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GuDViN [60]
3 years ago
11

Which of the equations are true identities? \begin{aligned} \text{A. }&(y+6)(y-7)+42=y^2-y \\\\ \text{B. }&(x+3)(x-8)=x^

2-5x \end{aligned} A. B. ​ (y+6)(y−7)+42=y 2 −y (x+3)(x−8)=x 2 −5x ​
Mathematics
2 answers:
BaLLatris [955]3 years ago
8 0

Answer:

its only A

Step-by-step explanation:

got it from khan academy

musickatia [10]3 years ago
5 0

Answer:

Only A, the first equation is true.

Step-by-step explanation:

A. (y + 6)(y – 7) + 42 = y² + 6y –7y – 42 + 42 = y² – y. This means A is true

B. (x + 3)(X – 8) = x² + 3x – 8x – 24 = x² – 5x – 24. This means B is false.

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What is the base 8 representation of the number 11100111
katovenus [111]

If the given number is in base 2, that means

11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1

8 = 2³, and so we have

11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1

11100111₂ = 3 • 8² + 4 • 8 + 7

11100111₂ = 347₈

Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:

11 100 111

11₂ = 2 + 1 = 3

100₂ = 2² = 4

111₂ = 2² + 2 + 1 = 7

so again we get 347₈.

6 0
3 years ago
The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound. Write an equatio
charle [14.2K]

Answer:The  equation relating I, r, and k is I =K/r²

Step-by-step explanation:

The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as

I ∝ 1/r²

Introducing the constant of proportionality, K we have that

I =K x 1/r²

Therefore , the  equation relating I, r, and k is I =K/r²

7 0
3 years ago
Three consecutive integers have a sum of 45
monitta

Three consecutive integers that have a sum of 45 are 14, 15 and 16. 14+15+16=45

4 0
3 years ago
Read 2 more answers
2y⁴-18x²y²-48xy²-32y²<br><br>​
Goryan [66]

Answer:

mk

Step-by-step explanation:

6 0
2 years ago
I dont understand it (7×5)+(6×4)
Levart [38]

59

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

3 0
3 years ago
Read 2 more answers
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