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Y_Kistochka [10]
3 years ago
5

The expression a(bx + 5) - 2(bx +a) simplifies to 6x + 12 find the value of a and b

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

a = 4, b = 3

Step-by-step explanation:

Expand and simplify the given expression then compare coefficients of like terms.

a(bx + 5) - 2(bx + a)

= abx + 5a - 2bx - 2a

= (ab - 2b)x + 3a

Given that this expression is equal to 6x + 12

Comparing coefficients of like terms.

3a = 12 ( divide both sides by 3 )

a = 4

ab - 2b = 6 , that is

4b - 2b = 6

2b = 6 ( divide both sides by 2 )

b = 3

Thus a = 4 and b = 3

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Answer:

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Step-by-step explanation:

GIVEN: The area of a triangular flag is 132 \text{ cm}^2. Its altitude is 2\text{ cm} longer than twice its base.

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SOLUTION:

Let the altitude and the base of flag be a and b

According to the question

a=2+2b

area of triangle =\frac{1}{2}\times base \times alltitude=\frac{1}{2}a\times b

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Two students agree to meet at a restaurant between 6pm and 7pm.  Suppose they each agree to wait 15 minutes or until 7pm (whiche
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Answer:

7/16

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Step by step explanation:

For the 1st student to arrive before 2nd student,

* the probability that he(1st student)to arrive during 3/4 hrs = 3/4

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*The probability that he(1st student) arrive during the last 1/4 hrs = 1/4

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ANSWER = 0.4375

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