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hammer [34]
2 years ago
11

Select the correct answer.

Mathematics
1 answer:
frutty [35]2 years ago
6 0

Step-by-step explanation:

f(x) = x

g(x) = f(x - 11)

g(x) = x

g(x) = (x - 11)

g(x) = x - 11

So, g(x) = x - 11

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Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
1 year ago
Mr.wayne repeat his tie every 12 days and mr pickett repeats his tie every 10 days.what day will they wear the same tie
4vir4ik [10]
The answer would be day number 60
4 0
3 years ago
4x -5 = 2(2x +1)<br> I need help
Nostrana [21]

Answer:

No Solution

Step-by-step explanation:

4x-5=2\left(2x+1\right)

Expand:

4x-5=2* \:2x+2* \:1

4x-5=4x+2

Add 5 to both sides:

4x-5+5=4x+2+5

4x=4x+7

Subtract 4x from both sides:

4x-4x=4x+7-4x

0=7

No solution as this is false.

4 0
3 years ago
Read 2 more answers
Can someone help me in this please???
MArishka [77]
The first one is 15 mornings
3 0
3 years ago
Read 2 more answers
What, in degrees, is the measure of the largest angle in $\triangle PQR?$
irina1246 [14]

Answer:

108 degrees

Step-by-step explanation:

3x+x+6x=10x, 180/10=18 and 18x6 is 108

3 0
2 years ago
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