Part 1) The equation of a circle is (x+4)²+(y−5)²<span>=121.
What is the center and radius of the circle?
we know that
the equation of a circle is of the form
(x-h)</span>²+(y-k)²=r²
in the problem
(x+4)²+(y−5)²=121.------> (x+4)²+(y−5)²=11²
the center (h,k) is the point (-4,5) and the radius is 11
Part 2) we have that
(x+15)²+(y−12)²=25-------> (x+15)²+(y−12)²=5²
we know that
<span>the greatest distance, in feet, a person could be from the lamp and be detected is the radius
</span>
the radius is equal to 5 ft
the answer Part 2) is 5 ft
Part 3) we have that
(x−9)²+(y+11)²=16--------> (x−9)²+(y+11)²=4²
the radius is equal to 4 m
so the diameter is ------> 4*2-----> 8 m
the answer Part 3) is
8 m
I’m pretty sure it’s the second one
Answer:
100% = $28
Therefoe 1 % = $28/100
1% = $0.28
20% tip = 20 x $0.28 =$5.60
Step-by-step explanation:
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
the answer is 60 :) good luckStep-by-step explanation:
