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wolverine [178]
3 years ago
15

What is the slope of the line that passes through the points (10,5) and (9,5)? Write

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

slope of line is 0.

Step-by-step explanation:

Slope of a line passing through (x1,y1) and (x2,y2) is given by

m = (y2-y1)/(x2-x1)

Given points are  (10,5) and (9,5)

thus

slope = (5-5)/(9-10) = 0/-1 = 0

Thus, slope of line is 0.

When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.

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The riddle given by Dr. Watson to Sherlock Holmes is:

217 is to 335
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We need to find the missing number of the third pair of the riddle. This is a ratio and proportion problem.

217/ 335 = 896/ 543 = 345 / x

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8 0
3 years ago
Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

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3x + 2a = 0

3x = -2a

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Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

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2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

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You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
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Step-by-step explanation:

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gulaghasi [49]

Answer:

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2 years ago
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