Adilation with a scale factor of 15 and centered at the origin is applied to mn¯¯¯¯¯¯¯ with endpoints m(−2, −4) and n(1, 5) . drag and drop to match the correct coordinates with the point.

(-2/5, -4/5); (1/5, 1)

Step-by-step explanation:

We multiply the x- and y-coordinates of both points by the scale factor, 1/5:

M' = (-2(1/5), -4(1/5)) = (-2/5, -4/5)

N' = (1(1/5), 5(1/5)) = (1/5, 5/5) = (1/5, 1)

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet