Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,

Now, similarly from the graph the function of g(x) can be written as,

Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
Learn more about Equation:
brainly.com/question/2263981
#SPJ1
Answer:
Step-by-step explanation:
Alright, lets get started.
The part of the diagonals are given as 0.9 m and 1.2 m.
The diagonals of rhombus intersect each other.
Hence the length of diagonals will be :
and 
The formula of area of rhombus is :
where p and q are the length of diagonals.
So plugging the values of diagonals in formula, the area will be :
Area = 
Area = 
Area =
................. Answer
Hope it will help :)
Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm