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4 years ago

What property is 5i+24+12i

Mathematics

2 answers:

yulyashka [42]4 years ago

8 0

$5i +24 +12i = 17 i +24$

AleksAgata [21]4 years ago

3 0

Algebraic form:

z = 24+17i

Exponential form:

z = 29.410882 × ei 35°18'40″

Trigonometric form:

z = 29.410882 × (cos 35°18'40″ + i sin 35°18'40″)

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Write an equation in point-slope form for the line that passes through each point with the given slope (-1,-2) m= 3

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)

m = 3

x₁ = -1

y₁ = -2

Therefore the equation:

y - (-2) = 3(x - (-1))

7 0

3 years ago

What is the solution to the equation -2(1+5a)=-6(a+3) ?

Lilit [14]

The solution is a=4

-2(1+5a)=-6(a+3)

-2-10a=-6a-18

+18 +18

16-10a=-6a

+10a +10a

16=4a

divide by 4

4=a

7 0

3 years ago

Translate the phrase into an expression: 11 more than one third of a number

skelet666 [1.2K]

1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.

We can represent 11 more as +11.
This, our expression is 1/3x+11

Hope this helps!

5 0

3 years ago

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce

never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0

3 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, start text, space, k, m, end text and is

EastWind [94]

Answer:

The equation to determine the total length in kilometers is $\frac{h}{2} =(17+2)$

The total length in kilometers of Josh’s hike is 38 km.

Step-by-step explanation:

Given:

Let the total length in kilometers of Josh’s hike be h.

Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.

It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.

Framing the above sentence in equation form we get;

$\frac{h}{2}=(17+2)$

Hence, The equation to determine the total length in kilometers is $\frac{h}{2} =(17+2)$

Now Solving the above equation we get;

First we will multiply 2 on both side using Multiplication property we get;

$2\times \frac{h}{2}= 2\times(17+2)\\\\h =2\times 19 =38 \ km$

Hence, The total length in kilometers of Josh’s hike is 38 km.

4 0

3 years ago

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