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3 years ago

What is the slope of the line (2,3) (1,-2)?

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

Answer:

Slope = 5

Step-by-step explanation:

<u>Points to remember</u>

slope of the line passing through the point (x₁, y₁) and (x₂, y₂) is given by

Slope m = (y₂ - y₁)/(x₂ - x₁)

<u>To find the slope of the given line</u>

Here (x₁, y₁) = (2, 3) and (x₂, y₂) = (1, -2)

Slope m = (y₂ - y₁)/(x₂ - x₁)

= (-2 - 3)/(1 - 2)

= (-5)/(-1)

= 5

Therefore the slope of given line is 5

RUDIKE [14]3 years ago

5 0

(-2-3)/(1-2) = -5/-1 = 5

The slope is 5

Hope this helps!

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A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t

Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

3 0

2 years ago

2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ at ratio $m_{1}:m_{2}$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

are A = (3 , 2) and B = (6 , 11)

∴ $(x_{1},y_{1})$ is (3 , 2)

∴ $(x_{2},y_{2})$ is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

the distance of the line AB, and the distance from the point (x , y)

to point B is 1/3 from the distance of the line AB

∴ $m_{1}:m_{2}$ = 2 : 1

∵ $x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5$

∴ The x-coordinate of the point of division is 5

∵ $y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8$

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

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3 years ago

What are these fractions in simplest form?

Anton [14]

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3 years ago

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Finger [1]

I think the answer here would be D. When it rains several inches, the water level of the lake increases, because the word Causation means: the relationship between cause and effect; causality. If it rains a lot, it will cause the lake to increase. ( if help on ur exam use Socratic and brainly!❤️) Hope you do well!!!

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3 years ago

Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?

Furkat [3]

Answer:

The first step is to multiply by a power of 10, so the divisor is a whole number.

Step-by-step explanation:

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3 years ago

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