MATHEMATICS HIGH SCHOOL

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​

Answers

Answer 1
Answer:

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest
Answer 2
Answer:

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

(5+2√(3) )/(7+4√(3) )

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4√(3) is 7 - 4√(3)

= ((5+2√(3))(7-4√(3)) )/((7+4√(3))(7-4√(3) ) ← expand numerator/ denominator using FOIL

= (35-20√(3)+14√(3)-24 )/(49-28√(3)+28√(3)-48 )

= (11-6√(3) )/(1)

= 11 - 6√(3)

with a = 11 and b = 6

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Answers

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     Shannonhad three times as many quarters as nickels. She had $2.40 in all. How many
quarters did she have? 

Answers

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A number divide by 3 algebraic expression

Answers

An algebraic expression is with numbers. 
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So the expression would be:
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Hope this helps :)

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Answers

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Answers

Answer:

G'(-4, -3)

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Step-by-step explanation:

Coordinates of the original point G on the graph → (-4, 3)

When the point G is reflected over the x-axis,

Rule to be followed fro the reflection,

(x, y) → (x, -y)

By this rule image of the point G will be,

G(-4, 3) → G'(-4, -3)

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In the equation -5x + 25 = -130, which of the following is the coefficient?

Answers

Answer: -5

Explanation: The number in front of your variable is called your coefficient.

A variable is just a letter that represents any number.

So in this problem, the -5 is the coefficient since

it appears in front of the the variable x.
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