Answer: The distance is 15
Step-by-step explanation:
To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.
-7-5= -12
0-9 = -9
12^2 + 9^2 = d^2 where d is the distance
144 + 81 = d^2
225 = d^2
d=
d= 15
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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:
Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)
Part 2)
Part 3)
Step-by-step explanation:
we have
In the triangle ABC
Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
we have
substitute the given values
Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than (this is called rounding down)
c) But increase it by if the next digit is
or more (this is called rounding up)
In this problem we have
We want to keep the digit
The next digit is which is 5 or more, so increase the "5" by 1 to "6"
therefore
