Answer:
x is undefined
Step-by-step explanation:
2 + 6(x - 4) = 3x - 18 + 3x
Open the bracket
2 + 6x - 24 = 3x - 18 + 3x
collect the like terms
6x -3x - 3x = -18 +24 - 2
0x = 4
x = 4/0
x is undefined
Answer:
Future Value= $112.72
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $100
Number of periods (n)= 2*12= 24 months
Interest rate (i)= 0.06/12= 0.005
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 100*(1.005^24)
FV= $112.72
Answer:
Step-by-step explanation:
(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:
r 3x - 1
(-----)(x) = ----------
s 2x + 1
Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication.
Answer:
EF = 20 cm
Step-by-step explanation:
Here, we want to find the length of EF
To do this, we use the principle of similar triangles
The similar triangles we are considering here will be ;
FEA and FBD
when two triangles are similar, the ratio of their corresponding sides are equal
Let us calculate DC first
we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides
Using the triangle EDC
15^2 = 12^2 + DC^2
DC^2 = 225-144
DC^2 = 81
DC = 9
So the entire length of BD is 9 + 12 = 21 cm
Thus, we have it that;
Let EF be x
so DF = 15 + x
Hence;
BD/DF = AE/EF
21/15+x = 12/x
21x = 12(15 + x)
21x = 180 + 12x
21x-12x = 180
9x = 180
x = 180/9
x = 20 cm
EF = 20 cm