Which equation describes the line that contains (1,5) and has a slope of 2?
1 answer:
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1) / sin x / = y ≥ 0 ;
We solve the equation
a = 1 ; b = 1 ; c = - 2 ;
y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 } U { 270 } ;
x ∈ {90 , 270}.
We solve the equation
a = 1 ; b = 1 ; c = - 2 ;
y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 } U { 270 } ;
x ∈ {90 , 270}.
Answer:
1) .
2)
hence, answer is 7/12.
3) We have to divide £72 in the ratio 2:3:1
the total of the ratio is=2+3+1=6
so on dividing 72 into 6 parts we have 72/6=12
First '2' parts=2×12=24
second '3' part=3×12=36
last '1' part=1×12=12
so dividing £72 in the ratio 2:3:1 is: £24,£36 and £12
4) 39 people out of 65 have blonde hair.
Number of people who do not have blonde hair=65-39=26
percentage people who do not have blonde hair is given by:
Hence, percentage people who do not have blonde hair is 40%
5) 20% of 90= (20/100)×90
=18
Hence, 20% of 90 is 18.
6) Factorise
7) Expand
8)
.
9)
10)
11) x= -4 y=3
and z=4 x-y^3
z=4×(-4)-3^3
z= -43
12)
13)
Hence x= -2
14) 5,10,15,20,....
Hence, nth term is 5n.
15) (63×128)/32.9=245.106.
16) 938×21=19698.