Is the line whose equation is y=1/2x + 3 tangent to the circle whose equation is ((x+5)^2)+((y-5)^2)=16? Justify your answer algebraically and graphically.

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

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Q: How would you recognize a nonstandard equation as a circle?

A: Equation of a circle will contain the terms x2  &  y2 with same coefficients.

Q: At what point in the fourth quadrant does the line with equation y= -x-2 intersects the circle with…

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Q: I draw this on paper

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Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Can you make a slope intercept equation form a line parallel to the y-axis? If so, how?

A: The solution is given in the next step.

Q: K(3,-5) point is the midpoint of the chord of x²+y²=277 circle. Find the line equation of this…

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Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: what is the radius and center of the circle given by the equation (x-3)2 + (y+5)2 =100?

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Q: Is (-2,1) a point on the graph of y < 2x - 1 ? Graph the equation of this line.

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Q: The roots of the equation x² - 6x + I = 0 are? The equation of the line of symmetry to the curve y…

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Q: What is the radius of the circle with equation (x − 7)2 + (y − 8)2 = 9?

A: Let the equation of circle is-

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

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Q: Find the equation of the circle with center (-3,8) and radius √3

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Q: Oy=3x(x - 2), x = 0, x = 2 Oy=3(x - 2), x = 2 Oy=3(x-2)(x + 2), x = -2, x = 2 Oy = 3x (x² - 2x), x =…

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Q: if a line is neither horizantal nor vertical and does not pass through the origin, show that its…

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Q: Write the equation of the circle in standard form, (x - h)2 + (y - k)2 = r2. (r-(O) + (- - (O) - 2

A: The equation of circle in standard form is x-h2+y-k2=r2, where (h,k) is the center and r is the…

Q: Which point is on the circle with equation (x-4)^2 + (y+3)^2 = 9 ?

A: The equation of circle is given as (x-4)2 + (y+3)2 =9, it can be written as (x-4)2 + (y+3)2…

Q: The skateboarder drops into a vert ramp, following a parabolar y=x^2- 2x-3. The slope of his path…

A: The given equation of Parabola y=x2-2x-3 is an open upward parabola with (0,-3) is a y-intercept…