<span>rotated 90° about the origin
(x,y) = (-y, x)
so </span><span>(5, -2) is rotated 90° about the origin = (2, 5)
answer
</span><span>b.(2, 5)</span>
The slope-intercept form:
m - slope
b - y-intercept → (0, b).
We have the points (4, 7) and (0, 7) → b = 7.
Calculate the slope:
Therefore we have
The standard form:
<h3>Answer: y = 7.</h3><h3><em>It's a horizontal line.</em></h3>
Answer:
The standard form of the equation of the circle is .
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin , so
We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.
Therefore, the standard form of the equation of the circle is .
Answer:
Step-by-step explanation:
1. Subtraction
2.multiplication
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