A line plot with Kelly's lengths of ribbons is shown. She adds another ribbon so that the difference between the longest ribbon and shortest ribbon is 1 1/8 inches.

Question 64 please hel!!

14"  + 3/4" (but already there are two ribbons with that lenght, so probably the is answer is not adding no one more)

Step-by-step explanation:

If we call:

U : the longest ribbon (wich we don't know)

L : the lowest ribbon (wich one could be know, see the plot)

The condition is:

U - L = 1"+1/8" ----> U = L + 1" + 1/8" ---(A)

Calculating L:

Between 14 and 15 there are 8 spaces, then if we call to the long of that tiny space 'p', then:

8*p = 15"- 14" ---> p = (15"-14")/8 ---> p = 1"/8

In the plot, we see what 'L' is three spaces under 14", then:

L= 14" - 3*p = 14" - 3*(1"/8) = 14" - 3/8"

Replacing this result in the (A) expresion:

U = (14" - 3/8") + 1" + 1/8" = 14"+1" -3/8" + 1/8" = 14" + 6/8" = 14" + 1/4"

Then: U = 14" + 3/4"

-4

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b