Solve 2x + 3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y=mx+3.

Answer:

n = 10

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

-2 = -(n - 8)

Step 2: Parenthesis (distribute)

-2 = -n + 8

Step 3: Subtract 8 on both sides

-10 = -n

Step 4: Divide both sides by -1

10 = n

Step 5: Rewrite

n = 10

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2=-(n-8)[/tex]

First, divide both sides by -1. The left will become positive, and the negative in front of the parentheses will be canceled:

[tex](-2)/-1=(-(n-8))/-1\\2=n-8[/tex]

Add 8 to both sides. The right cancels:

[tex]2+8=(n-8)+8\\n=10[/tex]

So, the value of n is 10.

And we're done!

Answer:

x = 4/7

Step-by-step explanation:

[tex]2\left(3x-1\right)=5-\left(x+3\right)\\\\\mathrm{Expand\:}2\left(3x-1\right):\quad 6x-2\\\\\mathrm{Expand\:}5-\left(x+3\right):\quad -x+2\\6x-2=-x+2\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\6x-2+2=-x+2+2\\\\Simplify\\6x=-x+4\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\6x+x=-x+4+x\\\\Simplify\\7x=4\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}=\frac{4}{7}\\\\x=\frac{4}{7}[/tex]

Answer:

x = 4/7

Step-by-step explanation:

2(3x – 1) = 5 – (x + 3)

Distribute

6x -2 = 5 -x -3

Combine like terms

6x -2 = 2-x

Add x to each side

6x +x -2 = 2-x+x

7x -2 = 2

Add 2 to each side

7x-2+2 =2+2

7x =4

Divide by 7

7x/7 = 4/7

x = 4/7

Answer:

B

Step-by-step explanation:

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

From the graph, we can see that the span of x-values covered goes from x=-2 to x=1.

However, note that while at x=-2, the dot is closed, while at x=1, the dot is open. This means that we do not include the point at x=1. Therefore, the domain is all values of x between x=-2 and x=1 not including x=1.

In set notation, this is:

[tex]\{x|-2\leq x<1\}[/tex]

Thus, the domain is all values greater than or equal to -2 but less than 1.

For the range, we can see that the graph spans from y=-4 to y=2. Again, at y=2, the dot is open. Thus, we do not include y=2 in our range.

In set notation, this is:

[tex]\{y|-4\leq y<2\}[/tex]

This is interpreted as all y-values greater than or equal to -4 but less than 2.

The answer is B

Answer:

1 pint=32    1 quart=64    1 gallon=256

Step-by-step explanation:

Answer:

x = [tex]\frac{3c-4y}{m}[/tex]

Step-by-step explanation:

Given

mx + 4y = 3c ( subtract 4y from both sides )

mx = 3c - 4y ( divide both sides by m )

x = [tex]\frac{3c-4y}{m}[/tex]

Answer:

[tex]g(x)=-4x+9[/tex]

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+9[/tex]

To reflect across the y-axis, instead of x, use -x. Therefore:

[tex]g(x)=f(-x)=4(-x)+9[/tex]

Simplify:

[tex]g(x)=-4x+9[/tex]

And that's our answer :)

Answer:Step-by-step explanation: 13:10

Answer:

w = (-6)/7

Step-by-step explanation:

Solve for w:

-w/2 - 3/5 = w/5

Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.

Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:

(-5 w)/10 - 6/10 = w/5

Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.

(-5 w)/10 - 6/10 = (-5 w - 6)/10:

(-5 w - 6)/10 = w/5

Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (-5 w - 6))/10 = 2 w

Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.

(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:

-5 w - 6 = (10 w)/5

Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

-5 w - 6 = 2 w

Hint: | Move terms with w to the left hand side.

Subtract 2 w from both sides:

(-5 w - 2 w) - 6 = 2 w - 2 w

Hint: | Combine like terms in -5 w - 2 w.

-5 w - 2 w = -7 w:

-7 w - 6 = 2 w - 2 w

Hint: | Look for the difference of two identical terms.

2 w - 2 w = 0:

-7 w - 6 = 0

Hint: | Isolate terms with w to the left hand side.

Add 6 to both sides:

(6 - 6) - 7 w = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

-7 w = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -7 w = 6 by -7:

(-7 w)/(-7) = 6/(-7)

Hint: | Any nonzero number divided by itself is one.

(-7)/(-7) = 1:

w = 6/(-7)

Hint: | Simplify the sign of 6/(-7).

Multiply numerator and denominator of 6/(-7) by -1:

Answer: w = (-6)/7

Answer:

-5/10w - 3/5 = 2/10w

- 3/5 = 7/10w

-30 = 35w

-30/35 = w

-6/7 = w

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

[tex] \sqrt{4} = 2[/tex]

Step by step explaination:

[tex] \sqrt{4} \\ = \sqrt{ {2}^{2} } \\ = 2[/tex]

[tex]\sf\therefore \sqrt{4}=? [/tex]

[tex]\sf\implies \sqrt{ 2 \times2} [/tex]

[tex]\sf\implies \sqrt{2^2} [/tex]

[tex]\sf\implies 2[/tex]

[tex]\large{\boxed{\bf{ \implies \:2\:}}}[/tex]

Answer:

its 10.86

Step-by-step explanation:

add the whole numbers, the add the decimals

8 + 2= 10

.08 + .78 = .86

or 8 + 78 = 86

Answer: -6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

Hope this helps!! :)

Please let me know if you have any question

Answer:

n = -6

Step-by-step explanation:

Alright so this can be solved by using variables. Let's say n = number.

