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Igoryamba
3 years ago
10

What equation represents the line that passes through the points(6,-3) and (-4,-9)?

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0
M = - 3 + 9 / 6 + 4
m = 6 / 10
m = 3/5

- 3 = 3/5 ( 6 ) + c
- 15 = 18 + 5c
5c = - 33
c = - 33/5
y = 3/5x - 33/5
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The average rate of change of f from 2 to 3
ella [17]

For a function of f, the average rate of change can be found as follows:


ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}


So, this problem asks for the Average Rate of Change of f from x_{1}=2 to x_{2}=3. In this way, we need to find f(x_{1}) \ and \ f(x_{2}). As you can see above, we have the graph of f(x), so we can find these values. Thus, from the graph:


f(x_{1})=4 \\ f(x_{2})=1


Therefore:


ARC=\frac{1-4}{3-2} \\ \\ \therefore \boxed{ARC=-3}

3 0
2 years ago
The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
yanalaym [24]

Answer: b. 14ft

Step-by-step explanation:

In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.

To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + 7²

256 = L² + 49

L² = 256 - 49 = 207

L = √207

L = 14.38

the closest to the length of this rectangle in feet is

14ft

3 0
3 years ago
Read 2 more answers
Complete the Table
lianna [129]

Answer:

a= 6

b = 7

c = 8

d = 7

e = 6

Step-by-step explanation:

Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6

when the distance covered by the bike is \frac{\pi}{2}, (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet

so b = 7

when the distance covered is \pi, now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8

when the distance covered is \frac{3\pi}{2}, the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7

and finally, when the distance covered is 2\pi. the green dot has completed a full circle and is now again in its lower position (nothing - zero) added to 6 feet =  6ft, giving e = 6.

5 0
3 years ago
Ally works in a shop for $18 per hour dependent
meriva
Independent is hour
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3 0
3 years ago
Ivan and Kate live 40 miles apart. Ivan leaves his house at 8:00 a.m.
Triss [41]

Answer: Time at which the meet = 10:17:24 am

Step-by-step explanation: Speed of Ivan = 12 mph

Speed of Kate = 16 mph

Total distance traveled = Initial separation = 40 miles

Ivan leaves his house at 8:00  a.m and Kate leaves her house at 9:30  a.m

If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,

We have

            Distance = Speed x Time

         Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan

       40 = t x 12 + (t-1.5) x 16

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         28t = 64

             t = 2.29 hours

So after 2.29 hours of Ivan's starting they meet,

Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am

Time at which the meet = 10:17:24 am

6 0
2 years ago
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