Write the equation of the line through the points (4, 5) and (12, 9)

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore the lengths of the triangle are:

[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

it can be written as a ratio like 42260/1

brainliest?? please

Answer:

Rational

Step-by-step explanation:

This number is a whole, even number. It does not fit the criteria to be irrational because it can be written as a simple fraction

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

Answer:

a. 8

Step-by-step explanation:

hope you find it helpful

ps: mark as brainliest

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Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

Answer:

Compare and contrast the to main candidates

Step-by-step explanation:

Help

Answer:

X = Negative 2 (-2)

Answer:

280

Step-by-step explanation:

Given that:

The two different sizes of soda are:

Regular = 22 ounce

Large = 62 ounce.

The objective is to determine by what percent does the amount of the soda increase between the different soda size.

i.e. The ratio of the larger size in respect to the regular size:

So,

62/22 = 2.82

Thus in percent, the amount of the soda increase between the different soda size = 2.82 × 100%

= 282 percent

To the nearest percent, it is = 280

Answer:

7x - 5 = 42

Step-by-step explanation: Hope this helps you!

Answer:

the correct answer is -2. I hope this helped

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (0, 11) and (1, 5) will be,

m = [tex]\frac{11-5}{0-1}[/tex]

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

0=−15

Step-by-step explanation:

subtract 3 from both sides

9+3=9−12

9+3−3=9−12−3

simplify

9=9−15

subtract 9x from both sides

9=9−15

Simplify again and combine like terms and you should get  0=−15

Answer

1- 61.95

2- 82.6  

Step-by-step explanation:

V=πr2h divided by 3

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

Answer:

5 x + 1

Step-by-step explanation:

5 × + 50°

Any non - zero expression raised to the power of 0 equals 1

5 x + 1

Answer:

x = 12

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

since this is a right triangle

90° + 2x + 1 + 5x + 5 = 180° add like terms

7x + 96 = 180 subtract 96 from both sides

7x = 84 divide both sides by 7

x = 12

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.

Hope this helps!

Answer:

D.

Step-by-step explanation:

For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80

But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28

This shows that the cost of the shirt is important in discovering which coupon is better.

Answer:

Ok... hmmmmm

So im going to assume that this is an adding fractions question so for a half batch it would be 1 1/4 + 2 2/4 which is 3 3/4 cups and for a double batch it would be 15 cups because 10 + 5 is 15.

The first blank probably is 3 3/4

The second blank probably is 15

<3 I already answered this on the other question but I want points so tysm.

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

Answer:

-7

Step-by-step explanation:

[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]

Simply replace h(x) with 9 because it is given in the question that h(x)=9

First, you multiply 12 and 10 to get how much money she earned in 10 hours.  She earned 120 dollars in 10 hours.  Next, you multiply 10% and 1500.  You turn 10% into 0.10, and multiply by 1500 to get 150.  Finally you would add 150 and 120 to get $270.  Mary earned $270.

Answer:

y=12x-45

Step-by-step explanation:

First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.

Now we have:

y=12x+48

where the slope is 12.

Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.

Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)

Step 1 for this: y-3=12(x-4)

Step 2: we will distribute and solve for y so our answer is in slope intercept form.  

Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45

Our answer is y=12x-45

Hope this helps!