Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4

Answer:

The answer is 13! which equals 6227020800.

Answer:

4 + 7 = 11

Step-by-step explanation:

Subtracting a negative means adding.

To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.

4 - (-7) = 4 + 7 = 11

Answer:

4+7

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Answer:

Step-by-step explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]

Answer:

x-3i

Step-by-step explanation:

Answer:

11 / 12 m

Step-by-step explanation:

11/3 - 11/4

LCM= 4*3=12

11/3 * 4/4 = 44/12

11/4 * 3/3 = 33/12

11/3 - 11/4

44/12-33/12= 11/12

Answer:

1/12

Step-by-step explanation:

First, simply convert the fractions into an improper fraction.

1 1/3= 4/3

1 1/4= 5/4

Then make conevrt it so the denominator  is the same. In this case, the denominatorwould be 12.

4/3= 16/12

5/4=  15/12

Finally subtract regularly.

16/12-15/12= 1/12

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

Answer:

Step-by-step explanation:

Start by separating (not factoring) -5x.  For example, we might get {-2x, - 3x} (note how these combine to produce -5x).  Might have to try several combinations to find the right one.

Then 3x^2 -5x -2=0 could possibly be x(3x - 2) - (3x - 2), or

                                                                x(3x - 2) - 1(3x - 2).

Notice how the factor (3x - 2) shows up twice.  If we factor out (3x - 2) we are left with (x - 1).  We check these results by multiplying (3x - 2) and (x - 1) together, so we can be sure that the result is the original 3x^2 -5x -2=0.

(3x - 2)(x - 1) = 3x^2 - 3x - 2x + 1 results in 3x^2 - 5x + 2.  Unfortunately, the sign of that 2 is incorrect; we'd hoped for -2, not +2.

To check this further, I used synthetic division with 1 as divisor; the remainder is -4, which tells us that (x - 1) is not a factor of 3x^2 -5x -2=0.

Please double check to ensure that you have copied this problem down correctly.

Answer:

A) Constructing a line perpendicular to a point on a line

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

Answer:

Colin is wrong

Explanation given below..

Hope it helps!

Step-by-step explanation:

No he's is not correct because the number of pages in January was 30 while the number of pages in March was 20. 20 is not half of 30 and hence it can be concluded that Colin is wrong. For the statement to be correct the number of lates in march should be 30/2 that is equal to 15.

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

Answer:

336

Step-by-step explanation:

Given That:

Days : 7 - 1 = 6

Number of papers per day : 56

SO,

all papers: 56 x 6 = 336

Hope this helps.

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

Total surface area of all the lakes combined is 24.5×10¹⁰

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.

Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰

                               =24.5 ×10¹⁰

Hence, total surface area of all the lakes combined is 24.5×10¹⁰

Learn more about the Total surface area here:

https://brainly.com/question/15584129

#SPJ2

Answer:

9n-5

Step-by-step explanation:

Let n=the number:

9n-5

Answer:

384m

Step-by-step explanation:

24 x 4 = 96

96 x 4 = 384

Answer:

the real answer is 96

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3 is too high up to be in the middle of the line, so the y value must be [tex]\frac{3}{2}[/tex] and this eliminates C and D as possible answers. -7 is too far back on the y axis, so this eliminates A. We are left with B.

Answer:

Step-by-step explanation:

Take you ruler and draw a horizontal line from point (0,-2)

When you do, the point where y = -2 is when x = - 3

Answer:

x = -3

Step-by-step explanation:

the question asks for what x the function = -2

if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0

Answer:

x=2

Step-by-step explanation:

6x−5=13−3x

Step 1: Simplify both sides of the equation.

6x−5=13−3x

6x+−5=13+−3x

6x−5=−3x+13

Step 2: Add 3x to both sides.

6x−5+3x=−3x+13+3x

9x−5=13

Step 3: Add 5 to both sides.

9x−5+5=13+5

9x=18

Step 4: Divide both sides by 9.

[tex]\frac{9x}{9}[/tex]= [tex]\frac{18}{9}[/tex]

x = 2

Answer: x=2

Step-by-step explanation:

Start by adding 3x to 6x, this eliminates the variables on the right side of the equation and leave you with 9x-5=13. From here, add five to both sides of the equation, which cancels out on the left side and leads you to have 18 on the right side. Remember that you want to have a lone variable, so you take the current equation of 9x=18 and divide both sides by 9, which cancels out on the left side and leaves the right side as 2. Therefore, x=2.

Answer:

Step-by-step explanation:

2^(3-5)

=2^-2

Answer:

[tex] \frac{ {2}^{4 + 3} }{2^{5 + 4} } [/tex]

[tex] \frac{ {2}^{7} }{2^{9} } [/tex]

= 2^7-9

= 2^-2

Answer:

See explanation

Step-by-step explanation:

During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!

Answer:

x = y / (4x+11)

Step-by-step explanation:

y = 4x^2 + 11x

4x^2 + 11x - y = 0

4x^2 + 11x = y

x(4x + 11) = y

x = y / (4x+11)

-6(4 + 5v) - 3 = -57

Use distributive properties

-24 -30V -3 = -57

Combine like terms

-27 -30v = -57

Add 27 to both sides

-30v = -30

Divide both sides by -30

V=1

Answer:

v = 1

Step-by-step explanation:

-6(4 + 5v) - 3 = -57

Add 3 to each side

-6(4 + 5v) - 3+3 = -57+3

-6(4 + 5v)  = -54  

Divide by -6 on each side

-6(4 + 5v)  / -6 = -54/-6

4+5v = 9

Subtract 4 from each side

4+5v-4 = 9-4

5v = 5

Divide each side by 5

5v/5 = 5/5

v =1

Answer:

y=2 when x=2

Step-by-step explanation:

3(2)=6

6+6y=18

6y=18-6

6y = 12

6y/6 = 12/6

y=2

Answer:

y=2 when x=2

Step-by-step explanation:

Did it on edge

Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

Answer:

1/20

Step-by-step explanation:

5%

Percent means out of 100

5/100

Divide top and bottom by 5

1/20

Answer:

HI THERE,THE ANSWER IS

B

Step-by-step explanation:

[tex]\frac{1}{20} \\[/tex] X 100%=5%

Answer:

Volume of Cone =

[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]

Thus, Volume = 16.75 cubic feet

Answer:

³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS

Answer:

[tex]63[/tex]

Step-by-step explanation:

[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]

Answer:

3/8

Step-by-step explanation:

We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.

There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:

12/16 = 3/4

Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:

6/12 = 1/2

Therefore, the probability that a male is selected and that the male has a college degree is:

3/4 * 1/2 = 3/8