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3 years ago

the point (4,5) is translated two units left and eight units down. what is the y-coordinate of the image?

Mathematics

2 answers:

VashaNatasha [74]3 years ago

6 0

The new coords are (2,-3) the new y coord is -3

Nataly_w [17]3 years ago

6 0

Answer:

$(2,-3)$

Step-by-step explanation:

Point of the form $\left ( x,y \right )$ means it is at a distance of x units from x - axis and y units from y - axis .If this point is translated a units left and b units down then new point becomes $\left ( x-a,y-b \right )$

If this point is translated a units left and b units up then point becomes $\left ( x-a,y+b \right )$

If this point is translated a units right and b units down then point becomes $(x+a,y-b)$

If this point is translated a units right and b units up then point becomes $(x+a,y+b)$

Given Point: $\left ( 4,5 \right )$

If this point is translated 2 units left and 8 units down then this point becomes $(4-2,5-8) = (2,-3)$

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morpeh [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Please give me an approximation of how long it would take to evacuate a population of 91,000 to a destination 21 miles away, usi

RoseWind [281]

Answer:

The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours

Step-by-step explanation:

Population = 91,000 ppl

Speed limit = 60 mph

Distance = 21 miles.

1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:

T = D/V

D= 21 miles

V = 60 mph:

So;

T = 21 miles / 60mph

T= 0,35 h

2. Asumming that we are going to use an amount of 100 vehicles with 50-seats in each trip for evacuating people, it means that we could evacuate

500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>

To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate

T= 91,000/ 1,429 = 63,68 hours

6 0

3 years ago

Please help with the questions in the image

polet [3.4K]

Answer:

(a) C(d) = 270 + 0.20d
(b) C(1800) = 630
(c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
(d) It represents the fixed cost (amount she pays even if she does not drive)
(e) the cost increases as the number of miles driven increases

Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)