Find the common denominator first--> 10
1/2= ?/10 ?=5
so 5/10 +9/10 (Now you just add the numerators and keep the common denominator the same)
14/10 and if you want to simplify it, simply divide both the top and bottom by 2
answer = 7/5
Answer:
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
The 1906 earthquake had a intensity of A and a magnitude of 7.8.
S is going to have the same value, so i am going to write as 1. So:
Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.
So 
So
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
Use the standard form to write two equations using points A and B:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
r
2
(
5
−
h
)
2
+
(
1
−
k
)
2
=
r
2
Because
r
2
=
r
2
, we can set the left sides equal:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
(
5
−
h
)
2
+
(
1
−
k
)
2
Expand the squares using the pattern
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
4
+
4
h
+
h
2
+
k
2
=
25
−
10
h
+
h
2
+
1
−
2
k
+
k
2
Combine like terms (noting that the squares cancel):
4
+
4
h
=
25
−
10
h
+
1
−
2
k
Move the k term the left and all other terms to the right:
2
k
=
−
14
h
+
22
Divide by 2
k
=
−
7
h
+
11
[1]
Evaluate the given line at the center point:
2
h
+
k
−
1
=
0
Write in slope-intercept form
k
=
−
2
h
+
1
[2]
Subtract equation [2] from equation [1]:
k
−
k
=
−
7
h
+
2
h
+
11
−
1
0
=
−
5
h
+
10
h
=
2
Substitute 2 for h in equation [2]
k
=
−
2
(
2
)
+
1
k
=
−
3
Substitute the center
(
2
,
−
3
)
into the equation of a circle using point A and solve for the value of r:
(
−
2
−
2
)
2
+
(
0
−
−
3
)
2
=
r
2
(
−
4
)
2
+
3
2
=
r
2
r
2
=
25
r
=
5
Substitute the center
(
2
,
−
3
)
and #r = 5 into the general equation of a circle, to obtain the specific equation for this circle:
(
x
−
2
)
2
+
(
y
−
−
3
)
2
=
5
2
Answer:
Take the length of your longest worm and subtract the length of your shortest worm from it
Step-by-step explanation:
Answer: B
Function 2's rate of change is 3/2, and Fuction 1's rate of change is 2/5
3/2 is bigger than 2/5
Proof:
3/2 (3 ÷ 2) = 1.5
2/5 (2 ÷ 5)= 0.4
