Write an equation of the line that passes through (-6,0) and (0,-24)

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

[tex]3x ^{2} - 6x - 4 = 0[/tex]

[tex]by \: quadratic \: formula[/tex]

[tex](-b±√(b²-4ac))/(2a) [/tex]

[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]

[tex](6±√(36 + 48)/(6) [/tex]

[tex](6±√(84)/(6) [/tex]

[tex](6±2√21)/6[/tex]

[tex]2(3±√21)/6 [/tex]

[tex]3±√21/3[/tex]

[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]

[tex]3 + \sqrt{21} /3[/tex]

[tex]3 + 4.58/3[/tex]

[tex]7.48/3[/tex]

[tex]2.52[/tex]

[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]

[tex]3 - 4.58/3[/tex]

[tex] - 1.58/3[/tex]

[tex] - 0.52[/tex]

[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]

Answer:

6

Step-by-step explanation:

a^2+b^2=c^2

(3√(2))^2=18

(3√(2))^2+(3√(2))^2=36

√36=6

hypto=6

Answer:

x = 9

Step-by-step explanation:

5x + 5x - 90 = 0

5x + 5x = 90 + 0

5x + 5x = 90

10x = 90

x = 9

Hope that helps!

-Sabrina

Answer:

188,000

Step-by-step explanation:

JH = mid-segment of triangle KLM.

ML = 22

(1/2)(ML) = 11

JH = (1/2)(ML) = x

So, x = 11.

Answer:

x = 5

Step-by-step explanation:

18 + 9 = 27

27/9 = 3

3x = x + 10

2x = 10

x = 5

Answer:

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Given that:  

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

Substitute the given values, to find the value of x;

By cross multiply we have;

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units

Answer:

60°

Step-by-step explanation:

each interior angle of a regular hexagon measures 120° (720° divided by 6 sides)

therefore, each exterior angle measures 180-120 = 60°

Answer:

Radius R = 9 ft

Step-by-step explanation:

Given:

Volume of sphere =  972π ft³

Find:

Radius R

Computation:

Volume of sphere = (4/3)πr³

972π = (4/3)πr³

729 = r³

Radius R = 9 ft

Answer:

p = 6

Step-by-step explanation:

[tex](x^{2})(x^{2})^{2}[/tex]

[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]

The equation is now [tex](x^{2} )(x^{4})[/tex]

add the two exponents together 2 + 4

the final answer is [tex]x^{6}[/tex]

Answer:

7

Step-by-step explanation:

ok so it 7 but 10 is out so is 3

-2x-3=-7

add 3 to both sides

-2x=-4

isolate x by diving both sides by -2

Answer: x=2

Hope that helps!

Please mark brainliest

Answer:

x = 2

Step-by-step explanation:

The whole goal when solving problems like this is to get the x alone. So the first step would be to get the -3 over to the other side. To do this, you would add 3 to each side of the equation, so that the -3 on the left side cancels out.

-2x - 3 = -7

+3          +3

-2x = -4

The next thing you need to do is divide each side by -2. You would do this because right now, the equation reads "negative two times x equals negative four". When you divide a multiplication problem, it cancels out, so you are left with just the x.

-2x = -4

÷ -2    ÷ -2

x = 2

You now have the value of x.

Please let me know if you need any more help. I hope this explanation helps you understand a bit better. Have a great day! :)

Answer:

The answer is letter A.

Step-by-step explanation:

 The amount that each company charges per hour on the pool is known, however the amount of hours they will be working is not, and is needed to distinguish which company is cheaper. Therefore, the number of hours is  substitued by x and it is right next to the amount they charge for each hour. To find what each company charges, you must sum up what they charge and what they charge per hour, times the hours they will have to work on it( which is unknown and by x).

Answer:

The answer is C

Step-by-step explanation:

Answer: )D

Step-by-step explanation:

Answer:

the answer is 8 hope it helped <3

Step-by-step explanation:

Answer: 8,

I apologize if I'm wrong. Good luck!

Step-by-step explanation:

First, you need to do parenthesis, 1-0.80=0.2

Then, you do exponents, 0.2^2=0.04

Last, you do 200x0.04=8

Answer:

y = -2/5x-6

Step-by-step explanation:

i hope this helps :)

Answer:

1. His tax is $37,490.

2. His average effective tax rate is 22%

3. His average tax rate is 24.93%

4. His marginal tax rate is 35%.

5. His tax liability will fall by $170

6. His tax liability will fall by $500.

Step-by-step explanation:

Note: This question is not complete. See the attached pdf file for the complete question.

The explanation of the answer is now given as follows:

1. What is his tax?

Note: See the attached excel for Mr. Hoosier's Tax Computation Based on the Tax Table in the question.

