Answer:
<em>Center ~ ( -4, 3 ), Radius ~ 2; Option A</em>
Step-by-step explanation:
<em>~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~</em>
1. If we are given the circle formula ( x + 4 )^2 + ( y - 3 )^2 = 4, it would be that the center points ( a, b ) would be the inverse of 4 and -3, provided the formula is -a and -b: center ( -4, 3 )
2. Now the radius in the formula ( x - a )^2 + ( y - b )^2 = r^2, is noted by r such that in ( x + 4 )^2 + ( y - 3 )^2 = 4, r^2 is 4 ⇒ r = √4 = 2
3. We now know that the center of this circle is ( -4, 3 ) with a radius of 2, and the only graph that represents that function is the first graph ~
<em>Answer: Center ~ ( -4, 3 ), Radius ~ 2</em>
Answer:
9 cans per box
Step-by-step explanation:
72/8 = 9
...
Answer:
for every 1 boy theres 2 girls
Step-by-step explanation:
So you would do,
18 gallons of water divided by 0.5 gallons of water
if you did that correctly you should have gotten... 36 jugs
F1 . . . 100% of it = 900N is in the +x direction.
F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.
F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.
Total x-component: 900 + 530.3 - 520 = 1,950.3 N
Total y-component: 530.3 + 390 = 920.3 N
Magnitude of the resultant = √ (x² + y²)
= √(1950.3² + 920.3²)
= √4,650,070.09
= 2,156.4 N .
Angle of the resultant, measured counterclockwise
from the +x axis, is
tan⁻¹ (y / x)
= tan⁻¹ (920.3 / 1950.3)
= tan⁻¹ (0.4719)
= about 25.3° .
Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !