The lines shown below are parallel.if the green line has a slope of -3/7 what is the slope of the red line

1. The monomials are:

[tex]15 {x}^{4} {y}^{6} = 3 \times 5 {x}^{4} {y}^{6} [/tex]

and

[tex]6 {x}^{5} {y} = 2 \times 3 {x}^{5} y[/tex]

The highest common factor is the product of the least powers of the common factors.

The HCF is

[tex]3 {x}^{4} y[/tex]

2. The monomials are:

[tex]12 {x}^{3} = {2}^{2} \times 3 {x}^{3}[/tex]

[tex]4 = {2}^{2} [/tex]

The HCF is

[tex]{2}^{2} = 4[/tex]

Answer:

See Step-by-step

Step-by-step explanation:

b)Table:

x          x-Mean          (x-Mean)^2

1             1-7=-6             36

3            3-7=-4             16

5            5-7=-2             4

15           15-7=8             64

2            2-7=-5             25

11            11-7=4             16

12           12-7=5             25

7             7-7=0             0

c)Find the sum of the squared deviations:

(36+16+4+64+25+16+25+0)/8=23.25

d)Find the standard deviation by finding the square root of 23.25

The answer is 4.8

bearing in mind that the average rate of change = slope, and for that we can simply use two points off the table.

[tex]\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -2&12\\ 0&3\\ 3&-10.5\\ 7&-28.5\\ \cline{1-2} \end{array}\qquad \qquad \begin{array}{llll} (\stackrel{x_1}{-2}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-10.5}) \\\\\\ slope \implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-10.5-12}{3-(-2)} \\\\\\ \cfrac{-10.5-12}{3+2}\implies \cfrac{-22.5}{5}\implies -\cfrac{4.5}{1}\implies -4.5 \end{array}[/tex]

The rate of change of y with respect to x for the given function with coordinates expressed in the table is; dy/dx = -9/2

The rate of change of y with respect to x for a given linear function is simply the slope expressed as;

dy/dx = (y2 - y1)/(x2 - x1)

Let us take the first 2 coordinates which are;

(-2, 12) and (0, 3)

Thus;

dy/dx = (3 - 12)/(0 - (-2))

dy/dx = -9/2

Or dy/dx = -4.5

Read more at; https://brainly.com/question/19378449

Answer:

slope rise 3 run 2 1/2

Step-by-step explanation:

if you start from the bottom and if you start from the top it's -3 and -2 1/2

Answer: The slope is 3 and the y-intercept is 3/2

Step-by-step explanation:

The slope of a linear function can be calculated as:

s = (y2 - y1)/(x2 - x1)

Where y2 = f(x2) and y1 = f(x1) and f(x) is the linear function.

So here we can use any two pairs of the set of data, for example, the first two.

(-1 , -3/2) and (-1/2,0)

s = (0 -(-3/2))/(-1/2 - (-1)) = (3/2)/(1/2) =(3/2)*(2/1) = 3

So the slope is equal to 3.

the y-intercept is the value of y when x = 0, in the table we can see that when x = 0. the value of y = 3/2

So the function is: y = 3*x + 3/2

and the correct option is the fourth one.

Answer:

Final result :

 x + 2

 —————

 x - 1

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   7 • 3 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    7x2 - 7x - 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (7x-3)  •  (x-1)

            Which is the desired factorization

Please mark brainliest and have a great day!

Answer:

Here's what I get.

Step-by-step explanation:

[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3}[/tex]

One way is to factor the numerator and the denominator

[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3} = \dfrac{(7x - 3)(x + 2)}{ (7x - 3)(x - 1)} = \dfrac{x+2}{x-1}\\\\\text{Except when } x = \dfrac{3}{7}[/tex]

Answer:

1/6.

Step-by-step explanation:

Total number of tokens in the bag = 4 + 14 + 6 = 24.

There are 4 red tokens so the probability of picking a red

=  4/24

= 1/6.

Hello There!

145 is 23.39% of 620

HOW TO SOLVE

Equation: Y = P% * X

We need to solve our equation for "P"

P% = Y/X

P% = 145/620

p = 0.2339

Convert decimal to percent:

Percent = 0.2339 * 100 = 23.39%

Answer:

7

Step-by-step explanation:

27 + 27 = 54

54 + 3

57

Smaller number is: 7

Answer:B. vertical line symmetry

Step-by-step explanation:

Answer:

D. diagonal line symmetry

Step-by-step explanation:

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

[tex]4^5*4^3 = 4^{5+3} = 4^8[/tex]

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

Answer:

2W+3  I am really sorry if that's wrong, I don't think it is though GOODLUCK

Step-by-step explanation:

Answer:

The correct answer is option A.   2w + 3

w = 5 inches

Step-by-step explanation:

It is given that, the length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches.

To find the correct option

If 'w' is the width of rectangle, then length = 3 inches more than the twice the width

length   = 2w + 3

The correct answer is option A.   2w + 3

To find the width

We have area = 65 square inches

Length * Width = 65

(2w + 3) * W = 65

2w² + 3w - 65 = 0

Solving we get ,

w = 5 and -6.5

Therefore w = 5 inches

Final answer:

To complete the square for the equation x² - 9x + _____ = 6, the constant term should be (81/4). This is obtained by dividing the coefficient of x by 2 and then squaring it.

Explanation:

The constant term required to complete the square for the equation x² - 9x + _____ = 6 can be found using a specific algebraic method. To complete the square, the coefficient of the x term should be divided by 2 and then squared. Therefore, for the equation provided, we take (-9/2) and square it, which results in (81/4). The complete equation after adding the constant term will be x² - 9x + 81/4 = 6 which, after completing the square, can be written as (x - 9/2)² = 6 + 81/4.

Answer:

option number 1st is the correct answer.

