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nydimaria [60]
3 years ago
8

Find the slope of the line through the points (4, 1) and (6, 3) I need help ASAP

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

The slope is 1

Step-by-step explanation:

Slope can be found using the expression \frac{y2-y1}{x2-x1}

In this case,

y2 = 3

y1 = 1

x2 = 6

x1 = 4

\frac{3-1}{6-4}  =  2/2 = 1

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The sum of two numbers is -6. The difference is 16. Find the two numbers.
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Answer:

-5\:\mathrm{and}\: 11

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}x+y=6\\x-y=16\\\end{cases}

Adding both equations together, we isolate x and get:

2x=22,\: x=11

Plugging x=11 in any of the equations, we can solve for y:

11+y=6,\: y=-5

Verify that the solution pair (11, -5) works \checkmark

Therefore, the two numbers are \fbox{$-5\:\mathrm{and}\: 11$}.

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Point, line and plane are the undefined terms 
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3 0
3 years ago
If the lengths of two sides of a right triangle are $5$ and $12$ units, what is the least possible length, in units, of the thir
Goryan [66]

The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

According to the given question.

We have a right angled triangle with the two side lengths 5 unit and 12 unit.

From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".

Let the third side of the triangle be x units.

So, by the properties of a triangle we can say that

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And 12 + 5 > x

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Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

Find out more information about properties of a triangle here:

brainly.com/question/27711437

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