Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
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
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
The greatest common factor of the two terms is 33a^3.
With the numbers 66 and 99, the greatest common factor is 33. It is the largest number that divides evenly into both.
For the variables, the most that is in common in both is a^3.
Answer:
The correct answer is "rational" . It is not an "integer" because it is a "decimal value". It is not "irrational" because the decimal value terminates and does not repeat.
Answer:
y = - 400 + 700x
Step-by-step explanation:
Nour's altitude increased at a constant rate from the Dead Sea up to Amman.
Initially, her altitude was 400 meters below from the sea level and then she arrived at an altitude was 1000 meters above sea level arrived to Amman, 2 hours later.
So, she moves (400 + 1000) = 1400 meters in 2 hours.
Therefore, her rate of change of altitude is
meters per hour.
Therefore, if y represents Nour's altitude in meters relative to the sea level after x hours then the relationship between the altitude and number of hours is given by
y = - 400 + 700x (Answer)