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gulaghasi [49]
3 years ago
10

Add using the number line. ​ −1.2+2.9 ​ Select the location on the number line to plot the point. -2.52.5-2-1.5-1-0.500.511.52.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:  The number gotten from the number line is 1.7,

Kindly find an attached diagram to indicate the number line.

Step-by-step explanation:

DEFINITION: <em>The number line is a straight line with numbers found at equal intervals and it can extend to negative and positive infinity respectively. </em>The number line provides a means of abstraction for Real Numbers and can be used for adding and subtracting.

Kindly find the attached the diagram showing the number line. Refer to the diagram to understand how the answer was derived.

<u>STEP 1:</u> Draw a straight line to denote the number line and attach two arrows at the extremes of the line (looking in opposite directions) to indicate the continuation of numbers extending to infinity and negative infinity respectively.

<u>STEP 2:</u> Find a point to denote as Zero (0) as the midpoint to start the calibration, then take equal intervals of distance to denote number points (as is shown in the drawn attachment).

Denote the intervals -2.5, -2.0, -1.5, -1.0, -0.5, 0, 0.5, 1, 1.5. 2. 2.5. 3.0

<u>STEP 3:</u> Draw small intervals of -0.1 and 0.1 for both the positive and negative sides of the number line.

<u>STEP 4:</u> Now, choose either -1.2 or 2.9,

IF -1.2 is chosen count two -0.1 intervals left of -1.0 and mark a circle indicating -1.2, then count right 29 intervals (denoting 2.9) to find the answer which is 1.7.

IF 2.9 is chosen count four 0.1 intervals right of 2.5 and mark a circle indicating 2.9, then count left 12 intervals (denoting -1.2) to find the answer which is 1.7.

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A car travels the first 50km of its journey at an average speed of 25m/s snd the next 120km at an average speed of 80km/h. The c
Alex17521 [72]

Answer:

84,6km/h

Step-by-step explanation:

the whole journey was

in the first part the car travels 50km, in the second part 120km and in the third part we can find it with a simple rule of three

90km--->60 min

X<--------35min= 52.5 km the car made in the last part

50km+120km+52,5km=222.5km was all the journey

and he made it in:

  • the last part in 35min,
  • in the second part we know that the car was going at 80km/h and that he made 120km so:

80km--->60 min

120km--->90 min

  • in the first part we know that the car was going at 25m/s and he made 50km. 25m/s*1km/1000m*3600s/1h= we obtain the speed in km/h=90km/h

90km---->60min

50km---->x=33,333 min

The whole journey last 33,333min+90min+35min=158.333min

if we express that in hour = 158.333min*1hr/60min=2.63

the car made 222.5km in 2.63 hour

so the average speed was

222.5---->2.63hr

X--------1hr=84,6

the average speed was 84,6km/h

5 0
3 years ago
Question 6<br> Find the slope of the line passing through the points (11,-5) and (11,6)
zimovet [89]

There are two ways to approach this.

Option #1:

Use the slope formula m = \dfrac{y_2-y_1}{x_2-x_1}.

    m= \dfrac{6-(-5)}{11-11} = \dfrac{11}{0}

That value is undefined, so the slope is undefined.

Option #2:

Because the two points have the same x-value, they will be vertically above/below one another.  This means your line is a vertical line and the slope of a vertical line is undefined.

Either way, your slope is undefined.

3 0
2 years ago
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