During a tunnel construction project, engineers used explosives to excavate partway into a mountain. because of time constraints and environmental concerns, they later used a tunnel boring machine (tbm) to excavate the rest of the tunnel. the table shows the length of the completed tunnel, y, after different numbers of days, x, since the tbm started working. number of days length of tunnel (feet) 0 225 5 350 20 725 30 975 55 1,600 the length of the completed tunnel can be calculated using what equation . if the project will be completed 86 days after the tbm was introduced, the length of the completed tunnel will be feet.

The given values lie on a line with slope

... m = (975 -725)/(30 -20) = 250/10 = 25

The initial value shown gives the y-intercept, so the length can be calculated using the equation

... y = 25x +225

The length after 86 days will be

... y = 25·86 +225 = 2375 . . . feet

step-by-step explanation:

cats

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .