Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
First isolate y
3x + 2y = 14
-3x -3x
2y = -3x + 14
y = -3/2x + 14/2
y = -3/2x + 7
X-intercept is found when y = 0
0 = -3/2x + 7
-7 = -3/2x
x = 14/3
x-in. = (14/3,0)
Answer:
Hence, there is 5 gallons of fuel Roselyn needed for her journey.
Step-by-step explanation:
Since we have given that
Speed at which Roselyn wants to drive her car = 60 miles per hour
Time taken by her car = 1.5 hours
As we know the formula for "Distance-Speed " :
Her car has fuel efficiency = 15 miles per gallon
Number of gallons of fuel is given by
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Thirty-two thousand six hundred fifty-one
"Conjeture" is not one of the three categories of Euclid's geometric principles.
Euclidean geometry begins with Euclid's Elements, which is both a sum of the geometric knowledge of the time and an attempt to formalize this knowledge mathematically.
The notions of straight line, plane, length, area are exposed there and form the support of elementary geometry lessons. The conception of geometry is intimately linked to the vision of the ambient physical space in the classical sense of the term.
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