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Lesechka [4]
2 years ago
12

Which equation represents this line in point-slope form? (-3,4) and (3,-4)

Mathematics
2 answers:
Burka [1]2 years ago
8 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -3}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ 3}}\quad ,&{{ -4}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-4-4}{3-(-3)}\implies \cfrac{-4-4}{3+3}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=-3\\
m=\boxed{?}
\end{cases}\\
\end{array}\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
Feliz [49]2 years ago
4 0
So i'm guessing by what he says thats the last one
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wolverine [178]

Answer:

10.1%

Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

0.7 + 0.3 = 1

Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

x * 1 = 0.7 * 0.05 + 0.3 * 0.22

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x = 0.101

That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)

5 0
3 years ago
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

2.5= \frac{k}{4} so k = 10

2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
2 years ago
-4v = -9v + 10 V=<br> Help
Aleksandr-060686 [28]

Answer:

v=2

Step-by-step explanation:

5v=10

v=2

3 0
3 years ago
How do you find the radius of a circle​
tia_tia [17]

Answer:

To calculate the radius of a circle by using the circumference, take the circumference of the circle and divide it by 2 times π.

3 0
3 years ago
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How do I begin this equation
alex41 [277]
Trigonometry:
We know that   csc x = 1 / sin x    and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 = 
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3 years ago
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