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Lesechka [4]
3 years ago
11

What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio

of 6 to 5?​
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

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A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a
BigorU [14]

Answer:

R'(20) = 2000

Step-by-step explanation:

We are given the following in the question:

Quantity, q

Selling price in dollars per yard, p

q=f(p)

Total revenue earned =

R(p)=pf(p)

f(20)=13000

This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

f′(20)=−550

This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)

Putting the values, we get,

R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000

7 0
3 years ago
Can some one tell me the answer
Ostrovityanka [42]

Answer:

x = 13°

Step-by-step explanation:

The total must be 180°.

105° + 62° = 167°

180° - 167°

13°

6 0
3 years ago
Read 2 more answers
What is the period for tangent functions? (Answer in radians)
prisoha [69]

Answer: 2 radians

Step-by-step explanation: You welcome

3 0
2 years ago
Solve for x. 3(x + 2) + 4(x - 5) = 10 x = 36/7 x = 24/7 x = 16/7 x = 9/7
IRISSAK [1]

3(x + 2) + 4(x - 5) = 10

Use the distributive property:

3x + 6 + 4x - 20 = 10

Combine like terms:

7x -14 = 10

Add 14 to both sides:

7x = 24

Divide both sides by 7:

x = 24/7

5 0
3 years ago
3/8x - 1 = 5/8 solve for x​
Blababa [14]

Answer: x = 13/3 or  x = 4.33333....

Solution: ⅜x -1 +1 = ⅝ + 1      

Simplify: ⅜x = 13/8

Multiply both sides by eight:  8 x ⅜x =  133 x 8 divided by 8

Simplify:  3x = 13

Divide both sides by three: 3x/3 = 13/3

Simplify:  x = 13/3

6 0
3 years ago
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