Rectangle B because and enlargement is when the dimensions of a shape are dilated by the same scale factor. if you multiply 5 an d6 by 3 you get 15 and 18 which are the dimensions of rectangle B
If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Answer:
a) 4106.25 gallons
b) $46
Step-by-step explanation:
We are given the following in the question:
Leakage rate of faucet = 1 oz per minute
Cost of water = $11.20 per 1000 gallons
1 gallon = 128 oz
a) water are wasted in a year
1 hour = 60 minutes
1 day = 24 hours
1 year = 365 days
Amount of water wasted =
Thus, 4106.25 gallons of water is wasted every year.
b) additional money spent
Thus, approximately $46 is the additional money spent on water bill.
Answer:
The correct answer is : DCQ ( angle) = DCE (angle)
