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3 years ago

If the lines px = 12 and 2x + qy = 10 intersects at (1 , 1), what is the value of p + q?

Mathematics

1 answer:

shusha [124]3 years ago

5 0

Answer:

p + q = 20

Step-by-step explanation:

Given the lines intersect at (1, 1 ) then x = 1 and y = 1 make the equations true.

Consider

px = 12 with x = 1

p = 12

Consider

2x + qy with x = 1 and y = 1

2 + q = 10 ( subtract 2 from both sides )

q = 8

Hence p + q = 12 + 8 = 20

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Andrej [43]

Answer:

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Step-by-step explanation:

y=1.65x+2.35 insert the unknown x

y=1.65(14)+2.35 open brackets by multiplication

y=23.1+2.35

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3 years ago

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Feliz [49]

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3 years ago

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3 years ago

Read 2 more answers

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

1 +90/(60 -C) = 4.225

C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

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2 years ago

John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,

kumpel [21]

Answer:

Hello your question is poorly written attached below is the complete question

answer : attached below

Step-by-step explanation:

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2 years ago