Draw the circle ( x − 1 ) 2 + ( y + 2 ) 2 = 9
1 answer:
The required circle will have a radius of 3 units and centre at (1, -2)
<h3>Equation of a circle</h3>The standard equation of a circle is expressed as shown;
(x-a)^2+(y-b)^2 = r^2
where
(a, b) is the centre of the circle
r is the radius of the circle
Given the equation of the circle below;
(x − 1)^2 + (y + 2)^2 = 9
(x − 1)^2 + (y + 2)^2 = 3^2
Find the centre and radius
centre = (1, -2)
radius = 3
This shows that the required circle will have a radius of 3 units and centre at (1, -2)
Learn more on equation of a circle here: brainly.com/question/14150470
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25 in exponential form:
Factors to make 25 in exponential form: 5 * 5 = 5^2, 1 * 25 = 25^1
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
