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lbvjy [14]
3 years ago
13

Which one is it?? because I really I dont under​

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

Choice D.

Discussion:

Substitute the values (5,7), (8,13) into the equations and see what we get..

A.  (5,7). Does 3(5) -7 = 8. Yes  

    (8,13). Does 3(8)-13 = 8 ? No. Points  (8.13) does NOT lie on the line

B.  (5.7). Does 7 = 5 + 2. Yes.

    (8,13). Does 13 = 8 +2 ? No. Points  (8.13) does NOT lie on the line

C.  (5,7). Does 7 -5 = 5 ? . No

    (8,13). Does 13-8 = 5? Yes

D.  (5.7). Does 7 = 2(5) - 3  ?  Yes.

    (8,13). Does 13 = 2(8) - 3?  Yes

Only choice D has both points lying on the line.

Thank you,

MrB

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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

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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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