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General equation of a circle
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(x - a)² + (y - b)² = r² where (a, b) is the centre of the circle and r the radius
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Equation of the circle
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Point (-10, 6) and radius 4
(x -(-10))² + (y - 6)² = 4²
(x + 10)² + (y - 6)² = 16
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Answer: Equation of the circle: (x + 10)² + (y - 6)² = 16 (Answer B)
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Answer:
see explanation
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Consider the coefficient of the x² term
• If a > 0 then vertex is a minimum and graph opens up
• If a < 0 then vertex is a maximum and graph opens down
f(x) = x² - 5x - 7 is in standard form
with a = 1, b = - 5 and c = - 7
Since a > 0 then vertex is a minimum and graph opens up
If the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
<h3>What is a distance formula?</h3>
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Route 1:
The distance between A and D
Distance of AB:
AB = 500 mi
Distance between BD:
BD = 1500 mi
In route 1 the distance traveled by salesman:
AD = 500 + 1500 = 2000 mi
Route 2:
AC = 1700 mi
CD = 500 mi
AD(through C) = 1700 + 500 = 2200 mi
Thus, if the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
Learn more about the distance formula here:
brainly.com/question/18296211
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Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial.
