Question

2 and 3 50 points and Brainlyest

Answer 1

AAnswer:

AB (-1, 4) = 34^ and B = (3,-1) 249*32 = 20

Step-by-step explanation:

Answer 2

Answer:

$AB=\sqrt{53}\:\sf units$

$EF=\sqrt{349}\:\sf units$

Step-by-step explanation:

Distance between two points

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

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}.$

Given:

• A = (-4, 1)
• B = (3, -1)

Substitute the given points into the distance formula and solve for AB:

$\begin{aligned}\implies AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(3-(-4))^2+(-1-1)^2}\\& =\sqrt{(7)^2+(-2)^2}\\& =\sqrt{49+4}\\& = \sqrt{53}\end{aligned}$

Given:

• E = (-7, -2)
• F = (11, 3)

Substitute the given points into the distance formula and solve for EF:

$\begin{aligned}\implies EF & =\sqrt{(x_F-x_E)^2+(y_F-y_E)^2}\\& =\sqrt{(11-(-7))^2+(3-(-2))^2}\\& =\sqrt{18^2+5^2}\\& =\sqrt{324+25}\\& =\sqrt{349}\end{aligned}$

Learn more about the distance formula here:

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