(s²) = √(144 ft²) ;
→ s = 12 ft.
_______________________________
The answer is: 12 ft.
_______________________________
Answer:
35C12 = 834451800
Step-by-step explanation:
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