Could you check this two? And I need an answer for one so help would be appreciated:”) finding the slope

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

m=7/2

Step-by-step explanation:

To find the slope for these problems you can count the number of boxes between the two dots. The number on the Y axis is the value that will go in the numerator and the value on the X axis is the value that will go in the denominator.

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What are the slope (m) and y-intercept (b) of the given line? *

konstantin123 [22]

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3 years ago

The speed of a motorcycle increases from 10km/hr to 50km/hr in 9 seconds. What is its acceleration?

ivanzaharov [21]

Acceleration of motorcycle= 1.23m/s^2

Step-by-step explanation:

We need to find the acceleration of motorcycle When its speed increases from 10km/hr to 50km/hr in 9 seconds

Given:

Initial speed= 10km/hr

Final speed= 50km/hr

Time = 9 seconds

Acceleration = ?

Formula: $Acceleration =\frac{Change\,\,in\,\,velocity}{time}$

Solution:

We will first convert the speed from km/hr to m/s

Converting Initial speed 10km/hr into m/s

1 km = 1000 m

10 km = 10,000 m

and 1 hr = 3600 s

So, Initial speed = 10,000/3600 = 2.77 m/s

Converting Final speed 50km/hr into m/s

1 km = 1000 m

50 km = 50,000 m

and 1 hr = 3600 s

So, Initial speed = 50,000/3600 = 13.88 m/s

Now Using formula of acceleration:

$Acceleration =\frac{Change\,\,in\,\,velocity}{time}\\Change\,\,in\,\,velocity =Final\,\,speed-Initial\,\,speed\\Change\,\,in\,\,velocity=13.88 - 2.77\\Change\,\,in\,\,velocity = 11.11 m/s\\Acceleration =\frac{11.11}{9}\\Acceleration =1.23 m/s^2$