Answer: -5-13i
Work Shown:
(1-4i) - (6+9i) = 1-4i-6-9i
(1-4i) - (6+9i) = (1-6) + (-4i-9i)
(1-4i) - (6+9i ) = -5 - 13i
The answer is in the image
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)
From (3): x + z = 2
x = 2 - z --------- (4)
Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6
Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9
Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11
Solution:
x = 11
y = 6
z = -9
Answer:
284° F
Step-by-step explanation:
Formula:
<em><u>°Fahrenheit = 9/5 × °Celsius + 32</u></em>
9/5 × 140° +32
1.8 × 140 = 252
252 + 32 = 284
Answer:
The correct answer is 75 cubic feet.
Step-by-step explanation:
Volume of each block of cube is 1 cubic foot. Since the block is of the shape of a cube, the side length is 1 foot.
Number of blocks needed to fill the bottom of the the chest is 25.
Height of the chest is 3 feet.
Therefore there are three layers to be filled by blocks. Each layer needs 25 blocks each. Thus number of blocks needed to fill the whole chest is 25 × 3 = 75.
Volume of 75 blocks = Volume of the chest = 75 × 1 = 75 cubic feet.
Therefor the volume of the chest is given by 75 cubic feet.