Twice a number k plus 8 equals one-half times the quantity of four times a number k plus fourteen ?

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:

acute angle

Step-by-step explanation:

just took the test

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Answer:

slope is -2

Step-by-step explanation:

10-8=2

2-3=-1

2/-1

-2

Answer:

617/1000

Step-by-step explanation:

61.7% as a percent in case u need it :)

Answer:

2 + n + 6 = 8 + n

Step-by-step explanation:

that should be the answer

Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS

Answer:

2.5

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

(B) 0.752 and 0.232323....

Answer:

Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Step-by-step explanation:

The area of rectangle = [tex]24x^6y^{15}[/tex]

Width of rectangle = [tex]2x^3y^9[/tex]

We need to find length of rectangle

The formula used is: [tex]Area=Length\times Width[/tex]

Putting values and finding length

[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]

So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Answer: 20× + 10 < 90

Step-by-step explanation:

Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

Inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

Inequalities are commonly represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Let's assume Blake has to mow x lawns to have at least $90 saved.

Since he earns $10 for every lawn he mows, the amount he will earn by mowing x lawns is 10x.

Adding his initial savings of $20 to the amount he will earn from mowing lawns gives us the following inequality:

20 + 10x ≥ 90

Subtracting 20 from both sides:

10x ≥ 70

Dividing both sides by 10:

x ≥ 7

Therefore, Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

To know more about inequality follow

https://brainly.com/question/25275758

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Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

y = 3x + 2 this is the answer if I am right

Answer:

The numbers would be 80 and 8

Step-by-step explanation:

Hope this helps

Answer:

We have, x - y = 72

    and, x = 10y

so, 10y - y = 72

         y = 8

so, x= 80

Step-by-step explanation:

Answer:

y = 91/33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

26 - (6y - 10) = 27y - 18 - 37

Step 2: Solve for y

Answer:

45h that the answer I think

Answer:

C and h are both variables so the answer is ∞.

Answer:

40 cm ; 30cm ; 20cm

Step-by-step explanation:

Given that:

Sides of a triangle are in the ratio 2:3:4

Let :

length of the sides = 2x, 3x, 4x

longest side = 4x

Mid side = 3x

Shortest side = 2x

Length of longest side is 20 cm longer than shortest side

4x = 2x + 20 - - (1)

4x - 2x = 20

2x = 20

x = 10

Hence,

longest side = 4x = 4*10 = 40 cm

Mid side = 3x = 3 * 10 = 30 cm

Shortest side = 2x = 2 * 10 = 20 cm

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

Answer:

B. 15

Step-by-step explanation:

Answer:

Z = 70

Step-by-step explanation:

14×25 = 5z

350 = 5z

Z = 350/5

Z = 70

Answer:

12

Step-by-step explanation

so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.

then i multiplied to 4 x 3 to get the missing side length which equals 12

Answer:

the answer is 12

Step-by-step explanation:

to find the length we us this formula a²+b²=c²

a²+b²=c²

a²+(9)²=(15)²

a²+81=225

a²=225-81

a²=144

a=√144

a= 12 unit

Answer:

Step-by-step explanation:

= - 7

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Step-by-step explanation:

Fractions consisting of integers are only undefined if the denominator is zero. All other combinations will give you a rational number.

42 / (-7)

We can multiply both halves of the fraction by -1 to move the negative sign into the numerator:

-42 / 7

Then divide 42 by 7 to get:

-6

Answer:

ummmmmm

Step-by-step explanation:

Answer:

25%

Step-by-step explanation: