What is the distance between the points (3,-7) and (6,2)
1 answer:
Answer:
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance
=√(x2−x1)2+(y2−y1)2
Substitute the actual values of the points into the distance formula.
√(2−(−3))2+((−6)−(−7))2
Simplify.
Tap for more steps...
√26
The result can be shown in multiple forms.
Exact Form:
√26
Decimal Form:
5.09901951
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Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex
Factor -1 the leading coefficient
Complete the square
Rewrite as perfect squares
The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
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Answer: The 10th term is 17.
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