Answer:
x = 9, y = 2
Step-by-step explanation:
Given the 2 equations
x + 10y = 29 → (1)
x - y = 7 → (2)
Subtracting (2) from (1) term by term will eliminate the term in x
(x - x) + (10y - (- y)) = (29 - 7), that is
11y = 22 ( divide both sides by 11 )
y = 2
Substitute y = 2 in either of the 2 equations
Substituting in (2)
x - 2 = 7 ( add 2 to both sides )
x = 9
So based on your question where there is a rectangle inscribed in a semicircle or a radius 10 as shown in your figure. The possible function that could represent the are of the rectangle is A=2x*sqrt(100-x^2) i hope you are satisfied with my answer and feel free to ask for more
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
Answer:
B. $2,565
Step-by-step explanation:
Answer:
T1 = 975 / (205 + V) flying with wind
T2 = 975 / (205 - V) flying against wind
T2 = T1 + 2
975 * {1 / (205 - V) - 1 / (205 + V)] = 2
(205 + V + V -205) / (205^2 - V^2) = 2 / 975
V^2 + 975 V - 42025 = 0 rearranging
V = 41.3
Values of flying are 246.3 and 163.7
Check:
T1 = 975 / 246.3 = 3.96 hrs
T2 = 975 / 163.7 = 5.96 hrs
