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4 years ago

If the slope of a line is 2and its y-intercept is 5 what is theequation of the line

Mathematics

2 answers:

Scorpion4ik [409]4 years ago

5 0

To make this easier the answer is, "y = 2x + 5"

stira [4]4 years ago

4 0

Have you tried working on it

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HELP PLS!! ILL GIVE POINTS !! :(( m

vesna_86 [32]

Answer: Choice D

15(cos85° + i sin85°)

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Explanation:

Let's say we had these two general complex numbers, which are in polar form.

$z_1 = r_1*\left(\cos(\theta_1)+i*\sin(\theta_1)\right)\\\\z_2 = r_2*\left(\cos(\theta_2)+i*\sin(\theta_2)\right)\\\\$

We can abbreviate them into the shorthand form

$z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\$

The notation "cis" stands for "cosine i sine".

Now that we have those complex numbers set up, multiplying them is as simple as saying this:

$z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)$

We do two basic things:

Multiply the r values out front
Add the theta values inside the the cis function

---------------------------------------

With all that in mind, let's tackle the problem your teacher gave you.

The given complex numbers

$z_1 = 5*\left(\cos(15^{\circ})+i*\sin(15^{\circ})\right)\\\\z_2 = 3*\left(\cos(70^{\circ})+i*\sin(70^{\circ})\right)\\\\$

abbreviate into

$z_1 = 5*\text{cis}(15^{\circ})\\\\z_2 = 3*\text{cis}(70^{\circ})\\\\$

then those multiply to

$z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)\\\\z_1*z_2 = (5*3)*\text{cis}(15+70)\\\\z_1*z_2 = 15\text{cis}(85^{\circ})\\\\z_1*z_2 = 15\left(\cos(85^{\circ})+i\sin(85^{\circ})\right)\\\\$

which is why choice D is the final answer.

7 0

3 years ago

If when simplified results to a unit fraction and

tangare [24]

Answer:

a ≤ 39 ≠ 1

Step-by-step explanation:

3 0

2 years ago

Your house is located at point T. Your grandma's house is located at point V. U is the midpoint of segment TV. How far do you ne

Vladimir [108]

Answer:

Step-by-step explanation:

From the question given above, the following data were obtained:

TU = 8x + 11

UV = 12x – 1

Next, we shall determine the value of x.

From the question:

U is the midpoint. This means that TU and UV are equal i.e

TU = UV

With the above idea in mind, we shall determine the value of x as follow:

TU = UV

TU = 8x + 11

UV = 12x – 1

8x + 11 = 12x – 1

Collect like terms

11 + 1 = 12x – 8x

12 = 4x

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Next, we shall determine the length of TU and UV. This can be obtained as follow:

TU = 8x + 11

x = 3

TU = 8(3) + 11

TU = 24 + 11

TU = 35

UV = 12x – 1

x = 3

UV = 12(3) – 1

UV = 36 – 1

UV = 35

Finally we shall determine the length of TV. This can be obtained as follow:

TV = TU + UV

TU = 35

UV = 35

TV = 35 + 35

TV = 70

Therefore, the distance between my house and grandma's house is 70.

NOTE: Assume the distance is measured in kilometer (km)

This means that I will travel 70 km from grandma's house to my house.

5 0

3 years ago

MATH ANYONE PLEASE HELP

BartSMP [9]

3/8 is the answer to this question

8 0

3 years ago

Read 2 more answers

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

NeX [460]

Answer:

0.09

Step-by-step explanation:

Given that 50% of this population prefers the color green.

Let p the probability that one person selected from the population prefer the green color of the car. So,

p=0.05

There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.

By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is

$P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)$