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Dimas [21]
3 years ago
10

A bicycle is drawn on grid such that th front tire is represented by the equation (x-16)^2 + y^2=9 . what is the tires diameter

?
Mathematics
1 answer:
inysia [295]3 years ago
3 0
\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the center}\\\text{r the radius}\\\\\text{we have}\\\\(x-16)^2+y^2=9\\\\r^2=9\to r=\sqrt9\to r=3
\text{The diameter d is equal 2r. Therefore}\\\\d=2\cdot3=6


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Find the sum of the arithmetic sequence.<br><br> -4, -1, 2, 5, 8, 11, 14
notsponge [240]

Answer:

  35

Step-by-step explanation:

Since the sequence is so short, you can simply add the terms. It is convenient to do them pairwise, working inward from the first+last:

  (-4+14) +(-1+11) +(2+8) +5

  = 10 +10 +10 +5

  = 35

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Or, you can find the average term as the average of the first and last terms:

  average term = (-4+14)/2 = 5

Then the sum is the product of this and the number of terms:

  sum = (number of terms)×(average term) = 7 × 5 = 35

3 0
4 years ago
Read 2 more answers
which is the independent variable? the amount of cups of rice, x, or the amount of cups of water, y? please help!
Alja [10]
The independent variable belongs on the x-axis, so I’m assuming the cups of rice because the variable you show assigned to them is x
8 0
3 years ago
Are these answers right Or wrong
uysha [10]
They are right except for 12. i think it is C but i could be wrong.
8 0
4 years ago
How To work this out ?
MrMuchimi
(a) Using the completing the square method, we need to write  into the form of  where , so
Expand to find the value of c
Notice that we get back the first two terms, the  and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence, 
(b)          
(c) , square root both sides      plus and minus of 2     Hence           
 
6 0
3 years ago
11.
Mrrafil [7]

Answer:

2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have to distribute 2, then:

Now we have to sum (-2y) in both sides of the equation:

Finally we have to divide both sides of the equation in 2:

Then the answer is 2 should be distributed as 2y + 16; y = 8

Hope this helps.

8 0
4 years ago
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