9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
Answer: choice A
Step-by-step explanation:
the transposed matrix would be
5 3
2 -1
so
5*5+2*2=29
3*5+2*-1=13
5*3-2*-1=13
3*3+-1*-1=10
which gives us the answer
29 13
13 10
F(x) = 4x - 1
All you have to do is substitute the values in the domain for x in the function.
f(-1) = 4(-1) - 1
f(-1) = -4 - 1
f(-1) = -5
f(0) = 4(0) - 1
f(0) = -1
f(1) = 4(1) - 1
f(1) = 4 - 1
f(1) = 3
And so on.
Answer:56
Step-by-step explanation:do 180-68, then divide by 2(because the x angles are equal to each other.
Answer: -2,000,000
Step-by-step explanation:
Think of it as -3,000,000 + 1,000,000