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matrenka [14]
3 years ago
12

points A,B and C lie in the coordinate plane.The slope between points A and B is 2.The slope between points B and C is 6. Sean s

ays the slope between A and C is 4 ,the average of 6 and 2. Is sean correct ?explain
Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer:

Sean is wrong

Step-by-step explanation:

Slope tell the rate of the steepness of a line. Slope just telling you the rate, not the distance. You can't average the slope of two lines because the length of the line can be different.  

Let's say A at (0, 0) and B (100, 200) and C at (101, 206). These coordinate fulfill the slope said above, but the slope of AC is 206/101= 2.04.

Sean can be right, but only if the horizontal length(x-axis distance) of AB=BC. If that so, using the example similar to above the coordinate can be A(0, 0), B(100, 200), C (200, 800). In this case, the slope is equal to the average of both lines.

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Elis [28]

Answer: It should be -2

Step-by-step explanation:

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makkiz [27]
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 8x2 - 4x + 7 =
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Checking for a perfect cube :
4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: 3x3 + 8x2 + 4x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x3 - 7
Group 2: 8x2 + 4x
Pull out from each group separately :
Group 1: (3x3 - 7) • (1)
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Please 5 star and like. Appreciated
8 0
3 years ago
Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2
Ivanshal [37]
Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
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6 0
3 years ago
a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
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Dmitriy789 [7]

Answer:

the answer would be 196.25

Step-by-step explanation:

8 0
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