Answer:
I hope it helped u.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
Subtract x from both sides
Divide both sides by 3
The slope of the line is the coefficient of x
Slope = 
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of
Having calculated the slope, next is to calculate the equation of the line using the following formula;
Where m is the slope; m = ; 
Substitute these values in the formula above; the formula becomes
Cross Multiply
Open brackets
Add x to both sides
Add 6 to both sides
Multipby both sides by -3
Comparing the above to Ax + By = 3
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Answer:
5
Step-by-step explanation:
I will give in y=mx+b and ax+by=c form
using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)
slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)
given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)
y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33
equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
