In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:
Now, as can be clearly seen, to find y we will use the first two ratios as:
In a similar manner, to find the value of x we can use the last two ratios:
After cross multiplication we get:
Which can be simplified as:
Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
Step-by-step explanation:
Here are the 3 answers you needed :)!!!
Answer:
she bought 5 cards, which equals to $54
and then she bought 1 card
Step-by-step explanation:
Answer:
The Answer is C.
Step-by-step explanation:
f(x) = cos x , g(x) = cos(x - π/4)
Equation: f(x) = a * cos (x - h) + k
Since the equation only has h = π/4, it means that it shift right.
