Answer:
(i) and (ii)
Step-by-step explanation:
For a sequence to be geometric then the ratio r between consecutive terms must be common.
(1)
2, 6, 18, 54
6 ÷ 2 = 3
18 ÷ 6 = 3
54 ÷ 18 = 3
Here there is a common ratio r = 3 , then sequence is geometric
(ii)
25, 5, 1
= 
and 
=
There is a common ratio r = , then sequence is geometric
(iii)
1, 4, 9, 16
4 ÷ 1 = 4
9 ÷ 4 = 2.25
16 ÷ 9 = 1.777..
There is no common ratio, then sequence is not geometric
Answer:
Use the slope formula to find the slope
m
.
m
=
−
3
The third choice, 4x²+18x+0.25=0, is correct.
The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.
The area is found by multiplying the total width and total length:
A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)
Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²
We know that the area is 19.75:
19.75=20+18x+4x²
We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²
In standard form, it will be:
4x²+18x+0.25=0
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
A meter is 100 cm, so 4 m = 400 cm.
1 cm : 4 m = 1 cm : 400 cm = 1 : 400
