Answer:
8x - 3y = 12 _______( 1 )
5x = 2y + 7 _______( 2 )
On further solving ( 2 ), we get
5x - 2y = 7 _______( 3 )
Multiply ( 1 ) by 2
16x - 6y = 24 _______( 4 )
Multiply ( 3 ) by 3
15x - 6y = 21 _________( 5 )
Subtract ( 4 ) and ( 5 )
( 16x - 6y ) - ( 15x - 6y ) = 24 - 21
16x - 6y - 15x + 6y = 3
Put this in ( 2 )
5 ( 3 ) = 2y + 7
15 = 2y + 7
2y = 15 - 7
2y = 8
y = 8 / 2
Step-by-step explanation:
500=4πr^2. first divide 500 from four which will equal 125, then divide 125 with π and it will equal 39.788 . finally √39.788. the answer will be r=6.3 or 6
Answer:
C. 30-60-90
Step-by-step explanation:
the ratio for a 3-6-9 triangle is x, 2x, x√3
if x=8, then 2x=16, and x√3 =8√3
it's not A because it is a right angle triangle.
it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer
Answer:
Option D is correct
Step-by-step explanation:
Option D is correct
Being an arithmetic sequence there will be common difference between the consecutive terms
Option A is incorrect because it is not necessary that explicit formula is an arithmetic sequence we can create explicit formula for any sequence
Option B is incorrect because recursive formula can be created for any sequence for geometric series also.
Option C is incorrect because the sequence that has constant ratio is the geometric sequence not an arithmetic sequence.
Answer:
Part 1: D
Part 2: 23.2.
Step-by-step explanation:
+
=
+(2
)=(8
)
=64
-4
=60
=
*
*
2*
*x
2x
2(3)
6
(Plug into a calculator.)
23.2