6x(5x to the second power -4x+1)
C (2,1) it is this add both equations it will give you this
Area = height * width / 2
Area = 4x * x / 2
8 = 4x * x /2
8 = 2x^2
x^2 = 4
x = 2 (width)
height = 4 * 2 =8
Area = 8 * 2 / 2 = 8
Hello from MrBillDoesMath!
Answer: (sin(@)) ^2 + (cos(@)) ^2 = 1 for all angles @.
Discussion
;
Take a point, say in the first quadrant. on a unit circle (circle with radius 1) Let that point by (x,y). The from the Pythagorean theorem.
x^2 + y^2 = r^2 or as r = 1
x^2 + y ^2 = 1 ("Equation 1")
If you drop a line from (x,y) perpendicular to the x axis you find that
y = r [email protected] or y = [email protected] as r =1.
and
x = r [email protected] or x = [email protected] as r = 1
(Look at the triangle formed by the radius, the perpendicular line and the positive x axis). Substitute these x and y values in Equation 1 above. This gives
([email protected])^2 + ([email protected])^2 =1
which is true for all angles. This is a key "pattern" or identity that you should commit to long term memory!
Regards, MrB
Answer:
3 pizzas
Step-by-step explanation:
First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30
We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.
For each pizza, we can add 10 slices, as there are 10 slices of pizza.
For the first pizza, we have 10 slices
For the second, we have 10+10 = 20 slices
For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!
Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.