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sasho [114]
3 years ago
8

I need help on number 10 please!

Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer: y = 4x/3 - 5/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

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

The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is

m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of line L2 passing through the midpoint, M is 4/3

The formula determining the midpoint of a line is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]

= (0, - 5/2]

This means that the y intercept of line L2 is - 5/2

The equation of L2 becomes

y = 4x/3 - 5/2

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Step-by-step explanation:

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2 years ago
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Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

  • f(x) = −4 sin(x − 0.5) + 11

We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

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Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

  • Also we are given a table of values for function h(x) as:

x    y

−2   14

−1   9

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  1   5

 2   6

 3   9

 4   14

Hence, the minimum value attained by h(x) is 5. ( when x=1)

  • Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)

so, the equation will be:

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Hence the function g(x) is given as:

g(x)=x^2-6x+15

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Hence, the minimum value attained by g(x) is 6.

Hence the function which has the smallest minimum is h(x)

6 0
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