Mathematics: Use point p(-1,7), q(0,-5) and r(3, 8) to calculate the following a. measure of pr b. slope of pq c. midpoint of qr

Use point p(-1,7), q(0,-5) and r(3, 8) to calculate

Ответ:

jjgccc

09.01.2022

A)

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
P&({{ -1}}\quad ,&{{ 7}})\quad 
% (c,d)
R&({{ 3}}\quad ,&{{ 8}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[3-(-1)]^2+[8-7]^2}\implies d=\sqrt{(3+1)^2+(8-7)^2}
$

B)

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
P&({{ -1}}\quad ,&{{ 7}})\quad 
% (c,d)
Q&({{ 0}}\quad ,&{{ -5}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-5-7}{0-(-1)}\implies \cfrac{-5-7}{0+1}$

C)

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ -5}})\quad 
% (c,d)
R&({{ 3}}\quad ,&{{ 8}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 3}} + {{0}}}{2}\quad ,\quad \cfrac{{{ 8}} + {{ (-5)}}}{2} \right)\implies \left(\cfrac{{{ 3}} + {{0}}}{2}\quad ,\quad \cfrac{{{ 8}} - {{ 5}}}{2} \right)$

0,0(0 оценок)

Ответ:

lin550

10.03.2021

Mathematics

C 10% Condition.

Step-by-step explanation:

Let's Look at them one by one.

A: Large Enough sample condition.

this is met because 600 students is a good number to carry out a surwey.

B: Randomization, 600 incoming freshman are definitely random.

C: we are left with C so the answer is C.

0,0(0 оценок)

Use point p(-1,7), q(0,-5) and r(3, 8) to calculate the following
a. measure of pr
b. slope of pq
c. midpoint of qr

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question