<span>(5 + 3i)(8 - 2i) =
40 - 10i + 24i - 6i</span>² =
40 + 14i - 6(-1) =
40 + 14i + 6 =
46 + 14i
Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Multiply by 4 to get rid of fraction
4(18) = 4(x/4 + 7)
72 = x + 28
x = 44
Solution; x = 44
................................... "she accidently put in cups" ???? But she calls for 6 cups sugar. how many cups did she accidently put it?
Answer:
150.72 units³
Step-by-step explanation:
The formula for solving the volume of a cylinder is:
V = pi (3.14) r² h
V = (3.14) (4) (3)
V = 150.72 units³
