Answer:
4355475676537234265765432456786543245678765432345678976625w7645
Step-by-step explanation:
Answer:
40°
Step-by-step explanation:
It's half the angle at the centre
½×80 = 40
Answer:
(see below)
Step-by-step explanation:
First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.
Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.
There is one side and two angles, so it's AAS or SAA.
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
Step 1. Find the Greatest Common Factor (GCF)
GCF = 3m^2
Step 2. Factor out the GCF <span>(Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3m^2(15m^2/3m^2 + -12m^3/3m^2)
Step 3. Simplify each term in parentheses
3m^2(5 - 4m)</span>