The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
Area of a Rectangle is 10 sq. unit
Width of the Rectangle is x unit
Length is given by
l(x) = 10 / x
When the length of the Rectangle is increased by 1 ,
The new function will be
l(x) = 10 /(x+1)
The new translated function will be more towards the origin , as the value of length is decreased ,
This is represented by Graph 3 ,
This can be proved by keeping the value of x
let x = 2
y = 10 /3 = 3.333
This is only in the graph 3 , Therefore Option C is the right answer.
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If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
I think that 52 is next number
Answer:
I will help u if u help me
Step-by-step explanation:
2. Find the area of the parallelogram.
A.38cm
B.60cm
C.70cm
D.186cm
Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
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