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2 years ago

Point M MM is located at ( − 4 , − 6 )

1 answer:

6 0

The point in rectangular form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin. A representation is shown below.

<h3>How to located a point in a Cartesian plane</h3>

By Euclidean geometry we know that a plane is generated by two non-co-linear lines. Cartesian planes are generated by two orthogonal lines (axes x, y), whose interception is known as origin. The point in rectangular form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin.

Finally, we proceed to present the location of the given point with the help of a graphing resource.

To learn more on Cartesian planes: brainly.com/question/13266753

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What is equivalent to 8/9 the denominator is 72

zvonat [6]

Answer:

64/72

Step-by-step explanation:

4 0

2 years ago

If you bike for 60 kilometers at 30 kilometers per hour and return at 20 kilometers per hour, what is the average speed for the

matrenka [14]

V1=30km/hr
v2=20km/hr
v=2v1v2/(v1+v2)
=2*30*20/(30+20)
=24km/hr

8 0

3 years ago

When measuring the length a and the width b of a rectangle, it was found that 5.4< a< 5.5 and 3.6< b< 3.7 (in centim

leva [86]

Answer:

The possible values of the perimeter of the rectangle is between 18 and

18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the length of its

four sides

- The rectangle is a quadrilateral with each two opposite sides are

equal in lengths, then its perimeter = 2l + 2w, where l, w are its

length and width

∵ The the length of the rectangle is a

∵ 5.4 < a < 5.5 cm

∵ The perimeter of the rectangle = 2a + 2b

- Lets multiply the inequality by 2

∴ 5.4 × 2 < a × 2 < 5.5 × 2

∴ 10.8 < 2a < 11 ⇒ (1)

∵ The width of the rectangle is b

∵ 3.6 < b < 3.7 cm

- Lets multiply the inequality by 2

∴ 3.6 × 2 < b × 2 < 3.7 × 2

∴ 7.2 < 2b < 7.4 ⇒ (2)

- Add inequalities (1) and (2)

∵ 10.8 < 2a < 11

+ 7.2 < 2b < 7.4

∴ 18 < 2a + 2b < 18.4

∵ 2a + 2b represents the perimeter of the rectangle

∴ The possible values of the perimeter of the rectangle is between

18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

7 0

3 years ago

There are 96 children in a room.

Olenka [21]

Answer:

7/12

Step-by-step explanation:

Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.

5 0

2 years ago

THEIR AGES

snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0

3 years ago