Answer:

the second  because it shows you the way its  

Step-by-step explanation:

Answer:

c) y + 5 = 2x

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are.

Answer:

[tex]y = \frac{1}{2}x+10[/tex]

Step-by-step explanation:

The given path is:

y = -2x+5

Comparing with the standard form of equation:

y = mx+b

So,

m = -2

We know that product of slopes of two perpendicular lines is -1

Let m1 be the slope of the perpendicular line

m*m1=-1

-2*m1 = -1

m1 = -1/-2

m1 = 1/2

So the slope of perpendicular path is 1/2.

Since the new path passes through (-2,9)

[tex]9 = \frac{1}{2}(-2) +b\\9 = -1 +b\\b = 10[/tex]

Putting the values of m and b in standard form

[tex]y = \frac{1}{2}x+10[/tex]

Hence the equation of new path is:

[tex]y = \frac{1}{2}x+10[/tex] ..

The angles circled in red below are same side exterior. This means that the sum of them is 180 degrees. You can make a formula like so that you will solve for x...

98 + x = 180

98 - 98 + x = 180 - 98

0 + x = 82

x = 82

Another way to solve:

The angles circled in pink below are opposite side exterior. This means that they must equal each other...

82 = x

x = 82

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Answer:

Adjacent angles formed by two intersecting lines form a linear pair.

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. A linear pair of angles must add up to 180 degrees.

If two angles are adjacent angles that are formed by two intersecting lines, then they are called linear.

Answer: [tex](-4,-7)[/tex]

Step-by-step explanation:

By definition, the equation of parabola in Vertex form is:

[tex]y=a(x - h)^2 + k[/tex]

Where (h, k) is the vertex of the parabola.

You need to remember that multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Then given the equation [tex]y = -(x + 4)^2 - 7[/tex], you know that this is:

[tex]y = -(x -(-4))^2 +(-7)[/tex]

You can observe that the value of "h" and the value of "k" of this equation are:

[tex]h=-4\\k=-7[/tex]

Therefore, the vertex is:

[tex](-4,-7)[/tex]

Answer:

D. x =4

Step-by-step explanation:

problem solved on picture

If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).

Note: (f•g)(x) means f(x) times g(x).

(f•g)(x) = (5x^3)(x + 1)

(f•g)(x) = 5x^4 + 5x^3

Answer: Choice C

Answer:

5/8 cm

Step-by-step explanation:

5/2*3/4=15/8

15/8*1/3=15/24=5/8

Answer:

V = 5/8  cm^3

Step-by-step explanation:

V = l*w*h

V = 5/2 * 3/4 * 1/3

The 3's cancel

V = 5/2 * 1/4 * 1/1

V = 5/8  cm^3

Answer:

x = 4

Step-by-step explanation:

Given

4x - 6 + 2x = 18 ← simplify left side by collecting like terms

6x - 6 = 18 ( add 6 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

The solution to the equation 4x - 6 + 2x = 18 is x = 4.

To solve the equation 4x - 6 + 2x = 18, we need to combine like terms and isolate the variable x.

First, let's combine the like terms on the left side of the equation:

4x + 2x - 6 = 18

This simplifies to:

6x - 6 = 18

Next, we can isolate the variable x by adding 6 to both sides of the equation:

6x - 6 + 6 = 18 + 6

This simplifies to:

6x = 24

To solve for x, we can divide both sides of the equation by 6:

(6x)/6 = 24/6

This simplifies to:

x = 4

Therefore, the solution to the equation 4x - 6 + 2x = 18 is x = 4.

To learn more about the Equation of line click:

https://brainly.com/question/21511618

#SPJ6

Answer: b,c,e or 2,3,5

Step-by-step explanation:

Answer:

$878.25

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.

Here, P = 560, r = 0.09, and t = 5.

A = 560e^(0.09×5)

A = 878.25

Final answer:

To calculate the future value of an investment compounded continuously, use the formula A = Pert. In this case, the investment will be worth approximately $877.29 in 5 years.

Explanation:

To calculate the future value of an investment compounded continuously, we can use the formula A = Pert, where A is the future value, P is the initial principal, r is the annual interest rate, and t is the time in years. In this case, P = $560, r = 0.09, and t = 5. Plugging these values into the formula, we get:

A = 560e^(0.09⋅5)

A ≈ 560e^0.45

A ≈ 560 ⋅ 1.5662

A ≈ $877.29

Therefore, the investment will be worth approximately $877.29 in 5 years.

Answer:

12 adults:10 children

Step-by-step explanation:

i don't know how i got it i just know it because i had this exact same question before and i guessed and this was the correct answer :|

Answer:

12 Adults 10 Children

is correct

Answer:

5, 11,17,23,29

Step-by-step explanation:

To obtain the term in the sequence add the common difference to the previous term, that is

a(1) = 5

a(2) = 5 + 6 = 11

a(3) = 11 + 6 = 17

a(4) = 17 + 6 = 23

a(5) = 23 + 6 = 29

The first five terms of an arithmetic sequence starting with 5 and a common difference of 6 are 5, 11, 17, 23, and 29.

The first five terms of the arithmetic sequence with the first term 5 and a common difference of 6 can be found by successively adding the common difference to the previous term.

Third term (a3) = a2 + 6 = 11 + 6 = 17

Fifth term (a5) = a4 + 6 = 23 + 6 = 29

Therefore, the first five terms of the arithmetic sequence are 5, 11, 17, 23, and 29.

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

3x - y = 29 ← in standard form → B

Answer:

B

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

The area dilation ratio is the square of the length dilation ratio

The area of the original  rectangle is 6*4=24

the length dilation ratio is 1:3

the area dilation ratio would be 1:3² which is 1:9

The resulted area=24*9

=216

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

 (2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55