From the attached excel file, the Net tax is $37,490 which is his tax.

Therefore, his tax is $37,490.

2. His average effective tax rate

His average effective tax rate = Tax /  (Taxable income + Tax exempt income) = Tax /  (Taxable income +Municipal Bond interest) = $37,490 / ($150,400 + $20,000)  = 0.2200, or 22%

3. His average tax rate

Average tax rate = Tax / Taxable Income = $37,490 / $150,400 = 24.93%

4. His marginal tax rate

His marginal tax rate is 35% as in the tax computation used based on the tax table.

5. Assume he discovers that he is eligible for a 500 tax deduction. How much does his tax liability fall with that addition?

Taxable income = 150400 - 500 = $149,900

Based on the tax table in the question, we have:

Tax = 8850 + (149900 - 55000) * 30% = $37,320

Reduction in tax liability = $37,490 - $37,320 =$170

Therefore, his tax liability will fall by $170

6. Now he discovers that he is eligible for a $500 tax credit. How much does his tax liability fall due to this credit?

The purpose of the tax credit is to make tax liability reduced dollar by dollar.

Therefore, if he discovers that he is eligible for a $500 tax credit, his tax liability will fall by $500.

Answer:

6s2

= 6(2)2

= 12 × 12

= 144

: The value of the expression is equal to 144

Answer:

for the boys it is 92 then 58 and the total is 150 an then 68 for the girls then for the total it is 100

The missing values in the two-way table is shown in the table in the image attached below.

A two-way table can be described as a table that displays the frequencies of two categorical variables, in such a way that, one category is represented by columns and the other by rows.

Given the information, the missing values in the two-way table would be:

Total number of boys enrolled = 150

Boys that enrolled in Algebra 1 = 2(46) = 92

Boys that enrolled in Algebra 2 = 150 - 92 - 46 = 12

Girls that enrolled in Algebra 1 = 150 - 54 - 28 = 68

Total for boys and girls that enrolled in Geometry = 46 + 54 = 100.

Therefore, the missing values in the two-way table is shown in the table in the image attached below.

Learn more about two-way table on:

https://brainly.com/question/20744563

Answer:

its 14

Step-by-step explanation:

Answer:

I think it's C is true but make sure

Answer:

Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....

Step-by-step explanation:

heres a graph

Answer:

D. 110

Step-by-step explanation:

CDHK ≅ MPTS

So: D = P

P = 110°

D = 110°

Answer: 7740

Step-by-step explanation: take 180(n-45) and n represents the sides

The sum of the measures of the interior angles of a convex 45-gon.​

is 7740.

It is a polygon having six faces.

The volume of a cube is a side³.

We have,

Polygon with side = 45

Sum of interior angles of any polygon = (n - 2) x 180 ______(1)

Now,

n = 45

So,

Substituting n in (1)

(n - 2) x 180

= (45 - 2) x 180

= 43 x 180

= 7740

Thus,

The sum of the measure of the interior angles is 7740.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

Answer: 84

Step-by-step explanation: do 42 dived by 50% gets you 84

Answer:

I dont really know but I can tell you for sure its one of the first 2

Step-by-step explanation:

Answer:

56x+12y-10.6

Step-by-step explanation:

The multiple choice answer is B.

Answer:

Step-by-step explanation:

2(14y-3y+28x+12.2-5y-17.5) = 2(14y - 3y - 5y + 28x  + 12.2 - 17.5)

                                           = 2( 6y  + 28x - 5.3)

                                            = 2*6y + 28x* 2  - 5.3*2

                                           = 12y + 56x - 10.6

Answer:

Step-by-step explanation:

100 is the smallest three-digit number. 999 is the highest three-digit number. 102 is the smallest three-digit number divisible by six. 996 is the largest three-digit number divisible by six.

Answer:

Step-by-step explanation:

The largest 3-digit multiple of 6 that uses digits 4 and 4.

The multiple of 6 is an even number which is divisible by 3.

Numbers are only divisible by 3 if the sum of the digits is divisible by 3.

We have 4 + 4 = 8 and the largest digit to add is 7.  

Proof:

Respuesta:

Botella, B = 0.5

Jarra, C = 2,5

Explicación paso a paso:

Dejar :

Garrafa = C

Botella = B

C = 5B - - - - 1)

3 garrafas más 7 botellas = 11 litros

3C + 7B = 11

C = 5B

3 (5B) + 7B = 11

15B + 7B = 11

22B = 11

B = 11/22

B = 1/2 = 0,5

Sustituyendo B = 0.5 en 1)

C = 5B

C = 5 (0,5)

C = 2,5

Answer:

C I think

Step-by-step explanation: