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navik [9.2K]
3 years ago
13

Add or subtract as indicated and write the result in standard form 3i+(-6-i)

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

B: -6+2i

Step-by-step explanation:

  • 3i + (-6 - i) =                ⇒ open parenthesis
  • 3i - 6 - i =                ⇒ simplify
  • -6 + 2i                     ⇒ answer in standard form of a+bi
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(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3). <br> What is x
Zarrin [17]

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

5 0
2 years ago
Solve the system by substitution or elimination
OleMash [197]
X - y = 5,
x = 5 + y
substitute (x = 5 + y) into the first equation,
5 + y + 2y = -1
3y = -6
y = -2,
substitute y = -2 into (x - y = 5),
x + 2 = 5
x = 3

Hence, x = 3, y = -2
4 0
2 years ago
Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing
Softa [21]

Answer:

y+mx+6=5

Step-by-step explanation:

4 0
2 years ago
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. y=−3x+6,
storchak [24]

Answer:

18π

Step-by-step explanation:

Graph: desmos.com/calculator/kpvlltsbhv

The region is defined by 3 lines, which form a triangle (the red area in the graph).  Cut a thin vertical slice (the blue area in the graph) with a width of dx, at a position of x.

When we revolve this slice around the x-axis, we get a hollow cylinder (or a washer).  The outside radius is -3x + 6, and the inside radius is 3x.  So the volume of the cylinder is:

dV = π [(-3x + 6)² − (3x)²] dx

dV = π (9x² − 36x + 36 − 9x²) dx

dV = π (-36x + 36) dx

dV = -36π (x − 1) dx

Now let's find the limits.  We know the beginning of the triangle is at x = 0.  To find where the triangle ends, solve for the intersection of the other two lines:

-3x + 6 = 3x

6x = 6

x = 1

So the region is between x = 0 and x = 1.

That means the total volume is the sum of all the hollow cylinders' volumes between x = 0 to x = 1.

V = ∫₀¹ dV

V = ∫₀¹ -36π (x − 1) dx

Evaluating the integral:

V = -36π ∫₀¹ (x − 1) dx

V = -36π (½ x² − x) |₀¹

V = -36π [(½ 1² − 1) − (½ 0² − 0)]

V = -36π (½ − 1)

V = 18π

The volume of the solid is 18π cubic units.

3 0
3 years ago
In a city, 49% of the adults are male. 24% of the adults are male and rent action-movie DVDs, and 10% of the adults are female a
olga2289 [7]
I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%
5 0
3 years ago
Read 2 more answers
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