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TiliK225 [7]
2 years ago
11

Solve for the value r.​

Mathematics
2 answers:
Firlakuza [10]2 years ago
6 0

Answer:

r=9

Step-by-step explanation:

7r-5=6r+4

7r-5=6r+4\\-6r    -6r\\1r-5=4\\   +5  +5\\\frac{1r}{1} = \frac{9}{1} \\r=9

hope this helps

klio [65]2 years ago
4 0

Answer:

R = 8.3144598 J. mol-1. K-1.

Step-by-step explanation:

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How many different committees can be formed from 7 teachers and 46 students if the committee consists of 3 teachers and 2 studen
JulijaS [17]
Sorry if this came too late.

_7C_3*_{46}C_2=36225

Not sure if you were looking for an explanation or just the answer. Let me know if you want more details.
5 0
3 years ago
Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line
Ber [7]

Answer:

The distance is:  

\displaystyle\frac{3\sqrt{142}}{10}

Step-by-step explanation:

We re-write the equation of the line in the format:

\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

\displaystyle\vec{v}=\left< 3, 2, \frac{5}{3}\right>

Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:

x=-2+3t\\y=3+2t\\\displaystyle z=-4+\frac{5}{3}t

We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4)  parallel to the given line:

\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3

Then we solve that equation for t, to get:

\displaystyle \frac{20}{3}t-3=3\to t=\frac{9}{10}

Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:

\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}

Then to find the distance we just use the distance formula:

\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

So we get:

\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}

3 0
3 years ago
3n+8=20 i need help i think it is algerbra
tia_tia [17]

turn the problem around

20-8=12

12/3=4

Your answer is 4.

4 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse?
seropon [69]

Answer:

Hello! answer: 65

Step-by-step explanation:

60 × 60 = 3600

25 × 25 = 625

3600 + 625 = 4225

√4225 = 65

65 × 65 = 4225 therefore c = 65 Hope that helps!

8 0
3 years ago
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What type of association does the scatterplot appear to have?
inn [45]

Answer:

positive linear association

Step-by-step explanation:

8 0
3 years ago
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