Answer: C. 
Step-by-step explanation:
1. You have the following division:
(As you can see, to find the conjugate of 4-3i you must change the sign between the terms).
2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:

3. Keeping on mind that
, you have:

4. Simplifying:

5. The result is:

Long piece: 5x + 3
Short piece: x
Long + Short = Total
5x + 3 + x = 45
6x + 3 = 45
6x = 42
x = 7
Long piece: 5x + 3 = 5(7) + 3 = 35 + 3 = 38
Answer: short = 7 ft, long = 38 ft
Answer:
Step-by-step explanation:
-7x-2y=-13
x-2y=11
(subtract the first inequality from the second)
-7x-x = -8x
-2y-(-2y) = 0
-13-11= -24
-8x=-24
x=3
(now place the x value into the second inequality)
3-2y=11
-2y=11-3
-2y=8
y=-4
x=3
y=-4
Answer:
3
Step-by-step explanation:
m= 18
m/6 --> 18/6 = 3
Answer:
BA/YX=BC/YZ=AC/XZ
Step-by-step explanation:
SINCE,
ABC AND XYZ ARE EQUILATERAL TRIANGLE
ALL THREE SIDES ARE EQUAL