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drek231 [11]
2 years ago
7

Find the midpoint of the line segment joining the points P1 and P2. P1 = (x, 8); P2 = (0, 9)

Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

(x/2 , 17/2)

Step-by-step explanation:

To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.

The x's are x for P1 and 0 for P2.

x+0 / 2

=x/2

This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.

8+9 / 2

= 17/2

This will be the y-coordinate of the midpoint.

The midpoint is:

(x/2 , 17/2)

You could also divide 17/2 and get 8.5 then the midpoint would be:

(x/2 , 8.5)

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400g of rapberries and 300g of strawberries cost £7.46. 500g of strawberries cost £4.10 work out the cost of 300g of raspberries
MAXImum [283]

Answer: £5.39

Step-by-step explanation:

500g strawberries = 4.10

100 g = 0.82

300g = 2.46

400g raspberries = 7.46 - 2.46 = 5.00

100g = 1.25

300g = 3.75

200g strawberries = 0.82 * 2 = 1.64

3.75 + 1.64 = 5.39

8 0
3 years ago
Let f(x) = 3x+5 and g(x) = x^2. Find g(x)/f(x) and state its domain
lianna [129]

Answer:

1/x-2; domain is the set of all real numbers except 2

Step-by-step explanation:

7 0
3 years ago
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1/3(22) - 1 -1\2(12)​
irinina [24]
The answer is (1/3)...
6 0
4 years ago
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Firdavs [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

5 0
3 years ago
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