The sum of three consecutive numbers is
42. Find the largest number in the set

Turn both equations into slope-intercept form [ y = mx + b ].

x + 3y = 3

~Subtract x to both sides

3y = 3 - x

~Divide 3 to everything

y = 1 - x/3

~Reorder

y = -1/3x + 1

4x + 3y = -6

~Subtract 4x to both sides

3y = -6 - 4x

~Divide 3 to everything

y = -2 - 4x/3

~Reorder

y = -4/3x - 2

Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.

Best of Luck!

Answer:

Hey, so this is what I got for them as equations. The 1st one is y=-1/3x+1, and the 2nd one is y=-4/3x-2.  Hope it helps

Step-by-step explanation:

Answer:

69.2km

Step-by-step explanation:

15km ÷ 13 mins = 1.153km (Average speed)

1 hour = 60mins

1.153km x 60 = 69.18km (Average speed in km/h)

69.18km = 69.2km (Rounded to 1 dp)

Answer:

answer is c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A. $6.65

Step-by-step explanation:

To find how much 1/6 is you divide $7.98 by 6 and so the answer is $1.33. Now multiply $1.33 by 5 to get 5/6 or get the answer $6.65.

Answer:

23/5

is the 4.6 fraction

The decimal 4.6 is equivalent to the fraction 23/5.

The whole number part of the decimal, which is 4, will be the numerator of the fraction.

The decimal part, which is 0.6, will be the numerator of the fraction divided by the appropriate power of 10.

In this case, the decimal has one digit after the decimal point, so we divide it by 10¹.

0.6 / (10¹)

= 0.6 / 10 = 6/10

Simplify the fraction if possible.

Both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case.

6/10 = (6/2) / (10/2) = 3/5

Therefore, the decimal 4.6 is equivalent to the fraction 4 3/5 or simply 23/5 after simplification.

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Answer:

850265

Step-by-step explanation:

Answer:

a)  g(-2) = -2

b)  g(1) = 1

c)  g(x) = 1 then x = 1 or -1

d)  D: {all reals}

     R: {y ≤ 2}

Step-by-step explanation:

Answer:

-91770x - 94y - 5140

Step-by-step explanation:

The square root of 1/64 is 1/8.

To find the square root of 1/64, we can simplify the fraction first by taking the square root of both the numerator and the denominator separately.

The square root of 1 is 1,

and the square root of 64 is 8:

So, √(1/64)

= √1 / √64

= 1/8

Therefore, the square root of 1/64 is 1/8.

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Step-by-step explanation:

117+114= 231

360-231= 129

Now find two numbers that add up to 129

Answer:

63°

Step-by-step explanation:

B + 117° = 180° (angles on the same side of transversal)

B = 180° - 117°

B = 63°

Answer:

THE SLOPE OF 7/4 IS 0

Answer:

[tex]\frac{circumference}{2\pi}[/tex]

Step-by-step explanation:

This is how you solve for radius if you have circumference.

Hope it helps!

Answer:

it would be a 25% increase.

Step-by-step explanation:

15-12 / 12 * 100 =

3/12 * 100 = 25

Answer: (4,1) and (8,2)

Step-by-step explanation: i did rise over run and it was fairly easy since the slope is a basic line that does have fractions or decimals

Answer:

90.84

Step-by-step explanation:

49.7+41.14= 90.84

Answer:

x= 18°

Step-by-step explanation:

90° = 3x + 2x

90° - 5x

x = 90°/5

x = 18°

Answer:

3.5

Step-by-step explanation:

-11-3, then that divided by -4.

Answer:

[tex](3+xz)(-3+xz)[/tex]

[tex](y^2-xy)(y^2+xy)[/tex]

Step-by-step explanation:

The Difference of Squares

Any difference of two squared monomial results in a factored form like shown below:

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Similarly:

[tex](a-b)(a+b)=a^2-b^2[/tex]

For a product of binomials to be a difference of squares, they must be in the described form.

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

(x-y)(y-x) can be rewritten as:

-(x-y)(x-y)

Since both binomials are identicals, the product will not result in a difference of squares.

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

(6-y)(6-Y)

Since both binomials are identicals, the product will not result in a difference of squares.

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

(3+xz)(-3+xz) can be rewritten as:

(xz+3)(xz-3). This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

[tex](3+xz)(-3+xz)=(xz)^2-9[/tex]

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

[tex](y^2-xy)(y^2+xy)[/tex]. This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

[tex](y^2-xy)(y^2+xy)=y^4-(xy)^2[/tex]

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

Summarizing:

(3+xz)(-3+xz)

[tex](y^2-xy)(y^2+xy)[/tex]

Answer:

Hope that helps

Step-by-step explanation:

It was constructed with the stones that held the Ten Commandments.

Answer:

all that was left of the second temple after the roans destroyed it

Step-by-step explanation:

You entered;

[tex]-6^{2}=(-1)(6)(6)=(-1)(36)=-36[/tex]

In order to get the answer that you intended;

[tex](-6)^{2}=(-6)(-6)=36[/tex]

Answer:

undefined

Step-by-step explanation:

To find the slope of the line between two points, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. Therefore, use the x and y values of the points (0,3) and (0,4) to find the slope. Substitute them into the formula in the right order:

[tex]\frac{(4)-(3)}{(0)-(0)} \\= \frac{4-3}{0-0}\\=\frac{1}{0}[/tex]

However, we can't divide 1 by 0. Therefore, the slope is undefined. (You could also graph the points to see that they form a vertical line, and all vertical lines have an undefined slope.)

Answer:

Simplifying

12x + 2y = 18

Solving

12x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

12x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

12x + 0 = 18 + -2y

12x = 18 + -2y

Divide each side by '12'.

x = 1.5 + -0.1666666667y

Simplifying

x = 1.5 + -0.1666666667y

Answer:

Hi

Step-by-step explanation:

First, you need to subtract both sides by 12x

12x+ 2y=18

-12x         -12x

That will give you: 2y= 18-12x

Next, you need to deviede both sides by 2

2y/2= 18-12x/2

That gives you the answer:

y= 18-6x

(im not 100%  sure but i think this is right, feel free to correct me)

Answer:

7(f-5)=28

f-5=28/7

f-5=4

f=9

Answer:18.4

Step-by-step explanation:if im correct like please

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

Answer: C

Step-by-step i just know