Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = 
and x = 1
Thus, we get coordinates: 
and (1, 4)
We know that
surface area of rectangular cake=area of the base+perimeter of base*height
<span>only the top area is considered for frosting</span>
area of the base=20*12----> 240 in²
perimeter of the base=2*[20+12]----> 64 in
height=6 in
surface area of rectangular cake=240+64*6----> 624 in²
the answer is
624 in²
49 and 63 can both be divided by 7
49/7=7
63/7= 9
7/9
Answer:
10.99
Step-by-step explanation:
where you see tan20 the 20 has a degree sign on top
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In the drawing, for every 1 inch the actual size is3 feet. so 6 inches long turns to 18 feet because 6*3 =18. can you manage the rest? To find actual lengths you just multiply by 3 here.
