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statuscvo [17]
2 years ago
12

A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rov

er to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Mathematics
2 answers:
miskamm [114]2 years ago
6 0

Using a system of linear equations, the distance between points A and B is 6000 cm

  • Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>

  • <u>t</u> = d / 4
  • <em>4t = d ______(1)</em>

<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

Learn more : brainly.com/question/14000187

mario62 [17]2 years ago
5 0

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

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You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickles for $7each. Write an expression t
yKpoI14uk [10]
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Find the coordinates of
alexira [117]

Answer:(6,-2)

Step-by-step explanation:

M is the midpoint of AB then ,

M = \frac{A+B}{2}

5=\frac{x+4}{2}     ,     -2=\frac{y-2}{2}

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7 0
3 years ago
Kindly solve these questions for me.
OleMash [197]

The perimeter of the rectangle based on the factors given is 46.

<h3>How to calculate the perimeter?</h3>

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

Learn more about factors on:

brainly.com/question/219464

#SPJ1

4 0
2 years ago
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