given 8y — 6x =8 :

A) transform the equation into slope-intercept form.

b) find the slope and y-intercept of the line.

c) what is the slope of a line parallel to this line?

d) what is the slope of a line perpendicular to this line ?

e) find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (0,2).

Answer:

Your answer is B.

Step-by-step explanation:

4 x 2 = 8

I know this because 12 / 6 = 2.

Therefore, Sense it is divided by two, you multiply the 4 by 2.

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = [tex]\frac{-6-1}{x-4}[/tex] = 1

m = [tex]\frac{-7}{x-4}[/tex] = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

The value of 'x' is -3 and this can be determined by using the two point slope formula and also by using the given data.

Given :

When two points are given then to determine the slope of the given line below formula can be used:

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

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the same line.

Now, substitute the value of slope m and points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation in order to determine the value of 'x'.

[tex]\rm 1 = \dfrac{-6-1}{x-4}[/tex]

x - 4 = -7

x = -3

So, the value of x is -3.

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The scale factor is 1/3

The correct answer is 1/3

:))

The scale factor of the given dilation is 1/3

To change the size of a figure without changing the figure's shape, we use a exact number or factor which is called scale factor.

Dilated figure = Original figure × Scale factor

In the diagram,

Co-ordinate of the point V in original triangle is (3, - 6)

Co-ordinate of the point V' in dilated triangle is (1, -2)

We know that, if we multiply scale factor to the original co-ordinate then we get dilated co-ordinate.

Here, if we multiply 1/3 to the original co-ordinate V(3, - 6) then we get the dilated co-ordinate V' (3/3, -6/3) , i.e. V'(1, -2)

So, the scale factor is 1/3.

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Answer:

A chemical reaction will occur

Hope this helps

Love,

Morgan Malice

Answer: increased particle collisions

Step-by-step explanation: Is the correct answer on Edge

Hey there!

All we have to do is combine like terms. Therefore, your final answer would be 2 - x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

The expression 5 - 2x - 3 + x simplifies by combining like terms: constants 5 - 3 = 2 and variable terms -2x + x = -x, resulting in 2 - x.

To simplify the expression 5 \'u2013 2x \'u2013 3 + x, we combine like terms. The like terms in this case are constant numbers and the terms with the variable x.

First, combine the constants 5 and -3:

5 - 3 = 2

Next, combine the variable terms -2x and +x:

-2x + x = -x

Therefore, the simplified expression is:

2 - x

Answer:

The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

we know that

Emilie's circle

[tex]D=10\ in[/tex]

The circumference is equal to

[tex]C=\pi D[/tex]

[tex]C=\pi (10)[/tex]

[tex]C=10\pi\ in[/tex]

Ethan's circle

[tex]D=10/2=5\ in[/tex]

The circumference is equal to

[tex]C=\pi D[/tex]

[tex]C=\pi (5)[/tex]

[tex]C=5\pi\ in[/tex]

therefore

The circumference of Ethan's circle is half the circumference of Emilie's circle

Answer: The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

Answer:

y = 32

Step-by-step explanation:

For the given expression √(2y+3) =11, the value of y in this equation is 59.

The given expression is,

√(2y+3) =11

Take square both sides of the equation to eliminate the square root.

This gives us:

(√(2y+3))² = 11²

Simplifying the left side, we have:

2y + 3 = 121

Next, Subtract 3 from both sides to isolate the 2y term:

2y + 3 - 3 = 121 - 3

2y = 118

Finally, Divide both sides by 2 to solve for y:

y = 59

Therefore, the value of y in this equation is 59.

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Answer:

[tex]\large\boxed{x=\dfrac{45}{4}=11\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]-8x=-90\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{-90}{-8}\\\\x=\dfrac{90}{8}\\\\x=\dfrac{90:2}{8:2}\\\\x=\dfrac{45}{4}\to x=11\dfrac{1}{4}[/tex]

C

Because their on a straight highway and the lines go up and down (north and south) and parallel lines is a set of straight lines

Final answer:

The northbound and southbound lanes on a straight highway are the best example of parallel lines, as they never intersect and stay equidistant from each other, fulfilling the criteria for parallelism in geometry which is the option c.

