Answer: See the picture attached.
Step-by-step explanation:
Given the following mixed numbers:
You need to convert them to decimal numbers. The steps to do this are shown below:
1. Divide the numerator of the fraction by the denominator.
2. Add the quotient obtained to the whole number part.
Then:
Therefore, the point is:
Where is the x-coordinate and
is the y-coordinate.
Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.
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Work Shown:
Part 1
Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.
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Part 2
In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2
In this case, a = sqrt(x-1) and b = 5.
You could also use the box method as a visual way to expand out
Answer:
C = 11.18 D= 20
Step-by-step explanation:
Let's start with C
Square root both areas of the squares
Then use the Pythagoras Theorem:
= C
Moving on to D
Square root both areas of the squares
29 is the hypotenuse, we are trying to find the other leg, so:
= D