Answer:
It is B, 7 points.
Step-by-step explanation:
You can start from the point (8,2) and then you go up 7 points to reach the point (8,9) which is 7 points.
Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.
Similarly,
6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42
Center: (-5,-6)
Radius: 39
How to do it
Complete the square for
y
2
+
12
y
y
2
+
12
y
.
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
Step-by-step explanation:
Given
mass (m) = 5000 kg
velocity (v) = 100 km/h = 100* 1000/ 3600 = 27.78m/s
Now
Kinetic energy
= 1/2 mv²
= 1/2 * 5000 * 27.78²
= 1929321 joule
Answer:
answer and explanation below
Step-by-step explanation:
2.m<x=75(angle on the same line so 180-105)
m<y=105 (vertical angles of the parallelogram are equal)
m<z=75 ( vertical angle of m<x)
3.M<y = 25 ( vertical angle property)
m<z=155( on the same line)
m<z and M,x =155( vertical angles )
