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mylen [45]
2 years ago
14

Find the measure of the indicated angle

Mathematics
1 answer:
Paul [167]2 years ago
6 0
Add them together and find x :)
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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
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
kvv77 [185]

The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

<h3>What are quotients?</h3>

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

Learn more on quotient here: brainly.com/question/673545

#SPJ1

4 0
2 years ago
8/9=x+1/3(7) solve with steps
Annette [7]

Answer:

x=-13/9

Step-by-step explanation:

8/9=x+7/3

8/9-7/3=x

8/9-(3)7/9=x

8/9-21/9=x

-13/9=x

I hope this helped. If you have any questions, please feel free to ask them.

4 0
3 years ago
Im in desperate need of help
Brut [27]
I don’t see a problem but repost it and I can see if I know it
8 0
3 years ago
In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.
ivann1987 [24]
24 daises is the answer because if there is 8 roses and the ratio is 1:3 then you would multiply 8 by 3 to solve.
6 0
3 years ago
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