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Elan Coil [88]
4 years ago
5

Which values for b make the polynomial 16z2 + bz + 81 a perfect square trinomial?

Mathematics
1 answer:
PtichkaEL [24]4 years ago
7 0
As (a+b)^2 = a^2 + 2*a*b +b^2 .......(i)

here we have 
16z^2 + bz + 81 which can be written as (4z)^2 +  bz +9^2

from (i) we can see that in order to be perfect square bz should be
bz = 2* (4z) * (9)
bz= 72z

dividing z on both sides we get
b=72
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Answer:

Correct answer is <em>"reflection, then rotation".</em>

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. (1 \to 2)

2) Rotation with center at the upper left corner of the reflected figure. (2 \to 3)

Therefore, correct answer is <em>"reflection, then rotation".</em>

7 0
3 years ago
You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At F
julia-pushkina [17]

Answer:

B. Food market

Step-by-step explanation:

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?

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3 years ago
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KatRina [158]
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3 years ago
What is the answer to 36÷9 using a number line?
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To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.

I do the jumps by steps, but you can draw in the number line:

0. First jump from 0 to 9.

,

1. Second jump from 9 to 9+9=18.

,

2. Third jump from 18 to 18+9=27.

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3. Fourth jump from 27 to 27+9=36.

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4. Great!! We already reach 36.

So, we need four jumps of 9 to reach 36 from 0.

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2 years ago
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