Answer: a=24
Step-by-step explanation:
Lets find the line's formula (equation of the line).
As known the general formula of any straight line (linear function) is
y=kx+b
Lets find the coefficient k= (Yb-Ya)/(Xb-Xa)=(9-7)/(-4-3)=-2/7
(Xb;Yb)- are the coordinates of point B
(Xa;Ya) are the coordinates of point A
Now lets find the coefficient b. For this purpose we gonna use the coordinates of any point A or B.
We will use A
7=-2/7*3+b
7=-6/7+b
b=7 6/7
So the line' s equation is y= -2/7*x+7 6/7
Now we gonna find the value of a usingcoordinates of point C.
Yc=1, Xc=a
1=-2/7*a+7 6/7
2/7*a= 7 6/7-1
2/7*a=6 6/7
(2/7)*a=48/7
a=48/7: (2/7)
a=24
13. 3 because 4*3= 12. 12-2=10.
Answer:
The answer is ![f=\frac{9r}{5}.](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B9r%7D%7B5%7D.)
Step-by-step explanation:
Given:
The farmer’s market has a total of 98 tents.
The ratio of food tents to retail tents is 9:5.
Now, to write the system of linear equations that represents this situation.
The total tents = 98 tents.
<u><em>Let the food tents be </em></u>
<u><em /></u>
<u><em>And the retail tents b</em></u>e ![r.](https://tex.z-dn.net/?f=r.)
So, the total tents:
![f+r=98.](https://tex.z-dn.net/?f=f%2Br%3D98.)
<em>As, given the ratio 9:5.</em>
Now, to write the system of linear equations:
![f:r=9:5](https://tex.z-dn.net/?f=f%3Ar%3D9%3A5)
![\frac{f}{r} =\frac{9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Br%7D%20%3D%5Cfrac%7B9%7D%7B5%7D)
<em>Multiplying both sides by </em>
<em> we get:</em>
![f=\frac{9r}{5}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B9r%7D%7B5%7D)
Therefore, the answer is ![f=\frac{9r}{5}.](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B9r%7D%7B5%7D.)