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Mamont248 [21]
3 years ago
5

When determining if you have a perfect square trinomial, what must the first and third term be?

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

The expansion of a perfect square is

(a+b)^2 = a^2+2ab+b^2

In words, the square of a sum of two terms is the sum of the squares of the two terms (a^2 and b^2), plus twice the product of the two terms (2ab)

So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.

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What is the measure of angle 1?
Wittaler [7]

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5 0
2 years ago
Help me please it would be appreciated
allochka39001 [22]
Since it is the midpoint we can say:
12x  - 1 = 8x +11
All we have do to is get all the x's alone on one side

12x - 1 = 8x + 11
12x = 8x + 12    (add both sides by 1)
4x = 12   (subtract both sides by 8x)
x = 3       (divide both sides to get what x is)
8 0
3 years ago
1. Kayla wants to find the width, AB, of a river. She walks along the edge of the river 100 ft and marks point C. Then she walks
Zolol [24]
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6 0
3 years ago
Solve the inequality, enter it in interval notation , 6x+3<8(8x+6)+3
garik1379 [7]

Answer:

The answer to your question is:    ( - 24 / 29, ∞ )

Step-by-step explanation:

                                             6x + 3 < 8 (8x + 6) + 3

                                             6x + 3 < 64x + 48 + 3

                                             6x + 3 < 64x + 51

                                             6x - 64x < 51 - 3

                                            - 58 x < 48

                                            x > - 48 / 58

                                            x > - 24 / 29

                                          ( - 24 / 29, ∞ )

5 0
3 years ago
A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
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