Evaluate (27)-2
-2/3
Express your answer as a fraction in simplest form.
The solution is

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

Answer:19x^2-68x

Step-by-step explanation:

first, add the 2x on the side of the large rectangle to the 2x on the pool side to find the length. then find the area of the entire image (4x•8x-10=32x^2-40x) now find the area of the pool (2x•6x-14=12x^2-28x) and add it to the area of the hot tub (x•x=x^2) (13x^2-28x) finally subtract that from the area of the entire image (32x^2-40x=19x^2-68x)!

Answer:

a

Step-by-step explanation:

Answer:

1 1/3?

Step-by-step explanation:

Answer:

512 ways

Step-by-step explanation:

Given

Selection

Faculty Member = 1

Male Student = 1

Female Student = 1

Parent = 1

School Board Member = 1

Select from:

Faculty Member = 2

Male Student = 4

Female Student = 4

Parent = 4

School Board Member = 4

Required

Determine how many ways they can be selected

There are 2 faculty members of which 1 will be selected from.

Any of these two members may be selected.

So, Selection = 2

There are 4 male students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 female students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 parents of which 1 will be selected from.

Any of these four parents may be selected.

So, Selection = 4

There are 4 school board members of which 1 will be selected from.

Any of these four members may be selected.

So, Selection = 4

Total number of selection is then calculated as thus:

[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]

[tex]Selection = 512[/tex]

Hence, there are 512 ways

slope is 3

Step-by-step explanation:

y2-y1/x2-x1

so 3-0/-1--2 or 3-0/-1+2

Complete question :

Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race

Answer:

28.5

Step-by-step explanation:

Time taken by Ella = 37.6 minutes

Time taken by Miranda = 9 1/10 minutes sooner than Ella

Hence,

Miranda's finish time :

37. 6 minutes - 9 1/10 minutes

37.6 - 91/10 minutes

37. 6 minutes - 9.1 minutes

= 28.5 minutes

Answer:

true

Step-by-step explanation:

mark as brainliest  plz

Answer:

True

Step-by-step explanation:

400 + 60 x 90 = 400 + 5400 = 5800

60 x 90 + 400 = 5400 + 400 = 5800

Answer:

ME

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

Answer:

A) 11.3°

Step-by-step explanation:

got it right on edge :)

The measure of the angle between the vectors will be 11.3°. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The angle between the vector is given as,

[tex]\theta = \cos^{-1} \dfrac{u \cdot v}{\left|a \right|\left|b \right|}[/tex]

Given vectors u = (2, -3) and v= (1, -1).

Then the measure of the angle between the vectors will be

[tex]\theta = \cos^{-1} \dfrac{(2, -3)\cdot (1, -1)}{\sqrt{2^2+(-3)^2} \ \sqrt{1^2 + (-1)^2}}\\\theta = \cos^{-1} \dfrac{2 + 3}{\sqrt{13} \sqrt{2}}\\\theta = \cos^{-1} \dfrac{5}{\sqrt{26}}\\[/tex]

θ = 11.3°

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer:

D is the correct answer

Step-by-step explanation:

hopes this helps

Answer:

C- $4,822

Step-by-step explanation:

4% of 41300 is 1652

4.5% of 44100 is 1984.5

3% of 39500 is 1185

1185 + 1984.5 + 1652 = 4821

4822 is 1 number away from 4821, which is the closest of all of the choices. Therefore the answer is C- 44,822. If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer

The answer is B

Answer:

2

Step-by-step explanation:

x+16=9x

x-9x=-16

-8x=-16

x=2

+16=9

x+16=9xx+16=9x

Solve

Subtract

16

1616

from both sides of the equation

+16=9

x+16=9xx+16=9x

+16−16=9−16

Simplify

Subtract the numbers

=9−16

x=9x-16x=9x−16

Subtract

9

9x9x

from both sides of the equation

=9−16

x=9x-16x=9x−16

−9=9−16−9

Simplify

Combine like terms

Combine like terms

−8=−16

Divide both sides of the equation by the same term

−8=−16

-8x=-16−8x=−16

−8−8=−16−8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=2

Answer:

B. 15

Step-by-step explanation:

Answer:

Reflection over the y-axis and a translation down two units

Step-by-step explanation:

You can see that the corners of the triangle have been vertically reflected because of their orientation and then you have to think about what that would look like and decide what else was done to the object. With this, we can tell that the object moved down 2 units.

Answer:

the ine you have selected is right

Step-by-step explanation:

we know12 inches is 1 foot we can keep going up andsee that 24 inches is 2 and so on

Answer: C correctly converts inches to feet.

Step-by-step explanation:

12 inches is one foot. 12+12 is 24. 12+12+12+12 is 48. And so on

Step-by-step explanation:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6 , the six is in the tenths place , so we place 6 over 10 to create the equivalent fraction , 6 / 10

Answer:

7200 word in 1 hour

Step-by-step explanation:

360/3 to get how many words she can read in a minute which is 120.

Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

Answer:

Step-by-step explanation:

Both the equations that you modelled are correct.

Use the substitution method to solve the system of equations

[tex]R+C = 526\\5R+4C=2327\\[/tex]

Take the first equation

[tex]R+C=526\\C=526-R[/tex]

Now this becomes our third equation and now insert it into our second equation

[tex]5R+4C=2327\\5R+4(526-R)=2327\\5R+2104-4R=2327\\R=2327-2104\\R=223[/tex]

Now insert R = 223 in any equation. Lets insert it into equation number three

[tex]C=526-R\\C=526-223\\C=303[/tex]

So 223 number of roll papers were sold and 303 number of candles were sold.

I have attached the graph below check it out.

Where both the equations of line intersect is our solution thus we can confirm that our answer is correct.

Solve for x in first equation:

x-2y=7

Add “2y” to both sides

x=2y+7

Put this in to second equation:

3(2y+7)+2y=21

Solve for y:

Distribute the 3 into the ()

6y+21+2y=21

Combine the like y terms

8y+21=21

Subtract 21 from both sides

8y=0

Divide by 8 on both sides

y=0

Put this into the first solved equation:

x=2(0)+7

Solve for x:

Multiple 2(0)

x=0+7

Add 0 and 7

x=7

So the value of x is positive 7.

1) A

Equations simplified:

A: y = 2x + 3

B: y = -3x + 3

2) Red is A, Blue is B

Answer:

C.

Step-by-step explanation:

I got this correct!

Answer:

acute angle

Step-by-step explanation:

just took the test

Answer:

x=28

Step-by-step explanation:

Set 2x-4 equal to 60 and solve.

The three angles in the triangle add up to 180. Divide this by 3 and you get 60.

Answer:

y=-.386x + 2.879

Explanation:

For these type of calculations, you would have to use a graphing calculator to use the linear regression function. What this does is, it takes the x & y values given on the chart and it gives you the best possible linear equation for the given data set.

The exact results were:

y = -0.3862928349 + 2.869158879

Answer:

sqrt166, 13, 14

Step-by-step explanation: