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
Answer:
x=6
Step-by-step explanation:
3+x=9
-3 -3
x=6
Answer: $244.83
Step-by-step explanation:
First find the original amount spent on dvds:
$12.95 * 4 = $51.80
Then, the sales tax (6.5% is converted to decimal form by dividing by 100):
$51.80 * 0.065 = $3.367
Add the sales tax to the original amount to get the total amount spent:
$51.80 + $3.367 = $55.167
Round to the nearest hundredth:
$55.167 -> $55.17
Subtract the total amount from the money received for his birthday:
$300 - $55.17 = $244.83
D^2 - 4d = 3d
d^2 - 7d = 0
d(d - 7) = 0
d = 0 or d - 7 = 0
d = 0 or d = 7
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines meet at a 90 degree angle.
