Through: (2,2), parallel to y=x+4
1 answer:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have to, if two lines are parallel then their slopes are equal.
Given the line , with slope
. A parallel line will have slope
and its equation will be of the form:
We substitute the given point and find "b":
Finally, the equation is:
Answer:
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Diameter of a semi circular garden = 18 feet
Radius of the garden :
Thus, the radius of the semi circular fence = 9 feet
We know that :
Which means, the circumference of Mary's semi circular garden :
(pi value = 3.14)
Thus, the circumference of fence needed for the semi circular garden = 28.26 feet
28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3
Thus, Mary's reasoning is correct.
Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.
Answer:
Step-by-step explanation:
Hi!
This is a lot of radicals, so it may seem tricky. Let's begin by simplifying all of the radicals that can be simplified.
We can see that can be simplified.
Taking prime factorization:
which is:
So an updated equation is .
Now, we need to expand this:
First, let's expand the parenthesis:
.
We can apply some of are rules:
And, now to simplifying!
Adding similar elements:
Simplifying and cleaning up each radical:
.
Now all we have to do is add the similar elements (again.)
In doing so we reach an answer of
Hope this helps!
- Sahkfam