Problem 1 :
5x + 7y = 1
ax + by = 1
In the given pair of equations, a and b are constants. The graph of this pair of equations in the x y -plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?
A) 10x + 7y = 1 and ax - 2by = 1
B) 10x + 7y = 1 and ax + 2by = 1
C) 10x + 7y = 1 and 2ax - by = 1
D) 5x - 7y = 1 and ax + by = 1
Solution :
Problem 2 :
x^{2} - 34x + c = 0
In the given equation, c is a constant. The equation has no real solutions if c > n. What is the least possible value of n?
Solution :
Problem 3 :
What is the positive solution to the given equation?
Solution :
Problem 4 :
A rocket contained 467,000 kilograms (kg) of propellant before launch. Exactly 21 seconds after launch, 362,105 kg of this propellant remained. On average, approximately how much propellant, in kg, did the rocket burn each second after launch?
A) 4,995
B) 17,243
C) 39,481
D) 104,895
Solution :
Problem 5 :
An object is kicked from a platform. The equation
h = -4.9t^{2} + 7t + 9
represents this situation, where his the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
A) 0
B) 4.9
C) 7
D) 9
Solution :
Digital SAT Problems and Solutions (Part - 1)
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