The complementary angle of 56° is

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-7/3*x-6)=0  

STEP

1

:

           7

Simplify   —

           3

Equation at the end of step

1

:

              7          

 y -  ((0 -  (— • x)) -  6)  = 0  

              3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        6     6 • 3

   6 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-7x - (6 • 3)     -7x - 18

—————————————  =  ————————

      3              3    

Equation at the end of step

2

:

      (-7x - 18)

 y -  ——————————  = 0  

          3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         y     y • 3

    y =  —  =  —————

         1       3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  -7x - 18  =   -1 • (7x + 18)  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

y • 3 - ((-7x-18))     3y + 7x + 18

——————————————————  =  ————————————

        3                   3      

Equation at the end of step

4

:

 3y + 7x + 18

 ————————————  = 0  

      3      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+7x+18

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+7x+18  = 0

Equation of a Straight Line

5.2     Solve   3y+7x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+7x+18  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -6/1 so this line "cuts" the y axis at y=-6.00000

 y-intercept = -18/3  =  -6  

Calculate the X-Intercept :

When y = 0 the value of x is -18/7 Our line therefore "cuts" the x axis at x=-2.57143

 x-intercept = -18/7  = -2.57143  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -10.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.667 - (-6.000) = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.667/2.000 = -2.333  

Geometric figure: Straight Line

 Slope = -4.667/2.000 = -2.333

 x-intercept = -18/7 = -2.57143

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

To learn more about the slope of a line visit:

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Answer:

Angle QPR = 64.5 degrees

Step-by-step explanation:

Answer:

D is the correct

Step-by-step explanation:

The pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

The AAS congruence theorem states hat two triangles can be proven to be congruent triangles if two angles and a non-included side of one triangle are congruent to corresponding two angles and a non-included side of the other triangle.

In image 4, ΔABC and ΔWXY has the following:

Therefore, the pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

Learn more about AAS on:

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3.468*10^6

Step-by-step explanation:

The answeris : y=35x+75

Answer:

STEP

1

:

Equation at the end of step 1

 ((3 • (x3)) -  32x2) -  12x  = 0

STEP

2

:

Equation at the end of step

2

:

 (3x3 -  32x2) -  12x  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x3 - 9x2 - 12x  =   3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 3x - 4

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -4

Step-1 : Multiply the coefficient of the first term by the constant   1 • -4 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

     -4    +    1    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1

                    x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-4)

            Which is the desired factorization

Equation at the end of step

4

:

 3x • (x + 1) • (x - 4)  = 0

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Step-by-step explanation:

I hope this helps

Answer:

The answer is

[tex] \huge y - 5 = 23(x + 4) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

[tex]y - 5= 23(x + 4)[/tex]

Hope this helps you

Answer:

hi how r u

Step-by-step explanation:

Answer:

-2a

Step-by-step explanation:

add -5a with 3a

- - - - -

+++

^see, two negatives are left

Answer:

(0,-3)

Step-by-step explanation:

Apex

Step-by-step explanation:

360 one gon 18 therefore 18*20=360

Answer:

Three different ways to write the ratio"5 to 7    5:7      5/7"   Three equivalent rations" 10:14     15 :21       20:28

Step-by-step explanation:

Answer:

You can find out x and y  by solving these equations simultaneously.

First case:

according to the opposite angle theorem, (18y+5)° = (10x-61)°

Now let's simplify them;

18y-10x = -66

y= (10x-66) ÷ 18......................(i)

Second case:

Around that centre, it is always 360°.

And the angle opposite to the (x+10)v is also (x+10)°.

And sum of these 4 angles is 360°.

(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°

18y + 12x -36 = 360°

18y + 12x = 396...........................(ii)

Now replace the value of y from (i) into (ii):

18 ((10x-66) ÷ 18) +12x =396

(10x-66) +12x = 396

22x -66 = 396

22x = 462

x = 21

Now let's put this value of x into our equation (i):

y= (10(21)-66) ÷ 18

y= 8

Cheers :)

$1.20

explanation:

h + 2d = 6

2h + 2d = 9.60

-2h - 4d = -12

2h + 2d = 9.60

- 2d = - 2.4

d = $1.20

The cost of 1 drink is required.

The cost of 1 drink is $1.20.

Let cost of 1 hamburger be [tex]x[/tex]

cost of 1 drink be [tex]y[/tex]

The equations will be

[tex]x+2y=6[/tex]      [tex]\times2[/tex]

[tex]2x+2y=9.6[/tex]

[tex]2x+4y=12[/tex]

[tex]2x+2y=9.6[/tex]

Subtracting the equations

[tex]2y=2.4\\\Rightarrow y=\dfrac{2.4}{2}\\\Rightarrow y=1.2[/tex]

The cost of 1 drink is $1.20.

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Answer:

Perimeter is 30

Step-by-step explanation:

The formula is

P=2(l+w)

Answer:

P is 30cm

Step-by-step explanation:

Let's transform it into an expression:

P = 2w + l2

P = (5×2) + (10×2)

P = 10 + 20 = 30 cm

Answer:

x+y = 8

x3 + y3 = 20 ...this system represents the given statements.

Use the factoring rule for sum of cubes:

(x+y)(x2+xy+y2) = 20. By substituting for the linear factor, you get

8(x2+xy+y2) = 20   or   2(x2+xy+y2) = 5.

Now substitute for y; y = 8-x and you will have a (maybe not so nice) quadratic equation in x, which you can solve by Quadratic Formula (if factoring isn't obvious).

you get to finish this job.

Step-by-step explanation:

Brainleist would be appreciative

Answer:

brainliest?

Step-by-step explanation:

Step-by-step explanation:

you simplify your answer and write it as proper fraction

Answer: its 2/6 is the answer the choices don't make cense

Step-by-step explanation:

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20

Answer:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

Answer:

Additive Inverse

Step-by-step explanation:

They are the same fraction...EXCEPT one is (-), and + and - are the inverse of each other

HOPE THIS HELPS

Answer:

12=-3(-7.5)-10.5

Step-by-step explanation:

first find the slope

m=y2-y1/x2-x1

0-12=(-12)

-3.5-(-7.5)=4

-12/4=(-3)

now write the equation

y=mx+b

12=-3(-7.5)+b

now solve

-3*-7.5=22.5

22.5-22.5=0

12-22.5=(-10.5)

b=-10.5

hope this helps :3

if it did pls mark brainliest

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer:

39

Step-by-step explanation:

5x+9

5(6)+9

30+9

39

Answer:

39

Step-by-step explanation:

first 5 times 6 since x=6. that equals 30. 30 plus 9 is 39.

hope this helps :)