This is a work problem. It can be solved as follows:
Houston = 1/x
Dominique = (1/2x)
Together = 1/5
Then, we add Houston and Dominique:
1/x + 1/2x = 1/5
Solve for x,
x = 2/15
Therefore, it would take 15/2 hours for Houston to ice by himself, the last option.
Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r =
= 6
Answer:
82° because
98° + 70° = 168°
360° - 168° = 192°
192° is for two angles, so it can't be 192°, 220°
it's not VERY obtuse angle. So it remains only 82°
Basically, this problem is saying that if you multiply x by 3, then you will get a number that is one less than y. So, if you switch that around a bit, then the problem is saying that if you subtract 3x from y, you'll get 1.
Your final answer should be y - 3x = 1.
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