Answer:
Point M = (2, -4)
Point N = (2, 4)
Step-by-step explanation:
Point L = (-2,-4)
If it is reflected over y-axis, it's y-coordinate remains the same and x-coordinate will change into it's opposite.
Point M = (2, -4)
The, it is reflected over x-axis, it's x-coordinate remains the same and y-coordinate will change into it's opposite.
Point N = (2, 4)
Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.
Day 1: 5C + 3N = 167
Day 2: 3C + 1N = 89
We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.
3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)
1N=89-3C
N=89-3C
Now we take this solution for N and put it into our first equation.
5C + 3(89-3C) = 167 (We need to distribute)
5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)
267-167 = 9C-5C
100 = 4C
25 = C $25 for the Cookbooks.
Now, we have to go back and solve for N by putting $25 in for C in the second equation.
N=89-3(25)
N=89-75
N=14 dollars for each novel.
Check by putting both back into the first equation:
5C + 3N = 167
5(25) + 3(14) = 167. It checks out!
Answer:
no, Andre ran at a sperm of 8km/hr while jada ran at 9km/hr you can find that by Andre going 2km in 15 minutes which turns to hours by multiplying by 4/4 to get 8/60 which 60 minutes is 1 hour then jada multiply by 3/3 which would be 9/60
