I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3

Answers

Answer 1

Answer:x=4 y =1

Step-by-step explanation:

your welcome

Answer 2

Answer:

x = 4, y = 1

Step-by-step explanation:

Substitute the y in the first equation for x-3

X + 2(x-3) = 6

3x -6 = 6

3x = 12

x = 4

Plugging 4 into the second equation

y = 4-3

y = 1


Related Questions

Factorize the following expression ab-a-b+1

Answers

Group 'em together

a b − a + 1 − b

a b − a = a ( b − 1 )

Notice that there will be a 1 as without it it'll simply be  ab

1 − b = 1 ( 1 − b )

Notice that it doesn't match with the upper one... so we'll change the signs

1 ( 1 − b ) = − 1 ( b− 1 )

(try to multiply them now!!

Jot them down in one expression

a ( b − 1 ) − 1 ( b − 1 )

You get!!!!!!

( a − 1 ) ( b − 1 )

use factoring to solve
3x^2-11x-6=0

Answers

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

Simplify: x(x-2)-3x(2x-1)

Answers

Answer:

-5x^2 +x

Step-by-step explanation:

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

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

Answer:

x^2-2x-6x^2+3x

x^2+x-6x^2

-5x^2+x

Divide 8848 by 16(Show working)

Answers

Answer:

553

Step-by-step explanation:

              5  5    3

     ---------------------

16  /  8   8   4    8

        8   0

      ---------------

              8   4

              8   0

             ----------------

                    4    8

                     4   8

                   -----------

                            0

The quotient is 553.

                     4   8

                    ----------

                           0

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!

Answers

Answer:

-6 =x

Step-by-step explanation:

g(x) = -3x -8

g(x) = 10

10 = -3x-8

Add 8 to each side

10+8 = -3x-8+8

18 = -3x

Divide by -3

18/-3 = -3x/-3

-6 =x

Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.

Answers

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

solve v=1/3 bh for b

Answers

Answer:

3v/h = b

Step-by-step explanation:

1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3

3 * v = (1/3 bh) * 3     --> 3v = bh

divde both sides by h and you get 3v over h = b

3v/h = b

Hope this helps!

Answer:  

3v/h = b

Step-by-step explanation:

v = 1/3bh

3v = bh

3v/h = b

AEFG is located at E (0,0), F (-7, 4), and G (0,8). Which statement correctly classifies AEFG?
AEFG is a scalene triangle.
AEFG is an isosceles triangle.
AEFG is an equilateral triangle.
AEFG is a right triangle.

Answers

Answer:

ΔEFG is an isosceles triangle

Step-by-step explanation:

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Answers

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

What is the equivalent trig ratio to sin 25?

Answers

Answer:

The answer is "[tex]\bold{\cos 65}[/tex]"

Step-by-step explanation:

Given:

[tex]\Rightarrow \bold{\sin 25}\\[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\frac{\sin 25}{1}[/tex]

[tex]\therefore \tan \theta = \frac{\sin \theta }{cos \theta}[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\cos (90-65)[/tex]

The answer is "[tex]\bold{\cos 65}[/tex]".

Alberto sanded a wooden floor with his electric sander at a constant rate. Suppose
1
3
he sanded 40 square feet of floor in hours. How large an area would he have
5
sanded in 1 hour?​

Answers

He would have sanded 30 for 30 hours

O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answers.

Answers

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

What are the sums? Complete the equations.

-10 + 50

Answers

40 because 50-10= 40

Answer:

40

Step-by-step explanation:

-10+50

40

Graph the Inequality.

Answers

Answer:

x ≤ -7

Step-by-step explanation:

There is a filled in circle which means that it is either ≤ or ≥.

The graph is going to the left, which means it is ≤

The starting number is -7.

x ≤ -7

The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height

Answers

[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]

Answer:

[tex]20cm[/tex]

Step-by-step explanation:

[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Charlie invests £1200 at 3.5% per annum compound interest.

