Question

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he use? square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared square root of the quantity of 7 minus 3 all squared plus 4 minus 1 all squared square root of the quantity of 7 minus 4 all squared plus 3 minus 1 all squared square root of the quantity of 4 minus 7 all squared plus 1 minus 3 all squared

Answer 1

sooooo messy dude D: but the answer is (7-1)^2 + (4-3)^2

Try to memorize the distance formula because in highschool you're going to use that A LOT.

Best of luck https://gyazo.com/150dc8a2f4905b4f8d0e94d8690e2b47

Answer 2

Answer:

Option (1) is correct.

Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Step-by-step explanation:

Given : Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7).

Distance between two points can be calculate using distance formula,

Distance formula states given two points P(a,b) and Q(c,d)  the distance between P and Q can be calculated using the given expression ,

$D=\sqrt{(c-a)^2+(d-b)^2}$

Thus,  distance between point E(3, 1) and point F(4, 7) can be calculate using above formula as ,

Here, a= 3 , b= 1 , c = 4 and d = 7

$D=\sqrt{(c-a)^2+(d-b)^2}$

Substitute above values, we get,

$D=\sqrt{(4-3)^2+(7-1)^2}$

$D=\sqrt{(1)^2+(6)^2}$

$D=\sqrt{37}$

Thus, Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Thus, Option (1) is correct.