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Serhud [2]
3 years ago
11

Find the coordinates of the midpoint of the segment given at its endpoints A(5,8) and B(-1, -4)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

(x_{m},y_{m} )  = (\frac{X_{A} +X_{B} }{2}  ,\frac{Y_{A} + Y_{B} }{2})

(x_{m},y_{m} )  = (\frac{5-1}{2}  ,\frac{8-4 }{2})

(x_{m},y_{m} )  = (\frac{4}{2}  ,\frac{4 }{2})

(x_{m},y_{m} ) = (2, 2)

Answer: (2, 2)

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For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1
Volgvan

We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.

Let us assume t=0 corresponds to year 1980.

Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).

We can to find a linear function passing through these points. Let us first find slope of the linear function:

m=\frac{y_{2}-y_{1} }{t_{2}-t_{1}} =\frac{47-39.7}{9-3} =\frac{7.3}{6} =\frac{73}{60}

We can write the required linear function as:

y-39.7=\frac{73}{60}(t-3)

Upon simplifying  this, we get:

y=\frac{73}{60}t+\frac{721}{20}

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

y=\frac{73}{60}(15)+\frac{721}{20}=54.3

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.

3 0
4 years ago
5,049 +48=105
Alborosie
<h2>Solution (a) :-</h2>

Let the cost of the less expensive comic book be x .

Then :-

1284 - 11x = x

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

1284 - 11x = x

11x + x = 1284

12x = 1284

x =  \frac{1284}{12}

x = 107

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

<h2>Solution (b) :-</h2>

Cost of the more expensive book = 11x

Which means :-

1284 - x = 11x

11x + x = 1284

12x = 1284

x = 107

11x = 11 \times 107

= 1177

Therefore , the price of the more expensive book = $ 1177 .

4 0
3 years ago
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