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Law Incorporation [45]
1 year ago
13

Questions are in the picture

Mathematics
1 answer:
gtnhenbr [62]1 year ago
3 0

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

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How do I answer this question?
Thepotemich [5.8K]

Answer:

The total cost for 8 skiers=316 dollars

Step-by-step explanation:

Given that the expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.

To simplify the given expression :

15n+12n+100=27n+100

27n=-100

Therefore n=\frac{-100}{27}

Now to find the total cost for 8 skiers.

The total cost for 8 skiers can be written as below

Put n=8 in the given expression 15n+12n+100

15(8)+12(8)+100

=120+96+100

=316

Therefore the total cost for 8 skiers is 316 dollars

The total cost for 8 skiers=316 dollars

4 0
3 years ago
Simplify the ratio 35:50
RoseWind [281]
35:50 simplified is 7:10 because 5 goes into 35 7 times and 5 goes into 50 10 times.
3 0
3 years ago
To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. Wha
stiks02 [169]
The area needed is at least 170.5 ft².

Let w  =  the width of the rectangular area.
Because the length is 15.5 ft, therefore the calculated area should be at least 170.5 ft². That is
(15.5 ft)*(w ft) ≥ 170.5 ft²
w ≥ 170.5/15.5
w ≥ 11 ft

Answer:  w ≥ 11 ft
7 0
3 years ago
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
SpyIntel [72]

Answer:

14

Step-by-step explanation:

{3x}^{2}  - 2y \\ 3 { \times 3}^{2}  - 2 \times 5 \\ 27 - 10 = 17

{2x}^{2}  - 3y \\ 2 \times  {3}^{2}  - 3 \times 5 \\ 12 - 15 =  - 3

17 - 3 = 14

7 0
2 years ago
Read 2 more answers
According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the close
amm1812

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

→ <u>C</u><u> </u><u>4 </u><u>crores</u>

Explaination :

2 - Unit place

3-tens place

9- hundred place

6 - thousand place

0- ten thousand place

4 - lakh place

3 - ten lakh place

4 - crore place

hence , closest approximation of this number is 4 crores.

7 0
2 years ago
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