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natita [175]
2 years ago
11

F(x)=3/x+2-√x-3 f(19)=​

Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

  • - 27/7

Step-by-step explanation:

Given

  • f(x)=3/(x+2) - √(x-3)

To find

  • f(19)

Solution

  • f(19) =​ 3/(19 + 2) - √(19 - 3) = 3/21 - √16 = 1/7 - 4 = - 27/7
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2 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

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substitute

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step 2

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The equation in point slope form is

y-y1=m(x-x1)

we have

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substitute

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y+3= -x-9

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step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

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d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

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8 0
8 months ago
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
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7 0
3 years ago
The surface area of a cube is 96 square feet. Find the volume of the cube.
Tamiku [17]
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4 0
3 years ago
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