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insens350 [35]
3 years ago
9

Find the gradient of the line segement between the points (0,-6) and (2,-16)

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

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(2r - 6)(-5r+4) what is the product
Akimi4 [234]

Answer:

-10r^{2} +38r-24

Step-by-step explanation:

Apply FOIL method: (a+b)(c+d)=ac+ad+bc+bd

a=2r,b=-6,c=-5r,d=4

=2r(5-r)+2r*4+(-6)(-5r)+(-6)*4

Apply minus - plus rules

+(-a)=-a,(-a)(-b)=ab

=-2*5rr+2*4r+6*5r-6*4

Simplify

Multiply -2*5rr=-10r^{2}

=-10r^{2} +2*4r+6*5r-6*4

Multiply 2*4r=8r

=-10r^{2} +8r+6*5r-6*4

Multiply 6*5r=30r

=-10r^{2} +8r+30r-6*4

Combine like terms

=-10r^{2} +38r-6*4

Multiply -6*4=-24

=-10r^{2} +38r-24

-10r^{2} +38r-24

6 0
3 years ago
6
Tasya [4]

Answer:

Step-by-step explanation:

B=brackets

i= indices

D= division

M=multiplication

A= addition

S= subtraction

7x10000/5x100/6x1

7x10000=70000/500/6

70000/500=140/6= 23.33

8 0
3 years ago
I need help so much please help the attachment below is the question i need help on
leonid [27]

Answer:

\dfrac{\sqrt[12]{55296}}{2}

Step-by-step explanation:

Rationalize the denominator, then use a common root for the numerator.

\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}

3 0
3 years ago
. A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number
KengaRu [80]

Answer: It should be 18...(Multiple of 9)

Step-by-step explanation:

3 0
3 years ago
This is under the Category Exponent Rules (Variable and Coefficients)
Vsevolod [243]

Answer:

20x^6

Step-by-step explanation:

multiply bases and add exponents

4 0
3 years ago
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