(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16
Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
----------------------
13a=39 ⇒a=39/13=3
3(2a-3b=-6)
-2(3a+2b=17)
----------------------
-13b=-52 ⇒ b=52/13=4
Answer: a=3; b=4
Answer:
It is given that , In ΔW X Y, Y X is perpendicular to W Z. Also, y w= w z.
To Prove: ΔW X Y ≅ ΔZ Y X
Proof:
In Δ W X Y and Z Y X
Y X ⊥ W Z→→→→Given
Y W= Y Z→→(Given)
∠YWX=∠YZX→→As, opposite sides of a triangle are equal, so angle opposite to them are equal.
∠YXW=∠YXZ→→Each being 90°
So, ΔYXW≅ΔYXZ→→[AAS]
Also, YX is common sides between two triangles.
ΔYXW≅ΔYXZ→→[HL]
So,the two triangles can be proved congruent by either AAS, or HL.
Answer:
Roughly 20.4%
Step-by-step explanation:
Use the formula of percent of error:
| Actual number - Guess / Actual number | (100)
The actual number is 108 and the guessed number is 86:
| 108 - 86 / 108 | (100)
= | 22/108 | (100)
= | 0.2037037037 | (100)
The vertical lines indicate absolute value. This means that anything inside of it must be turned into its positive form. Since it is already positive, just take the signs away:
0.2037037037(100)
≈ 0.204(100)
= 20.4
Turn this into a percent:
20.4%
Martha's percent of error is 20.4%
Please tell me if I was right or not. I really hope this helps!
There are 8 fl oz in 1 cup. First we need to figure out how many cups he drank (multiply 5 by 2). Then multiply how many cups he drank (10) by how many fl oz are in a cup (8). There are 80 fluid ounces in 10 cups of water :)
Answer:
12
Step-by-step explanation:
