[1] The median to the base passes through the top point (0,b) and the bottom point (0,0) since it is going straight down. The slope formula is
So, the slope of the median is (b-0)/(0-0) = b/0. Technically, this is undefined, but let's leave it this way for now.
[2] The base passes through the left point (-a,0) and the right point (a,0). Its slope must be (0-0)/(a-(-a)) = 0.
[3] We now check if the slopes are negative reciprocals. Flipping b/0 over and putting a negative sign gives:
b/0 -> - 0/b = 0
So the slopes are negative reciprocals, which means the lines are perpendicular.
Step-by-step explanation:
start from f(g(x))
f(g(x))= 3(g(x)) -2
f(g(x))= 6x -2
h(f(g(x)))=(f(g(x)))² -5(f(g(x)))
h(f(g(x)))=(6x-2)² -5(6x-2)
h(f(g(x)))=36x²-24x+4-(30x-10)
h(f(g(x)))=36x²-24x+4-30x+10
h(f(g(x)))=36x²-54x+14
Answer:
-10n - 60
Step-by-step explanation:
Use the distributive property to simplify [ a(b + c) = ab + ac ]
-10(n + 6)
(-10 * n) + (-10 * 6)
-10n + -60
-10n - 60
Best of Luck!
Answer: Division of Polynomials is just like the long division that most of us despise but this division is with Variables
Step-by-step explanation:
Example
With whatever equation you have you will
- First: set up the division putting the dividend inside the divisor outside and to the left
- Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
- Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
- Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
- Fifth: Do the subtraction
- Sixth To subtract change all the signs in the second line, then add down.
- Next: Carry down that last term from the dividend
- From there you multiply and then add down again and you should be left with the answer....
If this was to many words let me know and I will upload a picture and explain with a real equation.
In this question, we are required to find the total amount he paid to buy the shirt.
It is given that sales tax is 5.5 % over the amount paid.
The cost price of the shirt = $ 24.
The total amount will be = Cost price + 5.5 % of Cost price
Or
Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)
Total amount = $ 24 + (5.5 % × $ 24)
Total amount paid = $ 24 + $ 1.32 = $ 25.32
