A line passes through the point (-4,-20) and has a slope of 3. Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form

Answer:

Hi! The answer to your question is [tex]-3[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.

The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.

The two diagonals are perpendicular so angle 8 would be 90 degrees.

The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.

Here are all the angles:

1 = 58

2 = 58

3 = 32

4 = 32

5 = 32

6 = 58

7 = 58

8 = 90

Now just pick the correct answers

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft

Hombre, no lo sé, pero estoy feliz de hablar

Answer:

yes sir/ma'am omw

Step-by-step explanation:

have a great evening

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

Answer:

0.4866 = 48.66% probability that the engine will fail before it is inspected

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Exponentially distributed with mean 900 hours.

This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]

If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?

This is [tex]P(X \leq 600)[/tex], which is:

[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]

0.4866 = 48.66% probability that the engine will fail before it is inspected

Answer:

(40/4) x 5 = 50 pages

Step-by-step explanation:

Answer:

50 pages

Step-by-step explanation:

You would have to cross multiply, 40/4 = x/5.

Then, you would get 200 = 4x.

Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)

Hope this helped you out!!

a. 759

b. 8769

c. 96699

d. 36754209

The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.

Answer:

39,739

Step-by-step explanation:

The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.

Answer:

-17

Step-by-step explanation:

A linear equation is given and we need to solve out and find the value of x. So ,

⇒ x+5/ 3+11 = -1

⇒ x + 5 = 14 (-1)

⇒ x + 5 = -14

⇒ x = -5-14

⇒ x = -17

Answer:

-4;  -3;   -2;   0;  1;   3;

Step-by-step explanation:

Answer:

slope = 3/4

Step-by-step explanation:

(=^w^=)

can do 7-4/-5--9

3/4 woof

The slope of the line represented by the given data points is 3/4.

To find the slope of the line represented by the given data points, we can use the formula for slope:

slope = (change in y) / (change in x)

Let's calculate the changes in y and x using the given data points:

Change in y:

From y = 4 to y = 16, there is an increase of 16 - 4 = 12.

Change in x:

From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.

Now, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

= 12 / 16

= 3 / 4

Therefore, the slope of the line represented by the given data points is 3/4.

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Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

answer: where is the question?

Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1

Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545

Answer:

in geometry nation its in two solids of equal altitude, parallel to and at the same distance.

Step-by-step explanation:

just got it wrong :(

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.

To find:

Which of the four expressions are undefined, or not possible to calculate.

Steps:

Lets go through each option one by one

Option A:

[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.

[tex]-\frac{0}{2}= -0 = 0[/tex]

Since option A is defined. Now lets go to option B

Option B:

[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]

this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.

Therefore option B is undefined. We found out the answer but lets continue for learning purposes.

Option C:

0 ÷ 11 = [tex]\frac{0}{11}[/tex]

This expression is similar to the first expression, where zero is divided by any number.

[tex]\frac{0}{11} = 0[/tex]

Therefore option C is defined. Now let continue to option D

Option D:

[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]

In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate

Therefore option D is defined.

Happy to help :)

If u need any more help feel free to ask

Answer:

The area of the Triangle is 1/2 the area of the Rectangle

The answer is D.

Step-by-step explanation:

Ignore the area of the rectangle for the moment, just so you can get the answer.

Area Triangle = 1/2 * b * h

Area Triangle = 1/2 * 8 * 4

Area Triangle = 1/2 32

Area Triangle = 16 square feet.

The area of the rectangle = L * W

L = 8

W = 4

Area of the rectangle = 8*4 = 32

Answer:

90

Step-by-step explanation:

an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees

Answer:

i think your answer would be d

Step-by-step explanation:

The trophic level of an organism is the number of steps it is from the start of the chain

Answer:

D)

Step-by-step explanation:

It starts out with a leaf (1st trophic level)

the leaf then gets eaten by the caterpillar (2nd trophic level)

then, the chameleon eats the caterpillar ( 3rd trophic level)

next, the chameleon gets eaten by the snake ( 4th trophic level)

finally, the snake gets eaten by the mongoose ( 5th trophic level)

Therefore, there are 5 trophic levels

Answer:

C) 2parts that are one eight each.

Step-by-step explanation:

The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.

A) - 8 parts that are one fourth each.

  This cannot be correct because it would surpase the 2/8ths (would be over).

B) - 4 parts that are one-half each.

  This cannot be correct because it would surpass the 2/8ths (would be over).

C) - 2parts that are one eight each.

  This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.

D) - 2parts that are one fourth each.

  This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).

This makes the correct answer C).

  I hope this helps you understand and helps you in your question.

a. I will payoff about $243 and 67 cents each month.

b. I will pay a total interest of 39.24%.

How do credit card payoffs work?

They work on the principle of compound interest.

After one year, I have to pay $(4200*18)/100 =$756 extra

which means my principle amount for second year will be 4200+756=4956$

After second year, I have to pay $(4956*18)/100=$892.08 extra

Total payoff at the end of second year=$4200+$756+$892.08=$5848.08

Therefore, each month I need to pay (5848.08/24)=$243.67

To calculate the interest:

Interest= (Total amount payoff - initial balance)*100/initial balance

            =(5848.08-4200)*100/4200

            =39.24%

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Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.

Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

Lets convert 3 3/4 into improper fraction first.

[tex]3\frac{3}{4} = \frac{3 \times 4 + 3}{4} \\ = \frac{15}{4} [/tex]

[tex] \frac{3\frac{3}{4} }{ \frac{2}{5} } \\ = \frac{15}{4} \div \frac{2}{5} \\ = \frac{15}{4} \times \frac{5}{2} \\ = \frac{75}{6} \\ = \frac{25}{2} \: or12 \frac{1}{2} or \: 12.5[/tex]

Answer:

40 weeks

Step-by-step explanation:

1000 divided by 25=40

Answer:

It will take 4 hours to dig access to the garden.

Step-by-step explanation:

Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:

38 / π = X

38 / 3.14 = X

12.09 = X

12.09 / 3 = 4.03

Therefore, it will take 4 hours to dig access to the garden.

Answer:

It should be 115.2 meters^3

Step-by-step explanation:

Volume = 1/3 a^2h

             = 1/3 x 12^2 x 2.4

             = 115.2 m ^3