Explanation:

The best example of parallel lines in the real world would be C. The northbound and southbound lanes on a straight highway. In mathematics, parallel lines are two lines in the same plane that do not meet; they stay the same distance apart over their entire length. When we look at the northbound and southbound lanes on a straight highway, they are designed to be straight and run alongside each other without crossing, making them a practical example of parallel lines.

It is important to understand that parallel lines have several key features. They are always the same distance apart (equidistant), and they never intersect or cross each other. This principle is seen in the highway lanes, which must stay separate to facilitate traffic in opposite directions.

To contrast, other options like A. The lines formed on a windowpane may not necessarily be parallel, B. A four-way stop at an intersection involves intersecting lines, and D. A bridge extending over a river can be a single line or may curve, which does not fit the definition of parallel lines.

One example of constant polynomial is q(x) = 7.

A constant polynomial is the same thing as a constant function. That is, a

constant polynomial is a function of the form

p(x) = c

In other words a polynomial P(x) that, when evaluated over each x in the domain of definition, results in the same value. The simplest example is P(x)=c for x in R and c a constant.

Answer:

294.6 earth years

Step-by-step explanation:

You only need to multiplied by 10

Best regards

Answer:

C

Step-by-step explanation:

multply by 10

Answer:

2

Step-by-step explanation:

[tex]\bold{Hey\ there!} \\ \\ \bold{3x-4=2}\\ \bold{First:add\ by\ 4\ to\ your\ sides!}\\ \bold{Like\downarrow}\\ \bold{3-4+4=2+4}\\ \bold{Cancel:-4+4\ because\ it\ = \ 0}\\ \bold{Keep:2+4\ because\ it\ helps\ us\ solve\ for\ our\ answer} \\ \bold{2+4=6} \\ \bold{3x=6} \\ \bold{Second: divide\ by\ 3\ on\ your\ sides!} \\ \bold{Like\downarrow} \\ \bold{\frac{3x}{3}=\frac{6}{3}} \\ \bold{Cancel:\frac{3x}{3}\ because\ it\ gives\ us\ 1} \\ \bold{Keep:\frac{6}{3}\ because\ it\ gives\ us\ the\ answer\ for\ 'x'}[/tex]

[tex]\boxed{\boxed{\bold{Answer:x=2}}}\checkmark\\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

284.37

Step-by-step explanation:

If you use the pythagorean theory, it's so much easier

The distance of the earth's horizon from point p is 284.372 miles.

In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides [tex]Hypotenuse^{2} = Perpendicular^{2} + Base^{2}[/tex]

Here also we have a right angle triangle so to find the remaining side we use Pythagoras Theorem.

[tex]3959^{2} + x^{2} =(3959+10.2)^{2}[/tex]

[tex]3959^{2} + x^{2} = (3969.2)^{2}[/tex]

[tex]x^{2} = 80867.64[/tex]

x = 284.372 miles

Thus the distance of the earth's horizon from point p is 284.372 miles.

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Answer:

(x-7)(x+2); x = -2, 7

Step-by-step explanation:

Solve the equation by factoring and setting each factor equal to 0.

The expression x² - 5x - 14 factors into two numbers which multiply to -14 and add to -5. These numbers are -7 and 2. The factors are (x-7)(x+2). Set each equal to 0 and solve.

x-7 = 0

x = 7

x+2 = 0

x = -2

Answer:

∠FOD = 85°

Step-by-step explanation:

∠AOC = ∠AOB + ∠BOC = 35° + 50° = 85°

∠AOC and ∠FOD are opposite angles and congruent, hence

∠FOD = 85°

He should put in $30.48 to reach the minimum.

Hope this helps.

Answer:

im not sure but you can find the answer on  math solver with steps

Step-by-step explanation:

Answer:

for 5 hours: b is 6

for 5 minutes: b is 4

60 times more skin in 5 hours than 5 minutes

Step-by-step explanation:

I think it should be written as a x 10^b, so I'm going to answer it that way.  

