Question

I will give brainliest to anyone who answer this right with a clear solution. Pls help ASAP. Thank you in advance.​

Answer 1

Answer:

31.  Omission of the square root sign in step 1.

32.  Subtracting the y-value from the x-value in each parentheses in step 1.

Step-by-step explanation:

$\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\\\\\where (x_1,y_1) and (x_2,y_2) are the two points.\\\end{minipage}}$

Given points:

• A = (6, 2)
• B = (1, -4)

Question 31

The error was the omission of the square root sign in the first step of the calculation:

$\textsf{Error}: \quad AB=(6-2)^2+(1-(-4))^2$

$\textsf{Correction}: \quad AB=\sqrt{(6-2)^2+(1-(-4))^2}$

Correct calculation:

$\begin{aligned}AB&=\sqrt{(6-1)^2+(2-(-4))^2}\\&=\sqrt{5^2+6^2}\\&=\sqrt{25+36}\\&=\sqrt{61}\\& \approx 7.8\end{aligned}$

Question 32

The error was subtracting the y-value from the x-value in each parentheses in the first step of the calculation, rather than subtracting the x-values and the y-values separately:

$\begin{aligned}\textsf{Error}: \quad AB&=\sqrt{(x_A-y_A)^2+(x_B-y_B)^2}\\ &=\sqrt{(6-2)^2+(1-(-4))^2}\end{aligned}$

$\begin{aligned}\textsf{Correction}: \quad AB&=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\&=\sqrt{(6-1)^2+(2-(-4))^2\end{aligned}$

Correct calculation:

$\begin{aligned}AB&=\sqrt{(6-1)^2+(2-(-4))^2}\\&=\sqrt{5^2+6^2}\\&=\sqrt{25+36}\\&=\sqrt{61}\\& \approx 7.8\end{aligned}$

Answer 2

Answer:

7.81

Step-by-step explanation:

x1= 1

x2= 6

y1= -4

y2= 2

31.The first one just has one minor error which is not putting a square root.

after putting the square root on  $\sqrt{61}$ you will get an answer which is 7.81 units

the second one has an error in putting the correct values

32. the equation for distance is $\sqrt{(x_2-x_1 )+(y_2-y_1)} }$ however the values are inputted wrong as x2=6 and x1=1 but here x1 is taken as 2 which is the value of y2 and instead of inputting y2 as 2 it is written as 1 which is the value of x1

Comment if you still don't understand