14 tiles would be able to go on that one side of the counter
Answer:
Step-by-step explanation:
(1x/4 + 1/7) + (3x/8 - 1/3) = x/4 + 3x/8 + 1/7 - 1/3
= x*2/4*2 + 3x/8 + 1*3/7*3 - 1*7/3*7
= 2x/8 + 3x/8 + 3/21 - 7/21
= (2x+3x)/8 + (3-7) /21
= 5x/8 + (-4)/21
= 5x/8 - 4/21
Answer:
18x+63
Step-by-step explanation:
First you've to simplfy it, multiply the first bracket by 5 and the second by 4.
= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)
= 10x+35+8x+28
Combine Like Terms:
= 10x+35+8x+28
= (10x+8x)+(35+28)
= 18x+63
Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola and here it is (5 , 16.5), so we have the function:-
y = a(x - 16.5)^2 + 5
when x = 0 y = 0 so
0 = a(-16.5)^2 + 5
which gives a = -0.018365
So our function for the flight path is
y = -0.018365(x - 16.5)^2 + 5 Answer
