Mathematics: Help! Which solution(s) are correct?

YESStep-by-step explanation:Find each length using the distance formula, ✔️Distance between A(-4, 2) and B(1, 4):Let,✔️Distance between C(2, -1) and D(4, 4):Let,AB = CD = √29Therefore, they both have the same length....

Help! Which solution(s) are correct? - id8181415, hidalgo8429

Ответ:

jude3412

04.02.2022

Mathematics

D. Matthew’s, Rhoda’s, and Ming’s

Step-by-step explanation:

√0.89 ≈ 0.94

Anyah is incorrect because both of her decimals are smaller than √0.89.

Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.

Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.

Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.

I hope this helps!

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Ответ:

terryonsavage543

10.02.2021

Mathematics

YES

Step-by-step explanation:

Find each length using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

✔️Distance between A(-4, 2) and B(1, 4):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

A(-4, 2) = (x_1, y_1)

B(1, 4) = (x_2, y_2)

$AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2}$

$AB = \sqrt{(5)^2 + (2)^2}$

$AB = \sqrt{25 + 4}$

$AB = \sqrt{29}$

✔️Distance between C(2, -1) and D(4, 4):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

C(2, -1) = (x_1, y_1)

D(4, 4) = (x_2, y_2)

$CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2}$

$CD = \sqrt{(2)^2 + (5)^2}$

$CD = \sqrt{4 + 25}$

$CD = \sqrt{29}$

AB = CD = √29

Therefore, they both have the same length.

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