Answer:
4 : 18, 8 : 36
Step-by-step explanation:
We multiply to find equal ratios.
2 x 2 = 4
9 x 2 = 18
4 x 2 = 8
18 x 2 = 36
We get 4 : 18, 8 : 36.
Answer:
degrees and the measure of angle 5 is -------- degrees. The measure of angl
Step-by-step explanation:
Since ![[0,4]=[0,1]\cup(1,4]](https://tex.z-dn.net/?f=%5B0%2C4%5D%3D%5B0%2C1%5D%5Ccup%281%2C4%5D)
, we can rewrite the integral as
Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:
Both integrals are quite immediate: you only need to use the power rule
to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
Answer: 1795.
Step-by-step explanation:
The statement states that it was invented "177 years before".
It also states the year the video game was invented which is 1972.
1972-177=1795.
Answer:
Step-by-step explanation:
- 4x² - 36x + 81 = 0
- (2x)² - 2*2x*9 + 9² = 0 Identity a² - 2ab + b² = (a - b)²
- (2x - 9)² = 0
- 2x - 9 = 0
- 2x = 9
- x = 4.5
