Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
Answer:
B
Step-by-step explanation:
<u>To find the answer, you have to </u><u>multiply each term of the first parenthesis' expression with each term in the next parenthesis' expression.</u><u> Then </u><u>combine like terms</u><u>.</u> So we have:

Answer choice B is right.
Answer:
72
Step-by-step explanation:
1 out of 10 do not recommend naps, so 9 times as many do recommend naps.
9 × (8 doctors) = 72 doctors . . . . . recommend naps
If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
The polar equation will be
<h3> What is the polar equation?</h3>
A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.
From the equation, we are told that
The Eccentricity: e = 1
The Directrix is y = 4
Generally, the polar equation for e = 1 and y = + c is mathematically represented as

Therefore the polar equation will be
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