The slope of the line whose equation is 3 x - 2 y = 4 is:

A. 2/3

B. -2

C. 3/2

Answer:

Step-by-step explanation:

2x + 3 = x/2 + 4

2x - x/2 = 4 - 3

3x/2 = 1

x = 1 (2) / 3

x = 2/3

substitute the value of x=2/3 back into the equation:

2(2/3) + 3 = (2/3)/2 + 4

4/3 + 3 = 1/3 + 4

Answer:

2.378

Step-by-step explanation:

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:

8/12

Step-by-step explanation:

Simplified = 2/3

Answer:

2/3

Step-by-step explanation:

1. 1 year is 12 months.

2. Divide 8 with 12.

8/12 = 2/3

3. The fraction would be 8/12, but simplified would be 2/3.

Hope this helped!

Answer:

The position of the equipment elevator is 315 feet deep.

The position of the elevator of the miners is 208 feet deep.

At that time, the equipment elevator is deeper.

Step-by-step explanation:

Observation: Seems the numbers are doubled. 77 instead of 7; 1313 instead of 13; 2929 instead of 29; and 1616 instead of 16.

Hence, the question is:

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 7 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 29 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 ​seconds? At that​ time, which elevator is​ deeper?

Step-by-step explanation:

From the question,

For the equipment elevator

Speed= 7 feet/second

For the elevator of the miners,

Speed= 13 feet/second

To determine the positions of each elevator relative to the surface, we will determine the distance each of the elevator descends.

From the formula

Speed= Distance / Time

Then,

Distance = Speed × Time

From the question,

The equipment elevator begins to descend and after 29 ​seconds, the elevator for the miners begins to descend. To determine the position of each elevator after another 16 ​seconds. That is, the equipment elevator descends for a total of (29+16) seconds and the elevator of the miners descends for 16 seconds.

For the equipment elevator

Speed= 7 feet/second

Time = 29 + 16 seconds = 45 seconds

From,  Distance = Speed × Time

∴ Distance = 7 feet/second × 45 seconds

Distance = 315 feet

Hence, the position of the equipment elevator is 315 feet deep.

For the elevator of the miners

Speed = 13 feet/second

Time = 16 seconds

Distance = Speed × Time

∴ Distance = 13 feet/second × 16 seconds

Distance = 208 feet

Hence, the position of the elevator of the miners is 208 feet deep.

At that time the equipment elevator is deeper.

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:

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:

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:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

Answer:

-12x

Step-by-step explanation:

2(-3x - 6) -6x +12

-6x - 12 -6x +12

-12x

your welcome

Answer:

15 units

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

x^2 = 9 × 25 ➡ x^2 = 225

x = 15

Answer:

The answer is B.8 games,9 rides

Answer:

The slope is 2 and the y-intercept is -2. a)

Step-by-step explanation:

Hope this helps!!!!!

Step-by-step explanation:

360 one gon 18 therefore 18*20=360

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:

$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:

finding how many inches he goes in an hour (multiply by 3600)

Step-by-step explanation:

Answer:100%

Step-by-step explanation:

Answer: 100%

Step-by-step explanation:

Answer:

i tryed ;-;..

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 :)

Answer:

3/20

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

parallel lines NEVER touch

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:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer:337.5

Step-by-step explanation:

.5/75=2.25/x

X=2.25*75/.5 =337.5

Step-by-step explanation:

you simplify your answer and write it as proper fraction

Answer:

25 percent

Step-by-step explanation:

cuz am smart

Answer:

Step-by-step explanation:

74/100 or 37/50