5) Write the expression as a product of two factors.
12x + 18y - 60
a) (2x + 3y - 60)
b) (x + y)(12 + 18 - 60)
c) 6(2x + 3y - 10)
d) (12x + 18y)(-60)

Given:

Two points on a line are A(11, - 1) and B(13, 3).

To find:

The point slope form of the line.

Solution:

Point slope form: If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the point slope form of the line is

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

where, m is slope, i.e., [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].

Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is

[tex]m=\dfrac{3-(-1)}{13-11}[/tex]

[tex]m=\dfrac{3+1}{2}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

The slope of the line is 2 and it passing through (11,-1). So, the point slope form is

[tex]y-(-1)=2(x-11)[/tex]

[tex]y+1=2(x-11)[/tex]

Therefore, the required point slope form is [tex]y+1=2(x-11)[/tex].

Answer:

Step-by-step explanation:

first, let us mark the two equations as i and ii

2x+ 3y = 7

or, 2x = 7-3y

or, x = (7-3y) ÷ 2.........................(i)

and let 4x-5y= 25............(ii)

Now, put the the value of x from (i) into (ii)

4[(7-3y) / 2] -5y = 25

2(7-3y) -5y = 25

14- 6y - 5y = 25

-11y = 11

y = -1

Now, put y = -1 back in (i)

x = (7-3y)/2

x = 10 /2

x = 5

Answer:

84.53%

Step-by-step explanation:

total=293

completed=247.7

percentage=247.7/293. ×100%

=84.539%

Answer:

The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production

Answer:

the right down one

Step-by-step explanation:

because a set of parallel linear lines will not have any solutions, since they won't ever touch and intersect each other

Answer:

circumference is 2(pi)r

r = 36

2(3.14)(36) = 226.08

B

Step-by-step explanation:

hope this helps:)

Answer:

The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:

Plug in r = 36 to the formula to get:

Therefore, the circumference is 72pi.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

the bird is flying 40 meter above sea level and the fish is 20 meters below the sea level

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}[/tex]

We are to find the quotient as shown:

[tex]= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9} \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\= \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1 \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times \frac{3}{2} \\\\= \frac{3}{2}[/tex]

Hence the correct answer is [tex]\frac{3}{2}[/tex]

Answer:

3/2

Step-by-step explanation:

3/2

Answer:

i believe 30

Step-by-step explanation:

Answer:

RT = 10

Step-by-step explanation:

Since, U and V are the midpoints of the segments RS and ST respectively.

Therefore,

By Mid-segment Theorem:

RT = 2UV

4x - 22 = 2(10x - 75)

4x - 22 = 20x - 150

150 - 22 = 20x - 4x

128 = 16x

128/16 = x

8 = x

x = 8

RT = 4x - 22 = 4*8 - 22 = 32 - 22 = 10

Answer:

unchy roll hulu netflix amazon prime

Answer:

-14/20, 50%, 68%, 19/25

Step-by-step explanation:

19/25 is equivalent to 0.76

-14/20 is equivalent to -0.70

50% is equivalent to 0.50

68% is equivalent to 0.68

These placed from least to greatest are

-14/20, 50%, 68%, 19/25.

I hope this helped!

Answer:

D

Step-by-step explanation:

2*5 = 10

10 > 6

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-1}{0+3}[/tex] = [tex]\frac{0}{3}[/tex] = 0

Note the slope of any horizontal line parallel to the x- axis is zero

Step-by-step explanation:

Answer:

-37/100

Step-by-step explanation:

Here, we want to write -0.37 as a quotient of integers

What we are saying is that we want to write it as a fraction of two numbers

That would be;

-0.37 = -37/100

Answer:

10N to the left

because theres 50N to the right and 60N to the left, the 50 to the right cancels out 50 to the left, leaving you with 10N to the left, or A

Step-by-step explanation:

I hope this helps :)

Answer:

A. 10 N to the left

Step-by-step explanation:

The way you would answer these questions are subtraction or addition. For example, if they are both pulling and pushing to the left it would be 60+30+20=110.

However, it is not. It pulls 30+20N to the right which would be 50N.

Then it pulls 60N to the left

So we have 60N to the left and 50N to the right. Therefore, we would subtract them.

60-50

10

Since 60 goes to the left and was bigger therefore, I would be

A. 10 N to the left.

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243[/tex]

Answer:

5.25 x 40 = 210

210 + 310.50 = 520.5 \0

his total earning is 520.50

Step-by-step explanation:

Answer:

[tex]10^{3}[/tex]

Step-by-step explanation:

Answer:

10 exponent 3 is the answer

Step-by-step explanation:

Answer:

a. 3*3-5

=6-5

=1

b. 3*(-2)-5

=-6-5

=-11

c. f(x)=1

or,1=3x-5

or,1+6=x

x=7

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

Answer:

you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result

Step-by-step explanation:

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 14 → (1)

3x + 3y = 15 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(3) = 14

x + 12 = 14 ( subtract 12 from both sides )

x = 2

solution is (2, 3 )

Answer:

infinitely many solutions

There are ''Infinitely many solutions'' in this system of equations.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = -2x + 2  .. (i)

⇒ 2y + 4x = 4  .. (ii)

Now, Solve the expression as;

Multiply by 2 in (i);

⇒ 2y = 2 (-2x + 2)  

⇒ 2y = -4x + 4

⇒ 2y + 4x = 4

Clearly., Both equations are same.

Hence, There are ''Infinitely many solutions'' in this system of equations.  

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

593.0

Step-by-step explanation:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0

Answer:

-1

Step-by-step explanation:

Given the equation :

-11 = - 12 + 2x + 3

Collect like terms

-11 + 12 - 3 = 2x

-2 = 2x

-2 /2 = 2x/2

x = - 1

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

Given the equation [tex]-11 = -12 + 2x + 3[/tex] find [tex]x[/tex]

For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:

First substract -3 in both sides of the equation

[tex]-14 = -12 + 2x[/tex]

Later sum 12 in both sides of the equation

[tex]-2 = 2x[/tex]

The final  step is multiply by [tex]\frac{1}{2}[/tex] each side of the equation

[tex]-1 = x[/tex]

So the final answer is [tex]x = -1[/tex]

Answer:

y=4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

on the y-axis, the line is on -1

Answer:

The coefficient is 6 because it has a variable "x"

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55