For the first picture..........
|AB| |BD|
-----=-----
|AC| |DC|
x+8 10
-----=----
2x-5 14
10(2x-5)=14(x+8)
20x-50 = 14x+112
20x-14x = 112+50
6x = 162
x= 162/6
x=27.....
For the second picture.......
AD| |AC|
-----=-----
|DB| |CB|
3 4
--=---
x 7.5
4×X = 3×7.5
x = 22.5/4
x = 5.625....
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer: Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.
Step-by-step explanation:
Step-by-step explanation:
-t = 9(t-10)
-t = 9t - 90
90 = 9t + t
90 = 10t
90 ÷ 10 = t
9 = t
Answer:
k(x) = -40
i(x) = -15
n(x) = 71
d(x) = 17
Step-by-step explanation:
This is exactly the same deal as the most recent question you asked.
"Evaluate each function for x = 8". In other words, this is saying, calculate the result for each function, replace x with 8. So, that means for every function, you are going to replace x with 8.
k(x) = -5x turns into k(x) = -5(8)
Then you just solve, -5(8) = -40
Since I have answered this question similarly, I ask that you go back to the answer and detailed explanation I gave you earlier.
