1st equation: 6m +5v = 56
2nd equation: 2m + 3v = 26
multiply 2nd eq. by 3
3rd equation = 6m +9v =78
subtract 1st from 3rd: 4v = 22
v = 22/4 = 5.5 so videos cost 5.50 each
now use 1st eq. to solve for m:
6m +5(5.50) = 56 =
6m + 27.50 = 56=
6m = 28.5
m = 28.5/6 = 4.75 each movie
video cost 5.50
movie cost 4.75
Answer:
Step-by-step explanation:
If the square has an area of 49 ft^2, then the length of one of its sides is
s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.
As for the rectangle: let W and L represent the width and length, respectively. Then W*L = 24 ft^2 is the area. L = W + 2 ft. Therefore,
W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0. Thus, W = 4 ft.
The perimeter of this rectangle is P = 2W + 2L, or
P = 2(4 ft) + 2(6 ft) = 24 ft.
The square has the larger perimeter: It is 28 ft.
Answer:
( 3, 5.5 )
Step-by-step explanation:
Let,
( x1, y1 ) = ( 7, 3 )
Where,
x1 = 7
y1 = 3
Let,
( x2, y2 ) = ( - 1, 8 )
Where,
x2 = - 1
y2 = 8
Formula : -
Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Midpoint of AB
= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2
= 6 / 2, 11 / 2
= ( 3, 11 / 2 )
= ( 3, 5.5 )
Answer:
I did not get this one right, but I will tell you that I know a lot of people, including me who put:
B and D.
Those two together are NOT right. and the other question I got wrong was number 5. That answer is not D. So don't put that. Everything else, I got correct.
Step-by-step explanation:
Answer: 299 m/s
Step-by-step explanation:
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.
v(t) = 6t^2 + 5
Now input 7 in for t to find the velocity.
v(7) = 6(7)^2 + 5
v(7) = 299 m/s