5m + 3n + p
-5p + 3n
2n - m
Arrange them in like terms
5m + 3n + p
+ 3n - 5p
add; <u>-m + 2n
</u> 4m + 8n - 4p Choice No. 4.<u>
</u>
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Answer:
Option D) The prisoner is actually guilty and the jury sets him free.
Step-by-step explanation:
We are given the following in the question:
Null Hypothesis:
The null hypothesis states that the prisoner is innocent
Alternate Hypothesis:
The alternate hypothesis states that the prisoner is guilty and not innocent.
Type II error:
It is the type error made when we fail to reject the ll hypothesis when it is actually false.
That is we accept a false null hypothesis.
Thus a type II error in the above scenario will be to accept that the prisoner is innocent (accepting the null hypothesis) when actually he is guilty( the alternate hypothesis)
Thus, type II error would be setting free a guilty prisoner.
Option D) The prisoner is actually guilty and the jury sets him free.
The equation a line is:
y - y1 = m(x - x1)
Substitute the slope and the coordinate.
y - (-7) = -23(x - 1)
y + 7 = -23(x - 1)
D) y + 7 = -23(x - 1) is the solution
Answer:
The surface area of the object would be 0 or zero because there is not an object.
∫∫- Depree
