Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term
1 answer:
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Answer:
8 or 32
Step-by-step explanation:
So we are given two coordinates and the length of the segment formed by those coordinates.
To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:
Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.
The distance formula is given by the formula:
Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:
Do the operations within the parentheses:
Now, square both sides to take out the square root:
Simplify:
Square (-5):
Subtract 25 from both sides. The right cancels:
Now, take the square root of both sides.
Simplify:
So, we have two solutions:
On the left, subtract 20. On the right, also subtract 20:
Divide both sides by -1:
So, our two possible answers are 8 or 32.
Answer:
a) 0.8841
b) 0.0435
Step-by-step explanation:
A : the set of joints deemed defective by inspector A.
B: the set of joints deemed defective by inspector B.
U: the set of all joints.
The problem says |A|=724, |B|=751, |A∪B|=1159, |U|=10000. Hence, with the help of Venn diagram we can answer the following:
Part a)
This asks for the number of joints that are ∉(A∪B).
hence,
P (∉(A∪B)) :
part b)
This asks for the number of joints that are in B but not in A, which Is represented as the set B−A