4 subtracted from twice a number can be represented as 2n - 4.

10 less than the number can be represented as n - 10.

Since the outcome of the first expression is equal to the second, we can set them equal to each other to solve:

2n - 4 = n - 10.

Then you isolate n by adding 4 to both sides...

2n = n - 6,

... then subtracting n from both sides:

n = -6

There you go!

Answer:

27 − 109 t − 10 s

Step-by-step explanation:

Use Distributive Property and Simplify

9x3 =27

9x3t = 27t

27t-2t =25t

Equation so far: 27 + 25t

Next Pair of Perentheis

-10x8t =(-80t) (Remeber a Negative time a positive is still a negative)

-10xs =(-10s)

Put it all together and your answer is;

27 − 109 t − 10 s

Answer:

it's 27 − 109t − 10s

Step-by-step explanation:

Follow PEMDAS and the Distributive Property

Answer:

Step-by-step explanation:

The midpoint M of a line segment with two endpoints can be found using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The endpoints are (-2,-4) and (6,8)

The midpoint is

[tex]M = ( \frac{ - 2 + 6}{2} , \frac{ - 4 +8 }{2} ) \\ = ( \frac{4}{2} , \frac{ 4 }{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:  n =-4

Step-by-step explanation:

-52 = 4(3n -1)    Apply the distributive property

-52 = 12n -4    

+4             +4

  -48 = 12n

n = -4

Answer:

Step-by-step explanation:

To prove a quadrilateral a parallelogram we prove,

1). Length of opposite sides are equal.

2). Slopes of the opposite sides are same.

Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2+1)^2+(-5+2)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of BC = [tex]\sqrt{(2-1)^2+(-5+2)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Length of CD = [tex]\sqrt{(1+2)^2+(-2-1)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of AD = [tex]\sqrt{(-1+2)^2+(-2-1)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Therefore, AB = CD and BC = AD (Opposite sides are equal in length)

Slope of AB = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{-5+2}{2+1}[/tex]

                    = -1

Slope of BC = [tex]\frac{-5+2}{2-1}[/tex]

                    = -3

Slope of CD = [tex]\frac{1+2}{-2-1}[/tex]

                    = -1

Slope of AD = [tex]\frac{-2-1}{-1+2}[/tex]

                    = -3

Slope of AB = slope of CD and slope of BC = slope AD

Therefore, AB║CD and BC║AD

Hence ABCD is a parallelogram

Answer: option 1. -3/4

Step-by-step explanation:

coefficient: the number before a variable (but must be bounded with it)

------------

-3/4 a

coefficient: -3/4 (-3/4a)

Hope this helps!! :)

Please let me know if you have any question

Answer:

D. none of these

Step-by-step explanation:

apples:       6 pounds

oranges:   24 pounds

bananas:     3 pounds

total:          33  pounds

answer:

D. none of these

Answer:

6

Step-by-step explanation:

|-6| = 6

Answer:

6

Step-by-step explanation:

you can also understand absolute value as the distance in the number line from -6 to 0

and that's 0-(-6)

=6

so

|-6|=6

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

Answer:

P=24

A=24

Step-by-step explanation:

To get the perimeter and area of this figure, first we would have to get the value of c using the Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(8)^2=c^2

36+64=c^2

100=c^2

10=c

Perimeter= a+b+c

P=6+8+10

P=14+10

P=24

A=1/2*b*h

A=1/2*6*8

A=3*8

A=24

Hope this helps ;) ❤❤❤

Answer:

3² + 6 × 2² - 4² ÷ 2³ = 31.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3^2=9

2^2=4

-4^2= -16

2^3=8

9+6*4-16/8=31

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

Answer:

144 square feet

Step-by-step explanation:

a square has 4 equal sides + perimeter is the addition of n sides in an n sided shape. 48/4 = 12 so there is 12 feet per side. Area is length times height so 12 x 12 or 144. Two terms multiplied create a square feet so answer is c

Answer:

Step-by-step explanation −2=x

Answer:

F = 100 + 0.1d

Step-by-step explanation:

Then equation to find a fee per vertical distance:

So the fee for climbing vertical distance is $0.1 per meter.

Then, required equation is:

Answer:B

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

y + 6 = -3y + 26

4y + 6 = 26

4y = 20

y = 5

Answer:

Y=5

Step-by-step explanation:

1 Subtract 6 from both sides.

y=−3y+26−6

2 Simplify   -3y+26-6−3y+26−6  to  -3y+20−3y+20.

y=−3y+20

3 Add 3y to both sides.

y+3y=20

4.Simplify y+3y to 4y

4y=20

5 Divide both sides by 4.

y=20/4

Simplify 20/4

y=5

Answer:

18 ( 2+3)

Step-by-step explanation:

36 + 54

We can factor out 18 from both terms

18*2 + 18*3

18 ( 2+3)

Answer:

-30[tex]b^{6}[/tex]

Step-by-step explanation:

-4b^6 + -24b^6 = -30b^6

Answer:

You cannot

Step-by-step explanation:

You cannot multiply a 2×3 matrix by a 2×2 matrix. The number of columns in the first matrix ( 3 ) is not the same as the number of rows in the second matrix ( 2 ).

Answer:

-4

Step-by-step explanation:

-4x is a term

Coefficient of variable x = -4