We have 2 equations here ( b = cost of bush and t = cost of a tree)
10b + 4t = 246........................................................(1)
5b + 3t = 147 Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)
Adding equations (1) and (2) we get:-
0 - 2t = - 48
t = -48/-2 = 24
Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15
The answer is one bush costs $15 and one tree costs $24.
The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The circle has center at (2,-4), hence 
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
(5, -1)
Step-by-step explanation:
Midpoint = (x1 + x2 ÷ 2) , (y1 + y2 ÷ 2)
MP= (7 + 3 ÷ 2), (-5 + 3 ÷ 2)
= (10÷2), (-2÷2)
=(5), (-1)
MP= (5, -1)
Answer:
A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board weigh? Write your answer as a mixed number
Step-by-step explanation:
The length of the other side of the yard is 16 feet
work: 160 divided by 10
hope it helps
