If (8z − 9)(8z + 9) = az2 − b, what is the value of a? (5 points)

1 answer:

3 0

The question is looking for the coefficient to the first term after multiplying the two sets of parentheses together.

=(8z − 9)(8z + 9)
using the FOIL method, multiply the first, outside, inside, then last terms

=(8z*8z) + (8z*9) + (-9*8z) + (-9*9)
=64z^2 + 72z - 72z - 81
the middle two terms cancel each other (72-72= 0)
=64z^2 - 81

ANSWER: The value of a is 64

Hope this helps! :)

You might be interested in

in Yoshi's garden three quarters of the flowers are tulips of the tulips 2/3 of them are yellow what fraction of the flowers in

PtichkaEL [24]

So 3/4 of flowers are tulips
2/3 of tulips are yellow
what fraction are yellowtulips
2/3 of 3/4 are yellow tulips
'of' means mutily
2/3 times 3/4=(2 times 3)/(3 times 4)=6/12=1/2

answer is 1/2

4 0

2 years ago

Sega makes brownies using a square pan that has a side

Black_prince [1.1K]

Answer:

(x+6)*(x+6)

Step-by-step explanation:

8 0

3 years ago

Mason and Nora decided to swim across the river. Mason began swimming 7.7 seconds earlier than Nora. Mason swam at a speed of 5

user100 [1]

Let d be distance travelled when they are level , and t = time that nora took to get level with mason for Nora 6 = d/t d = 6t for Mason 5 = d / (t + 35) d = 5 ( t + 350 so 6t = 5(t + 35) solve for t

7 0

3 years ago

Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$