Answer:
SAS postulate
Step-by-step explanation:
AD (common)
AC = BD (both are diameters)
Angle COD = Ange AOD (vertically opposite angles)
Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)
Therefore, ABD and DCA are congruent by SAS postulate
Well if y represents the vertical distance of the ball then you want to solve the equation for when y is 0, since 0 would represent the ball being on the ground. So substitute 0 in for y and solve the equation.
0 = - 0.001x^2 + 0.3x
we have a common factor of x in both terms so we can take that out.
0 = x(-0.001x + 0.3)
Zero product property tells us that we can set both of those products equal to zero and solve
0 = x
0 = -0.001x + 0.3
our first answer is x = 0 is obvious bc thats when the ball starts before you hit it, means it traveled 0.
solving the second equation gives us x = 300
so the ball traveled 300 "yards" I suppose your problem starts, which is impossible, but no matter thats the answer :-)
1, -1 !!! i hope this helps (also download mathpapa :D )
Answer:
Step-by-step explanation:
let number of passion fruits=x
number of dragon fruits=x+10% of x
=x+0.1 x=(1+0.1)x=1.1 x
total number of fruits=x+1.1 x=(1+1.1)x=2.1 x
1.1x+60% of 1.1x+x+9% of x=2.1x+75
1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75
1.1x+0.66 x+x+0.09 of x =2.1x+75
2.1 x+0.75x-2.1 x=75
0.75 x=75
Answer:
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
Generally the echelon reduction is mathematically applied as
Add -2 times the 1st row to the 2nd row
Multiply the 2nd row by -1/8
Add -1 times the 2nd row to the 3rd row
Multiply the 3rd row by -8/41
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
Add -3 times the 2nd row to the 1st row
