Q = p(r + s)
Use the distributive property
Q = pr + ps
Q = p x r + p x s
Q = p x p + r x s
Q = p^2 + rs
Subtract rs from both sides
Q - rs = p^2
Square root both sides
sqrt Q - rs = p
Answer:
3.762 x 10^-7
Step-by-step explanation:
Alright this has the same exact concept as other scientific notation problems.
First, multiply your first numbers: 4.18 x 9 = 37.62
Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)
We now have 37.62 x 10^-8
Wait! This isn't in scientific notation.
Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.
Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.
Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer
3.762 x 10^-7
It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
Answer:
150 feet by 300 feet.
Step-by-step explanation:
The fence is to enclose a rectangular area of 45,000 ft squared.
If the dimensions of the rectangle are x and y
Area of a rectangle = xy
- xy=45000
Perimeter of the Rectangle =2x+2y
Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides.
- Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)
Substitute into the Cost to get C(y)
C=12x+6y
The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.
Recall,
Since x=150, y=300
The dimensions that will be least expensive to build is 150 feet by 300 feet.
