A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?

Answer:

15 + 18i

Step-by-step explanation:

(3 + 10i) - (-12 - 8i) = 3 + 10i - 12*(-1) - 8i*(-1)

                            = 3 + 10i +12 + 8i

                            = 3 + 12 + 10i + 8i  {Combine like terms}

                            = 15 + 18i

Answer:

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that [tex]P(B) = 0.25[/tex]

Probability that you receive both scholarships is 0.15

This means that [tex]P(A \cap B) = 0.15[/tex]

The probability that you get at least one of these scholarships is 0.37.

This means that [tex]P(A \cup B) = 0.37[/tex]

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]

Replacing with the values in this question

[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]

0.27 = 27% probability that you receive the TOG scolarship.

Answer:

64.3738

Step-by-step explanation:

Answer:

64km

Step-by-step explanation:

5miles= 8km

40/5= 8

8x8= 64km

Answer:

217/31=7. He needs to run 7 miles per day.

Answer:

E. 0.9953

Step-by-step explanation:

The computation of the p value is shown below:

According to the question

The participant choosen from 3 different state parks, r = 3

And there are 3 different age group, s = 3

So, degrees of freedom is

= (r-1) × (s-1)

= 2 × 2

= 4

And, the Test statistic is 15.01

Now

p-value = P(Chisq < 15.01 )

= 0.9953

In the chisquare table see the degree of freedom i.e. 4

Answer:

0.0047

Step-by-step explanation:

This is what college board says

The value 0.0047 is the probability that χ2 is greater than 15.01 in an χ2 distribution with (3−1)(3−1)=4 degrees of freedom.

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

Answer:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Answer:

A linear relation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

And if a line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's look at our lines.

The left one passes through the points (0, -3) and (-2, 0)

Then the slope of this line is:

a = (0 - (-3))/(-2 - 0) = 3/-2 = -(3/2)

Then the line will be something like:

y = -(3/2)*x + b

Knowing that this line passes through the point (0, -3), we know that when x = 0, we must have y = -3

Then:

-3 = (-3/2)*0 + b

-3 = b

So the first linear equation is:

y = -(3/2)*x - 3

Now let's look at the second line, this one passes through the points (0, 2) and (1, 0)

Then the slope of this line is:

a = (0 - 2)/(1 - 0) = -2

And we can write the line as:

y = -2*x + b

Knowing that this line passes through the point (0, 2), we know that when x = 0 we must have y = 0, replacing that we get:

2 = -2*0 + b

2 = b

Then the equation of this line is:

y = -2*x + 2

Now that we know both equations we can write our system as:

y = (-3/2)*x - 3

y = -2*x + 2

To solve it, we need to remember that y = y

then:

(-3/2)*x - 3 = y = -2*x + 2

(-3/2)*x - 3  = -2*x + 2

We can solve this for x.

2*x - (3/2)*x = 2 + 3

(1/2)*x = 5

x = 5((1/2) = 5*2 = 10

And to find the y-value, we need to input this x-value in one of the equations:

y = -2*10 + 2 = -20 + 2 = -18

Then the solution of the system is the point (10, -18)

Answer:

Step-by-step explanation:

Hhff

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]

[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]

=2.75

Answer: 38

Step-by-step explanation:

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Answer:

D

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )

x = - 4 ± 2[tex]\sqrt{5}[/tex] → D

The answer is a 441 cm area

Answer:

80.07 in^2

Step-by-step explanation:

The equation is given: SA = 2πrh

h (height) = 8.5

r (radius is half the diameter) = 3 / 2 = 1.5

SA = 2π (1.5) (8.5) =  80.07

9514 1404 393

Answer:

  A)  B = 37.2°, b = 309.1, c = 382.3

Step-by-step explanation:

You know the third angle must be ...

  B = 180° -131.6° -11.2°

  B = 37.2° . . . . . . eliminates choice D

You know the two missing sides are both longer than 99.3, eliminating choice C.

Since angle C is the largest angle, side c is the longest side, eliminating choice B.

By the process of elimination, we know the correct choice is A.

__

The Law of Sines will tell you the length of side C is related to the other triangle values by ...

  c/sin(C) = a/sin(A)

  c = (99.3 ft)×sin(131.6°)/sin(11.2°)

  c ≈ 382.3 ft . . . . matches choice A

Answer:

x = 2

BD = 41

Step-by-step explanation:

18x + 5 = 15x + 11

combine like terms:

3x = 6

x = 2

BD = 15(2) + 11 = 41

Answer:

21 times

Step-by-step explanation:

Answer:

20 Times

Step-by-step explanation:

Answer:

B. 15 y +8  x/ 6 x y

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Answer:

B

Step-by-step explanation:

Answer: x^2 +6x-27

Step-by-step explanation:multiply x and x. Multiply 9 and -3. multiply x and 9, then multiply x and -3. Add 9x+-3x= 6x

x^2 +6x -27

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

Answer:

your answer will be 699.78 km

Step-by-step explanation:

Answer: 2 x 27, 3 x 18, 6 x 9

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

Answer:

It will cost $12 to purchase 3/4 of the pan of brownies

Step-by-step explanation:

3/4 of 16 is equal to 12.

Hope this helps! Pls mark brainliest

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

From the given logarithmic values the value of log45 derived as 0.1590.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

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