Answer:
y=3x+28
Step-by-step explanation:
so a line perpendicular to one with a slope of 1/3 would have a slope of 3/1 which is just 3
so your line would be y=3x+b
to find b you just plug in the coordinates of the point that you want it to pass through into x and y. Remember that points are written as (x,y)
10=3x-6+b
10=-18+b
28= b
the equation is y=3x+28
Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is
40(12%) + x(30%) = (40 + x)(20%)
With the percents as decimals:
40(0.12) + x(0.3) = (40 + x)(0.2)
Simplifying, we have:
4.8 + 0.3x = 8 + 0.2x
Collecting the x terms on one side and the constants on the other:
0.1x = 3.2
And multiplying both sides by 10 to find x:
x = 32
So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
You can plug them each of them into a graphing calculator into y= and then check the table and compare which one is correct. Hope this helps
Answer:
The given expression 
on multiplying is 
Step-by-step explanation:
Consider the given two expressions 
and 
We have multiply both expressions,
To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,
Then power of x together will be,
Similarly for y powers,
Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is
Answer:
Option (C) is correct .
Step-by-step explanation:
As the expression given in the question as follows.
Now rationalize the expression.
Using the formula
a² - b² = (a - b) (a + b)
Using in the above
As i² = -1
Option (C) is correct .
