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padilas [110]
3 years ago
12

If (6y − 11)(6y + 11) = ay2 − b, what is the value of a? The value of a is ____________. Numerical Answers Expected! Answer for

Blank 1:

Mathematics
2 answers:
Ksju [112]3 years ago
5 0
I hope this helps you

laiz [17]3 years ago
3 0
Multiply
we notice a difference of 2 perfect square
(a-b)(a+b)=a^2-b^2
(6y-11)(6y+11)=(6y)^2-(11)^2=36y^2-121

a=36
b=121
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Step-by-step explanation:

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r = (n∑xy - ∑x∑y)/(sqrt(n∑x^2 - (∑x)^2)*sqrt(n∑y^2 - (∑y)^2)) = (6(34) - 21(15))/(sqrt(6(91) - (21)^2)*sqrt(6(79) - (15)^2)) = (204 - 315)/(sqrt(546 - 441)*sqrt(474 - 225)) = -111/(sqrt(105)*sqrt(249)) = -111/(10.25*15.78) = -111/161.7 = -0.68

3 0
3 years ago
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makvit [3.9K]

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705,000

Step-by-step explanation:

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oksano4ka [1.4K]

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Step-by-step explanation:

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8 0
3 years ago
What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAIN
Pepsi [2]

Answer:

The constant of proportionality is \frac{9}{2}

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

  • If x and y are in directly proportion, then \frac{y}{x}=k , where k is the constant of proportionality.
  • The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

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→ Substitute x by 4 and y by 18

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→ Divide both sides by 4 to find k

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∴ \frac{18}{4}=k

→ Simplify the fraction by dividing up and down by 2

∴ \frac{9}{2}=k

∴ The constant of proportionality is \frac{9}{2}

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