Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
Cross multiply:
Distribute the '6':
Combine like terms and simplify:
Therefore, the length of CD is 3.
The value of w(u(4)) is 73.
u( x ) = - 2*x + 2
w( x ) = 2*x^2 + 1
w( u( x ) ) = w( - 2*x + 2 )
⇒ w( u( x ) ) = 2*( - 2*x + 2 )^2 + 1
⇒ w( u( x ) ) = 2*[ 2^2 + ( 2*x )^2 - 2*2*( 2*x ) ] + 1
⇒ w( u( x ) ) = 2*[ 4 + 4*x^2 - 8*x ] + 1
⇒ w( u( x ) ) = 8 + 8*x^2 - 16*x + 1
⇒ w( u( x ) ) = 8*x^2 - 16*x + 9
⇒ w( u( 4 ) ) = 8*4^2 - 16*4 + 9
⇒ w( u( 4 ) ) = 8*16 - 16*4 + 9
⇒ w( u( 4 ) ) = 128 - 64 + 9
⇒ w( u( 4 ) ) = 73
In mathematics, a feature from a set X to a fixed Y assigns to each detail of X exactly one detail of Y. The set X is called the domain of the function and the set Y is referred to as the codomain of the function. features were firstly the idealization of how various quantity relies upon any other quantity.
These elementary functions include
- rational functions,
- exponential functions,
- basic polynomials,
- absolute values
- square root function.
A function is defined as a relation between a set of inputs having one output each. In simple phrases, a function is a courting among inputs wherein every entry is associated with exactly one output. every function has a site and codomain or range. A characteristic is normally denoted through f(x) in which x is the input.
Learn more about function here: brainly.com/question/6561461
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Answer:
√(cd)*∛d
Step-by-step explanation:
This problem becomes a bit easier if we group the variables c and d together.
(cd)^(1/2)*d*(1/3) = c^(1/2)*d^(1/2+1/3)
Continuing, we get c^(1/2)*d^(5/6) (by adding the exponents 1/2 and 1/3)
Now c^(1/2) is equivalent to the radical form √c, and
d^(5/6) is equivalent to d^(5/3)^(1/2), which, as a radical, is √d(5/3).
Summarizing this:
(cd)^(1/2)*d*(1/3) = c^(1/2)*d^(1/2+1/3) = (cd)^(1/2)*d^(1/3),
which, in radical form, is √(cd)*∛d