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Marianna [84]
3 years ago
6

The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h

more than the car. determine the average speeds of the cyclist and the car.
Mathematics
1 answer:
Bumek [7]3 years ago
6 0
Average speed of cyclist = x
average speed of car = 3x

x = 225/5
x = 45km/h

3x = 3(45)
3x = 135km/h

average speed of cyclist = 45km/h
average speed of car = 135km/h
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The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

The given coordinates are X(6,1) Y(-2,-3) Z(0,3).

<h3>What are coordinates?</h3>

A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.

We know that, Distance formula =\sqrt{(x_{2}-x_{1}  )^{2}+(y_{2}-y_{1}  )^{2}  }

Now, XY=\sqrt{(-2-6)^{2}+(-3-1)^{2}  }=\sqrt{80} units

YZ=\sqrt{(0+2)^{2}+(3+3)^{2}  }=\sqrt{40} units

XZ=\sqrt{(0-6)^{2}+(3-1)^{2}  }=\sqrt{40} units

Here, YZ=XZ

Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.

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brainly.com/question/20393391

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3 0
1 year ago
On two investments totaling $9,500, Peter lost 3% on one and earned 7% on the other. If his net annual receipts were $169, how m
Elanso [62]

Answer:

23$ was each investment

Step-by-step explanation:

\sqrt{x} x^{2} +3

4 0
2 years ago
I have 20 lemons. I cut each of them into halves and then cut THOSE halves into some more halves. How many HALVES do I have in a
katen-ka-za [31]

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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8_murik_8 [283]

Answer:

y = -8/3x + 8

Step-by-step explanation:

y = -8/3(x - 3)

Distributing the -8/3 you get:

y = -8/3x + 8

(The -3 in (x - 3) cancels out the 3 in -8/3, therefore it creates 8 with the negative multiplying by a negative.)

7 0
3 years ago
Solve the inequality 4/3 &lt; -8/3y
natima [27]

Answer:

y < -1/2

Step-by-step explanation:

Step  1  :

           8

Simplify   —

           3

Equation at the end of step  1  :

 4           8

 — -  (0 -  (— • y))  < 0

 3           3

Step  2  :

           4

Simplify   —

           3

Equation at the end of step  2  :

 4    -8y

 — -  ———  < 0

 3     3

Step  3  :

Adding fractions which have a common denominator :

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 - (-8y)     8y + 4

—————————  =  ——————

    3           3  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  8y + 4  =   4 • (2y + 1)

Equation at the end of step  4  :

 4 • (2y + 1)

 ————————————  < 0

      3      

Step  5  :

5.1    Multiply both sides by  3

5.2    Divide both sides by  4

5.3    Divide both sides by  2  

     y+(1/2)  < 0

Solve Basic Inequality :

5.4      Subtract  1/2  from both sides

           y < -1/2

Inequality Plot :

5.5      Inequality plot for

        2.667 X  + 1.333  <  0

 

One solution was found :

                  y < -1/2

Processing ends successfully

plz mark me as brainliest if this helped :)

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3 years ago
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