28 miles per gallon of gas.
55 miles per hour * 2.75 hours = 151.25
Now, divide.
151.25/28 = about 5 gallons.
Answer: about 5 gallons of gas would be used.
Answer:
axis of symmetry : x = 4
Step-by-step explanation:
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
The vertex of h(t) = -16t^2 + 64x is ( 4 , 0 )
The vertex is the highest point of the graph so it represents that after four seconds the ball is at its highest height when the football is being kicked towards the goal.
Answer:
- -9
- 2x + 3y = 21
- 4√5
Step-by-step explanation:
1. Put the point values in the equation where x and y are, then solve.
... 3(-2) -2k = 12
... -6 -2k = 12 . . . . eliminate parentheses
... -2k = 18 . . . . . . .add 6
... k = -9 . . . . . . . . . divide by -2
2. The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The equation for it can be found by swapping the x- and y-coefficients and negating one of them. Then, to make the line go through point (h, k), replace the constant with zero and replace x with (x-h) and y with (y-k).
... 2(x -6) +3(y -3) = 0 . . . . . a line through P perpendicular to PQ
... 2x + 3y = 21
3. The Pythagorean theorem is used for finding the lengths of line segments. The difference in coordinates between P and R is ...
... P - R = (6, 3) - (2, -5) = (6-2, 3-(-5)) = (4, 8)
The length of segment PR can be considered to be the length of the hypotenuse of a right triangle with these leg lengths.
... ║PR║ = √(4² +8²) = √80
... ║PR║ = 4√5
It’s AAS because there are two congruent angles and one congruent side.
