Answer:
The answer is
<h2>
![y = - \frac{3}{5} x + 13](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20%2B%2013)
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 3x + 5y = 11
We must first write the equation in the general equation above
So we have
5y = - 3x + 11
Divide both sides by 5
<h3>
![y = - \frac{ 3}{5} x + \frac{11}{5}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B%203%7D%7B5%7D%20x%20%2B%20%20%5Cfrac%7B11%7D%7B5%7D%20)
</h3>
Comparing with the general equation above
Slope = - 3/5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 3/5
So the equation of the line using point
(15, 4) and slope - 3/5 is
<h3>
![y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20%28x%20-%2015%29%20%5C%5Cy%20-%204%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20%2B%209%20%5C%5C%20y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20%2B%209%20%2B%204)
</h3>
We have the final answer as
<h3>
![y = - \frac{3}{5} x + 13](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20%2B%2013)
</h3>
Hope this helps you
Answer:
First,
the age of the son: s
the age of the father is 2 less than 7 times the age of his son: 7s - 2
In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will
increase 3, so s+3. Also, the age of his
father also increase 3, (7s-2)+3
(s+3)+ [(7s-2)+3] = 52 is the equation.
(2*40%+x*10<span>0%)/(2+x) = 70%; calculate x !</span>
Answer:
Step-by-step explanation:
(3)*2=6
-
(3)*(-2)=-6
6-(-6)=12
3*3=9
+2(-2)=-4
9+ -4= 5