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malfutka [58]
3 years ago
12

How to solve in slope intercept form of the equation of the line through each pair of points?

Mathematics
1 answer:
den301095 [7]3 years ago
4 0
Let the points be (p,q) and (r,s).
The slope is (s-q)/(r-p). The equation is y-s=(s-q)(x-r)/(r-p).
This can be written (y-s)(r-p)=(s-q)(x-r).
y(r-p)-s(r-p)=x(s-q)-r(s-q); y(r-p)=x(s-q)+rs-ps-rs+qr; y=x(s-q)/(r-p)+(qr-ps)/(r-p).
Note that r cannot be equal to p in this standard form. If r=p we have a vertical line x=p.
If q=s we have the horizontal line y=q.
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An observational study determined that there is a strong correlation between eating breakfast and weight loss. Can it be determi
mylen [45]

A common misconception in statistics is confusing correlation with causation. If two events are correlated, it merely means that they share the same behaviour over time, but it doesn't imply in any way that those event are related by a common cause, or even worse, that one implies the other.

You can find several (even humorous) counter examples online. For example, if you plot the number of reported pirates assault against the global temperature in the last years, you'll se that temperature is rising (unfortunately...) while pirates are almost disappearing.

One could observe this strong negative correlation and claim that hotter climate has solved the pirate issue. Of course this is a joke, but it explains why you shouldn't confuse correlation with causation.

7 0
3 years ago
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible length
zlopas [31]

Answer:

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

Step-by-step explanation:

For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.

Hence:

She has two sides of length 18 inches and 27 inches

Let the third side = x

Hence:

a) 18 + 27 > x

45 > x

b) 18 + x > 27

x > 27 - 18

x > 9

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

5 0
3 years ago
What is the area of the shaded region?
Mekhanik [1.2K]

9514 1404 393

Answer:

  434 -49π ≈ 280.1 cm²

Step-by-step explanation:

The shaded area is the difference between the enclosing rectangle area and the circle area.

The rectangle is 14 cm high and 31 cm wide, so has an area of ...

  A = WH

  A = (31 cm)(14 cm) = 434 cm²

The circle area is given by ...

  A = πr²

  A = π(7 cm)² = 49π cm²

__

The shaded area is the difference of these, so is ...

  shaded area = rectangle - circle

  = (434 - 49π) cm² ≈ 280.1 cm²

4 0
2 years ago
30π cm3<br><br><br> 35π cm3<br><br><br> 40π cm3<br><br><br> 45π cm3
dezoksy [38]
In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume, 
V = (1/3)π(3²)(10)
   = (1/3)(9)(10)π
   = (3)(10)π
   = 30π cm³
The correct answer is the first option which is 30π cm³.
8 0
3 years ago
Read 2 more answers
For the equation , y = -3x + 5 , tell whether its graph passes through the first quadrant. Explain how you know.
Vsevolod [243]
For any point to be in the first quadrant, it must have a positive "x" value and "y" value. 
If x = 1 then y = 2, a point with both x and y positive values which would be in the First Quadrant.




3 0
3 years ago
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