The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1
<h3>Equation</h3>
x² + y² = 9
x²/25 - y²/36 = 1
From (1)
x² = 9 - y²
substitute x² = 9 - y² into (2)
x²/25 - y²/36 = 1
(9-y²) / 25 - y²/36 = 1
Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1
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Answer:
40/y-16
Step-by-step explanation:
The Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.
<h3>What is a function?</h3>
A function is a type of relation, or rule, that maps one input to a specific single output.
Given
Base salary = $2500 per month
Commision = 3% on Sales over 48000
Determine the function s(x) for sales over $48000
Let's Represent the total sales in a month with s.
So, the function s(x) is:
s(x) = Base Amount + Commission x Sales over $48000
s(x) = 2500 + 3% (s - 48000)
s(x) = 2500 + 0.03(s - 48000)
s(x) = 2500 + 0.03s - 1440
s(x) = 0.03s - 1060
Hence, the Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.
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Answer:
13
Step-by-step explanation:
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Answer:
Set 4: 12 ft, 16 ft, 20 ft
Step-by-step explanation:
A right angle triangle is a triangle in which one of the angles is a right angle (i.e 90°). The side opposite to the right angle is the longest side and is called the hypotenuse. The Pythagoras theorem for a right angle triangle states the the square of the hypotenuse is equal to the sum of the square of the remaining two sides.
For set 1:
4² + 5² = 16 + 25 = 41
6² = 36
6² ≠ 4² + 5²
It does not form a right triangle
For set 2:
8² + 12² = 64 + 144 = 208
20² = 400
20² ≠ 8² + 12²
It does not form a right triangle
For set 3:
10² + 20² = 100 + 400 = 500
30² = 900
30² ≠ 10² + 20²
It does not form a right triangle
For set 3:
12² + 16² = 144 + 256 = 400
20² = 400
20² = 12² + 16²
It forms a right triangle
