Write the following equation in slope intercept form.

7x-4y=22

y= x+

Answer:

12 [tex]cm^2[/tex]

Step-by-step explanation:

The area of a triangle is [tex]\frac{bh}{2}[/tex]. Here, b = 8, h = 3. So 8*3/2 = 12. The units is [tex]cm^2[/tex].

So the answer is 12 [tex]cm^2[/tex].

Answer:

12 cm

Step-by-step explanation:

[tex] \frac{1}{2} \times 3 \times 8 = 12[/tex]

area = 1/2 base height

Answer:

i tryed ;-;..

Step-by-step explanation:

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:

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

Step-by-step explanation:

you simplify your answer and write it as proper fraction

Step-by-step explanation:

360 one gon 18 therefore 18*20=360

Answer:

-12x

Step-by-step explanation:

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

-6x - 12 -6x +12

-12x

your welcome

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:

d

Step-by-step explanation:

parallel lines NEVER touch

Answer:337.5

Step-by-step explanation:

.5/75=2.25/x

X=2.25*75/.5 =337.5

Answer:

25 percent

Step-by-step explanation:

cuz am smart

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:

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:

4

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

to get from 16 to 2 you have to divide 16 by 8

to get from 32 to a you have to do the same to the numerator

Answer:

The answer is B.8 games,9 rides

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

Answer:

Step-by-step explanation:

74/100 or 37/50

Answer:

-37

Step-by-step explanation:

-7-30

=-37

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

Answer:

2.378

Step-by-step explanation:

Answer:

Lydia's address is Cypress Street is: 51823

Step-by-step explanation:

Represent the digit as ABCDE such that:

A = Ones

B = Tens

C = Hundred

D = Thousand

E = Ten Thousand

Analyzing the statements one after the other:

The tens digit is 6 less than 7.

[tex]B = 7 - 6[/tex]

[tex]B = 1[/tex]

The thousands digit is twice the digit in the tens place.

[tex]D = 2B[/tex]

[tex]D = 2 * 1[/tex]

[tex]D = 2[/tex]

The hundreds digit is the greatest even number that is less than 10.

[tex]C = 8[/tex]

The ones digit is the product of 5 and 1.

[tex]A = 5 * 1[/tex]

[tex]A = 5[/tex]

The ten thousands digit is the difference between the hundreds digit and the ones digit.

[tex]E = C - A[/tex]

[tex]E = 8 - 5[/tex]

[tex]E = 3[/tex]

Lydia's address is Cypress Street is: 51823

Answer:100%

Step-by-step explanation:

Answer: 100%

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Hope this helps!!!!!

Answer:

The  value  is [tex]E =19.6 [/tex]

Step-by-step explanation:

From the question we are told that

  The mean of Jo  cows is  [tex]\= x_1 = 1350[/tex]

  The standard deviation of Jo cow is  [tex]s_1 =  50[/tex]

  The mean of Val  cows is [tex]\= x_2  = 1420 [/tex]

   The standard deviation of Val  cows  is  [tex]s_2 =  50[/tex]

    The sample size for both Val  and  Jo  is  n = 25

Let assume that the level of significance is  [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Hence margin of error for Jo is  

=>   [tex]E = 1.96 *  \frac{50}{\sqrt{25} }[/tex]

=>   [tex]E =19.6 [/tex]

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:

3/20

Step-by-step explanation:

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

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