Given :
A complex number z = 10 - 13i .
To Find :
Which quadrant will the complex number (10 - 13i) be found.
Solution :
Coefficient of real part of complex number, r = 10.
Coefficient of imaginary part of complex number, i = -13.
Since, the coefficient of imaginary part is -ve and real part is +ve .
Therefore, the complex number is in 4th quadrant.
Hence, this is the required solution.
Answer:
8,9,10
Step-by-step explanation:
Let x-1, x and x+1 be the consecutive integers
(x-1)(x+1) = 5x + 35
x² - 1 - 5x - 35 = 0
x² - 5x - 36 = 0
x² - 9x + 4x - 36= 0
x(x - 9) + 4(x - 9) = 0
(x - 9)(x + 4) = 0
x = 9, -4
If this is distributive property, you would change 8(3x-6) to 8(3)x-8(6) and another way to say that is 24x-48 so it would be b and for d there are two negative signs which would equal positive so b and d
Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
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2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
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3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
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4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
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5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
Answer:
x≤−9
Step-by-step explanation:
x+5≤−4
-4-5=-9
you subtract 5 form each side
therefore x≤−9
hope this helps