If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?

The value of a is _____________.

Answers

Answer 1

Answer: (9x - 4) (9x + 4)
9x (9x + 4 ) -4 (9x + 4)
81x^2 + 36x - 36x - 16
81x^2 - 16

ax2 - b

therefore the value of a is equal to 81

Answer 2

Answer:

Answer:

value of a is, 81

Step-by-step explanation:

Using the identity rule:

$(a+b)(a-b)=a^2-b^2$

Given the equation:

$(9x-4)(9x+4)=ax^2-b$

Apply the identity rule:

$(9x)^2-(4)^2=ax^2-b$

⇒ $81x^2-16=ax^2-b$

On comparing both sides we have;

$a = 81$ and b = 16

Therefore, the value of a is, 81

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Show your calculation below:In the diagram of AABC below, DE is parallel to AB, CD = 15,
AD = 9, and AB = 40.
The length of DE is
(1) 15
(2) 24
(3) 25
(4) 30
So your answer is
What is the relation between ACDE and ACAB?
What information in the question helps you get that
conclusion?

Answers

Answer:

DE=25

Angles CDE & CAB are equal since they are alternate angles.

Step-by-step explanation:

Triangle CDE is an reduction of triangle CAB.

Reduction Ratio= $(15)/(24)\nlength \ DE=(15)/(24)*40\n=40$

Angles CDE,CAB relationship- the two angles fall on opposite relative sides of two parallel lines are therefore equal.

What is 1/8 times 3/4

Answers

Hi there

1/8 * 3/4

Remember: When you are multiply two fractions together all you have to do is multiply the numerator by the denominator.

Answer : 3/32

I hope that's help !

the suntracker grows at a rate of 2.5 CM per day after the first 60 days.If this sunflower is 195 cm tall when it is 60 days old witer a expression to represent suntrackers height after 22 days or when it is 82 days old exspain how you found your answer, other sunflower is 235 cm

Answers

Given:
height at 60 days old - 195cm
height after 60 days old - 2.5cm per day

total height = 195 cm + 2.5cm(x - 60)
x = day measured

22 days old

total height = 195cm + 2.5cm(22-60)
t.h = 195cm + 2.5cm(-38)
t.h = 195cm - 95cm
t.h = 100 cm

82 days old

total height = 195cm + 2.5cm(x-60)
t.h = 195cm + 2.5cm(82-60)
t.h = 195cm + 2.5cm(22)
t.h = 195cm + 55cm
t.h = 250cm

Which fraction is equivalent to 7/15?
A. 14/28
B. 14/17
C. 21/45
D. 21/35

Answers

C. 21/45

If you multiply both the 7 and 15 by 3, you get 21 and 45.

$(7)/(15) × (3)/(3) = (21)/(45)$

THe answer is C since you multiply the numerator and denominator by 3

How does changing the scale change the distance represented?

Answers

The correct answer is:

It does not.

Explanation:

The scale of a graph just tells us how many units are between numbers. This does not change the overall distance represented.

For example, I can have two graphs on which the x-axis goes to 60. On one graph, I can count by 10s for my scale, while the other graph uses 5s. While the scales are different, the same distance is represented.

It does not. The fact that the scale may change, however, the distance between two object does not change at all. For an example, the distance between cities may stay the same while changing the scale. Therefore, it is a fact that the changing of the scale does not change the distance at all.

Find the missing length.С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3

Don’t mind the broken laptop