Answer:
Step-by-step explanation:
The numbers are 11 & 12
Explanation:
Let the first number be f and the second |number be s
Now the square of first No. is 23 less than the square of second No.
ie. f
2
+
23
=
s
2
. . . . . (1)
The second No. is 1 more than the first
ie f
+
1
=
s . . . . . . . . . . .(2)
squaring (2), we get
(
f
+
1
)
2
=
s
2
expanding
f
2
+
2
⋅
f
+
1
=
s
2 . . . . . (3)
Now (3) - (1) gives
2
⋅
f
−
22
=
0
or
2
⋅
f
=
22
thus, f
=
22
2
=
11
and s
=
f
+
1
=
11
+
1
=
12
So the numbers are 11 & 12
Answer:
<u>1.</u> 2.328×
<u>2.</u> 487
<u>3.</u> 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
<u>1.</u>
(sub for t=8)
=
=
=2.328×
<u>2.</u>
(sub for s=4 and t=8)
=2×4×
-
=512-25
=487
<u>3.</u>
(the equation is not clear so I will do
as well)
<u>FOR</u> 
(sub s=4 and t=8)
=2×
-
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
<u>FOR</u> 
(sub s=4 and t=8)
=2×
-
=32-32
=0
Answer:
258.07 miles apart
Step-by-step explanation:
After 3 hours, 1st train is 70 *3 =210 miles North. The 2nd train will be 50*3 =150 miles East.
The distance apart is sqrt(210^2 +150^2)
= SQRT(44100+22500)
= 258.07 miles apart