Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is
Now we plug in numbers accordingly:
Simplify:
Simplify:
Let me know if you have any questions
Answer:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with
which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
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An use again the property for the exponent of a exponent:
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector by a scale factor of 2.5
→
Followed by the rotation by 90° Or radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector will become,
→
If we represent this vector by ,
Then a = -1 and b = -2.5 will be the answer.