Answer:
( x +2)² + ( y - 4)² = 81
Step-by-step explanation:
The equation for a circle in standard form is ( x – h)² + ( y - k)² = r², where the center is (h, k) and the radius is r.
Putting the question's given information into the formula gives you
[ x – (-2)]² + ( y - 4)² = (9)²
( x + 2)² + ( y - 4)² = 81
Answer:
For angle B which is 50 degrees,
hypotenuse = AB =?
Adjacent = BC = 2 units......(given)
cos 50 = adjacent / hypotenuse
0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)
AB * 0.643 = 2
AB = 2 / 0.643
AB = 3.11 units(approx)
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
--------------------
13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
Answer: it has a 20% increase
Answer:
c = 5b - 25
Step-by-step explanation:
If
x² − bx + c = 0
where x = 5
we have
(5)² − b*(5) + c = 0
⇒ 25 - 5b + c = 0
⇒ c = 5b - 25 = 5*(b - 5)
