Find the slope of the line that passes through (1, 2) and (10, 9).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

1.5*w^2 + 15*w + 36

Step-by-step explanation:

We have to make the width of the portrait be 'w'

 in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w

Frame width is 3 inches on all sides.

Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.

I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.

From the figure, we have to:

AB = 3 + w + 3 = w + 6

BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6

We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,

Area = (w + 6) * (1.5 * w + 6)

Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36

Area = 1.5*w^2 + 15*w + 36

That is, the expression for the framed portrait area in terms of the width 'w' is:

1.5*w^2 + 15*w + 36

Answer:

2520

Step-by-step explanation:

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

This is the distance formula. To find the distance, solve as shown:

[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]

Answer:

V=π*r^(2)*h/3

Step-by-step explanation:

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

Answer:

-2

Step-by-step explanation:

3-5= -2

Answer:

D

Step-by-step explanation:

D is the correct answer, (-y, x)

Answer:

x = 7

Step-by-step explanation:

-7x= -8x+7

Add 8x to each side

-7x+8x= -8x+8x+7

x = 7

Answer:

The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-7x = -8 x + 7[/tex]

Add both sides by [tex]8x[/tex]:

[tex]-7x + 8x = -8x + 8x + 7[/tex]

[tex]x = 7[/tex]

So, the final answer is [tex]x = 7[/tex] .

1. cos(30) = a/16

a = 16 x cos(30)

a = 8√3

sin(30) = c/16

c = 16 x sin(30)

c = 8

2. cos(30) = d/28

d = 28 x cos(30)

d = 14√3

sin(30) = f/28

f = 28 x sin(30)

f = 14

3. sin(30) = x/62

x = 62 x sin(30)

x = 31

cos(30) = y/62

y = 62 x cos(30)

y = 31√3

Answer:

  1. (a, c) = (8, 8√3)

  2. (d, f) = (14, 14√3)

  3. (x, y) = (31, 31√3)

Step-by-step explanation:

Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.

__

1. a : c : 16 = 1 : √3 : 2

Multiply by 16/2 = 8:

  = 8 : 8√3 : 16

  a = 8, c = 8√3

__

2. d : f : 28 = 1 : √3 : 2

Multiply by 28/2 = 14:

  = 14 : 14√3 : 28

  d = 14, f = 14√3

__

3. x : y : 62 = 1 : √3 : 2

Multiply by 62/2 = 31:

  = 31 : 31√3 : 62

  x = 31, y = 31√3

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]

Answer:

-6x

Step-by-step explanation:

All you have to do is subtract the constants, because the variable is going to be there always

x intercept(y=0)

4y-3x=108

4×0-3x=108

-3x=108

x=108/-3

x=-36

y intercept(x=0)

4y-3×0=108

4y=108

y=108/4

y=27

Answer:

25/24

Step-by-step explanation:

Let

Sally=S

May=M

Sally is 5/6 as tall

S = 5/6

May is 4/5 as tall

M = 4/5

S/M = 5/6/4/5

=5/6×5/4

=25/24

Answer:

Multiply 8 and 3

Step-by-step explanation:

6+ (-5-7/2) -8(3)

Using the order of operations

BODMAS

•BRACKET

•OFF

•DIVISION

•MULTIPLICATION

•ADDITION

•SUBTRACTION

The first step is to deal with the bracket

Which is

6+(-5-7/2)-24

Next is solve the next parenthesis

6+(-12/2)-24

Next

6+(-6)-24

Next

6-6-24

= -24

Answer:

A is correct answer

Step-by-step explanation:

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3  5/7   and  3  6/10

Rewriting these inputs as fractions:  3 5/7                3 6/10

                                                            26/7                 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD:      3 5/7             3 6/10

                                                                                    260/70     252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7   3 6/10

260/70 > 252/70

Comparison shows:  3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

Answer:

111 units

Step-by-step explanation:

the diameter is double the radius so divide 222 by 2 to get 111 units.

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

We know that the area of each tile is 3 1/2in^2

All we need to do is divide.

210 / 3.5 = 60

So, she will need 60 tiles to cover the entire bathroom floor.

Best of Luck!

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Learn more about function here:

https://brainly.com/question/2253924

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Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

Learn more:

https://brainly.com/question/11322954

Answer:1.8*10^-1

Step-by-step explanation:

Answer:     1.8 x 10^−1

Step-by-step explanation:

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it: 

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

Answer: 1.35 miles

Step-by-step explanation:

9/10th of quarter mile = 9/40

For 6 days

9/40 x 6 = 27/20 = 1.35 miles

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.