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pogonyaev
3 years ago
15

Find the slope of the line through points

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The answer is

\huge  \frac{1}{9}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

From the question we have

m =  \frac{3  - 2}{1 -  - 8}  =  \frac{1}{1 + 8}  =  \frac{1}{9}  \\

We have the final answer as

\frac{1}{9}  \\

Hope this helps you

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nekit [7.7K]

Answer:

√97

Step-by-step explanation:

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3 years ago
Can you please give me that answer
4vir4ik [10]

Answer:

Obtuse Triangle

Step-by-step explanation:

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2 years ago
Find the total area of the prism.
Sergio [31]

Answer:

864

Step-by-step explanation:

AT= 2Area base+ph

AT= 2(12*12) +(12*4)12

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3 years ago
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
Simplify 4 + (30 + 2) Justify your steps​
Sveta_85 [38]

Answer:

The answer is 36

Step-by-step explanation:

1) Add 30 + 2 and get 32

2) Then you just add 32+4 and get 36

6 0
3 years ago
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