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kap26 [50]
2 years ago
6

A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (8, 19) and then maneuvers

through the job site along the vectors angleleft−4, 0angleright, angleleft2, 8angleright, angleleft8, 10angleright to get to the spot to unload the dirt. Find the coordinates of the unloading point. Find a single vector from the loading point to the unloading point.
Mathematics
1 answer:
zmey [24]2 years ago
4 0

He picks up some excess dirt at  (8, 19) and then maneuvers through the job site along the vectors (-4,0) ,(2,8) ,(8,10) to get to the spot to unload the dirt.

The starting point is  (8, 19)

He move along the vector (-4,0) lands at

(8-4, 19+0) = (4, 19)

Then he starts at (4,19) and move along the vector (2,8) lands at

(4+2, 19+8) = (6, 27).

Then he starts at (6,27) and move along the vector (8,10) lands at

(6+8, 27+10) = (14, 37).

The unloading point is (14, 37).  

A single vector from the loading point to the unloading point is

(14, 37) - (8, 19)  = (6, 18)

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During his last 5 jobs, an electrician used the following amounts of cable:
ella [17]

The total amount of cable used is 47.4m

<u>Explanation:</u>

Given:

Amounts of cable used that has to be rounded off to 1 decimal place:

12.995 m  ≈ 13.0 m

7.505 m  ≈ 7.5m

10.08 m  ≈ 10.1 m

6.95 m  ≈ 7.0 m

9.75 m ≈ 9.8 m

Total amount of cable used = 13m + 7.5m + 10.1m + 7m + 9.8m

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7 0
2 years ago
The town of Worman Grove collected 9,645 blue pens and 18, 836 black pens for a school supplies drive. Their goal is to have 30,
Sonbull [250]

Answer:

1519 pens

Step-by-step explanation:

add 9,645 to 18,836 and then subtract that number from 30,000

6 0
2 years ago
What is the equation of a line in slope intercept form that contains the points (-4,3) and (2,-6)
Nataly_w [17]

Answer:

y = (-3/2)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):

m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2

So, we can update our equation:

y = (-3/2)x + b

The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:

3 = (-3/2) * (-4) + b

3 = 6 + b

b = -3

So, our y-intercept is -3.

Our slope-intercept form is thus:

y = (-3/2)x - 3

<em>~ an aesthetics lover</em>

7 0
2 years ago
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2 years ago
Mr. Rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4 1/2 hours. If Mr. Rodr
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