Answer:
B: (x + 1) = (y - 2)²
Step-by-step explanation:
0 = y² - x - 4y + 3
We want to find the equation of the parabola in vertex form.
The format for the vertex form is;
y = a(x - h) + k
Where (h, k) is the coordinate of the vertex.
Thus, let's transform 0 = y² - x - 4y + 3 into the vertex form
Let's rearrange to get;
x - 3 = y² - 4y
Let's use method of completing the square to get right hand side;
x - 3 = (y - 2)² - 4
Add 4 to both sides to get;
x - 3 + 4 = (y - 2)²
(x + 1) = (y - 2)²
2x - 6y = 14
2x = 6y + 14
x = 3y + 7.....so sub in 3y + 7 for x in the other equation
4x - y = 9
4(3y + 7) - y = 9
12y + 28 - y = 9
12y - y = 9 - 28
11y = - 19
y = -19/11
x = 3y + 7
x = 3(-19/11) + 7
x = -57/11 + 7
x = -57/11 + 77/11
x = 20/11
solution is : (20/11, -19/11) <==
Answer:
The answer is D).
Step-by-step explanation:
I am assuming that you are talking about exponents and powers. So I assumed that:
A) was 4.325 * 10^-9,
B) was 4.325 * 10^-6,
C) was 4.325 * 10^6,
D) was 4.325 * 10^9
I just went for gusto, and multiplied/solved answer D), and it was correct. I just punched into calculator, and boom. 4,325,000,000. I hope this helps!
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Answer:
10/21 or 0.476 miles per hour
Step-by-step explanation:
If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.
2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476