Answer: 6(6m - 1)
Step-by-step explanation:
6 - 4(3 - 6m) + 12m
= 6 -12 + 24m + 12m
= 36m - 6
= 6(6m - 1)
Given Sarah could rum 800m in 3 minutes and 20 seconds = 3*60+20 = 200 seconds when she was in year 8.
Where as she could run 800m in 2 minutes 44 seconds = 2*60+44=164 seconds.
Percentage improvement in her time = (difference in time/ original time) * 100
Hence there is an improvement of 18% in her time.
She spent $700 on the train ticket and food. She has $140 left
The domain of 3^x is real and greater than zero for all real values of x.
Therefore dom F(x)=2+3^x is all real and greater than zero.
See graph of F(x) attached.
Answer:
The correct answer will be option b
Step-by-step explanation:
We know that x = rcos( θ ), and y = rsin( θ ), so let's rewrite this polar equation.
r = 4( x / r ) + 2( y / r ),
r = 4x / r + 2y / r,
r = 4x + 2y / r,
r / 1 = 4x + 2y / r ( Cross - Multiply )
4x + 2y = r²
We also know that r² = x² + y², so let's substitute.
x² + y² = 4x + 2y,
x² - 4x - 2y + y² = 0,
Circle Equation : ( x - 2 )² + ( y - 1 )² = ( √5 )²,
Solution : ( x - 2 )² + ( y - 1 )² = 5