3 x 10^6 = 5 times 10^6

   10^6 = 1,000,000, so we have 3 x 1,000,000 = 3,000, 000

5 x 10^4 = 5 times 10^4

   10^4 = 10,000, so we have 5 x 10,000 = 50, 000

For part 3, divide 3 million by 50 thousand to find the scalar multiple

   3,000,000/50,000 = 300/5 = 60

Answer:

The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is 6.

The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is 4.

Humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Step-by-step explanation:

In scientific notation, a number can be written in the form, a × 10b, where a is a number that must be greater than or equal to 1, but less than 10, and b is any integer.

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Next, write the approximate number of particles of skin a human can shed in five minutes in scientific notation. This number is fifty thousand which can be written in the form a × 10b, where a is 5 and b is 4.

Then, divide the approximate number of particles a human can shed in five hours by the approximate number of particles a human can shed in five minutes to find out how many times more skin is shed in five hours than in 5 minutes.

Therefore, humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Answer:

16.17684994

Step-by-step explanation:

First diagonal

x^2 = a^2 + b^2

x^2 = 5^2 + 6^2

x^2 = 61

x ≈ 7.810249676

Second diagonal

x^2 = a^2 + b^2

x^2 = 7.810249676^2 + 3^2

x^2 = 70

x ≈ 8.366600265

Sum of both diagonals

8.366600265 + 7.810249676

= 16.17684994

Answer:

16

Step-by-step explanation:

i just know

Answer:

h = 7 1/2

Step-by-step explanation:

2/5 h = 3

Multiply each side by 5/2 to isolate h

5/2 * 2/5 h = 5/2 *3

h = 15/2

h = 7 1/2

Answer:

Look for where both functions have the same y value. For example, when x = 3 in #7, both are 5. So the solution is (3,5).

Step-by-step explanation:

Each table has two functions. This forms a system of equations. A system of equations is essentially two conditions that must both be met to produce a solution. A solution can be found as where the two equations are equal. In the table, look for where both functions have the same y value for some x. This will be where the values are the same in the same row. This is the solution and is written as an (x,y) point.

7. When x = 3 both functions are 5. The solution is (3,5).

Answer:

A: 25[tex]\pi[/tex]

Step-by-step explanation:

The area for a circle is:

A = [PI*d^2] / 4

Then

A = (25/2)*[tex]\pi[/tex]

Best regards

6x2+1<

6x2<-1

=×2<=-1/6 B is the answer

Answer:

6x2+1<

6x2<-1

=×2<=-1/6

Step-by-step explanation:

B is the answer

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷P*5/6=4

First, you need to multiply each side by 6/5 to get ride of the 5/6:

p=24/5

Final answer:

p=24/5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

The correct answer is A.

Step-by-step explanation:

You can see that it's not a rectangle because the aides that are adjacent to are not perpendicular.

Answer:

D

Step-by-step explanation:

:D

Answer:

The correct option is:  A.  463 square units.

Step-by-step explanation:

According to the given diagram, the side length of the regular octagon is 11 units.

So, the perimeter[tex](p)[/tex] of the octagon [tex]=(11\times 8)units= 88\ units[/tex]

The apothem[tex](a)[/tex] of the octagon is 13.28 units.

So, the area of the octagon:  [tex]A=\frac{1}{2}pa=\frac{1}{2}(88)(13.28)=584.32\ units^2[/tex]

Now, the side length of the inside square is 11 units. So, the area of the square  [tex]=(11)^2 =121\ units^2[/tex]

Thus, the area of the shaded region [tex]=(584.32-121)units^2=463.32\ units^2 \approx 463\ units^2[/tex]

Answer:

Answer: 38 Seats

Step-by-step explanation:

Answer:

1000 units wide, 300 units is the height

Step-by-step explan

you do 500-(-500) for the wideness, 1000 and for height, 0-(-300) is 300

Answer:

m = 1/3

Step-by-step explanation:

The equation of a straight line is given by the equation of the form;

y = mx+c

The slope of the line is simply the coefficient of x in the equation, m in this case. The given equation can be re-written as;

y = 1/3 x + 4

The coefficient of x is 1/3 which is also the slope.