Step-by-step explanation:
parallel lines have the same gradient..
y=x+7 has a gradient of 1.
If line J which is parallel to k has a gradient of 1 then they are the same.
gradient (m) =<u>∆</u><u>y</u>
∆x
=<u>y- </u><u>-</u><u>1</u><u> </u> = 1
x - - 3
= <u>y </u><u>+</u><u> </u><u>1</u>
x+3
y+1=x+3
y=x +3 +1
y = x + 4(equation for k)
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
Answer:
radius = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 2)² + (y + 3)² = 1 ← is in standard form
with r² = 1 ( take the square root of both sides )
r = 
= 1
