The area of a square is 98 m2. How long is the diagonal?
1 answer:
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Answer:
20 miles.
Step-by-step explanation:
Let m be number of miles.
Laguana's Truck Rentals charges $20 plus $2 per mile.
Total cost of Laguana's Truck = .... (1)
Salvatori's truck rentals charges $3 per mile.
Total cost of Salvatori's truck = ... (2)
We need to find the number of hours after that the total cost for both companies will be the same.
Therefore, after 20 miles the total cost for both companies will be the same.
Answer:
y = (x/(1-x))√(1-x²)
Step-by-step explanation:
The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:
x = r·cos(θ)
y = r·sin(θ)
x² +y² = r²
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r = sec(θ) -2cos(θ)
r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)
r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²
(x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations
x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor
y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)
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The attached graph shows the equivalence of the polar and rectangular forms.