Work out the value of Charlie's investment after 3 years.

Answers

Answer:

£1,330.46

Step-by-step explanation:

Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]

Value of Charlie's investment after 3 years is £1,330.46

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

This would make a right triangle. Use the Pythagorean theorem to solve.

X = sqrt(14^2+ 3^2)

X = sqrt( 196 + 9)

X = sqrt(205)

X = 14.3178

Rounded = 14.3 miles

If f(x)=x^2+1 and g(x) = x-4 which value is equivalent to (f•g)(10)

Answers

f(x) = x2 + 1
g(x) = x - 4

(f o g)(x) = (x - 4)2 + 1
(f o g)(x) = x2 - 8x + 16 + 1
(f o g)(x) = x2 - 8x + 17
(f o g)(10) = 102 - 8(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37

Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working

Answers

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

The 4 pack is priced at £2.04

cost of one pack will be equal total price divided by no. of roll in one pack

cost of one pack will be  £2.04 /4 = £0.51

The 9 pack is priced at £4.68

cost of one pack will be  £4.68 /9 = £0.52

As price per toilet roll for  4 pack is  £0.51 which is less than

price per toilet roll for  9 pack which is  £0.52

4 pack priced at £2.04 is better value deal.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

Hosiste product of 2 and 5 shown on anumber ine?

Answers

[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

the nth term of a sequence is 3n2/2

Answers

Question:

The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

[tex]nth\ term = \frac{3n^2}{2}[/tex]

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]

[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]

[tex]5th\ term = \frac{75}{2}[/tex]

[tex]5th\ term = 37.5[/tex]

Hence, the 5th term of the sequence is 37.5

Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?

Answers

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

which expression is equivalent to 4(5x+3y)?
Just number 4

Answers

Answer:

Answer choice 4

Step-by-step explanation:

4(5x+3y)

By distributive property, this can be rewritten as:

4(5x)+4(3y)=

20x+12y

or answer choice 4. Hope this helps!

Answer:

4) 20x+12y

Step-by-step explanation:

You have to use distivtive property

I hope this helps

Can someone pls help me solve this problem! I really need help ASAP! Plz help plz help!

Answers

Answer:

R=6

Step-by-step explanation:

T+R+A=100

T=88 A=6 R=?

88+R+6=100

Move known numbers to other side

R=6

The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list?

Answers

Options

-2.5-2[tex]-1\dfrac{9}{10}[/tex]-1

Answer:

(B) -2

Step-by-step explanation:

Given the list

[tex]-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15[/tex]

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

-1 is greater than -1.5

Therefore, it cannot be our result.

The correct answer is -2.

Answer:

-2 i did i what he said then revewied my quiz and it was right

Step-by-step explanation:

A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

hope this helps you

Are AB→ and Ray −BA→ the same ray? Explain. both have an arrow pointing right over them}

Answers

Answer:

No

Step-by-step explanation:

No, they are not because ray AB starts at point A and continues forever while ray BA does the opposite, it starts at point B and continues forever.

3/16 Write as a decimal and as a percent

Answers

Answer:

0.1875 as a decimal and 18.75% as a percent

Step-by-step explanation:

0.1875 is the decimal. Move point over 2 spots right to get percent.

.1875 decimal and 18.75 as a percent

x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

Answers

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    [tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          = [tex]\frac{10-5}{2+2}[/tex]

          = [tex]\frac{5}{4}[/tex]

    Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'

    Then by the property of perpendicular lines,

          [tex]m_{1}\times m_{2}=-1[/tex]

          [tex]\frac{5}{4}\times m_{2}=-1[/tex]

                 [tex]m_{2}=-\frac{4}{5}[/tex]

   Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]

           y - y' = [tex]m_{2}(x-x')[/tex]

           y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]

           y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

This is the formula for the
area of a triangle. Solve the
equation for height, A

Answers

Answer: 2A/base = Height

Step-by-step explanation:

[tex]A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height[/tex]

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