Step-by-step explanation:
First find the area of the rectangle with the variables.
Now the areas are equal, so we have to solve the equation
Each unit on the coordinate plane represents one block. Donna is at Town Hall. She walks 7 blocks left and 2 blocks up to get to
the store.
Which ordered pair describes the location of the store?
A. (0, –2)
B. (–7, 2)
C. (–3, –2)
D. (3, 2)
Which ordered pair describes the location of the store?
A. (0, –2)
B. (–7, 2)
C. (–3, –2)
D. (3, 2)
2 answers:
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Answer:
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by
then with h = -3, k = -11 and r= 11, the equation of our circle is
