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11Alexandr11 [23.1K]
3 years ago
7

The product of (a+b)(a-b) is a perfect square trinomial.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

The product of (a+b)(a-b) is always a perfect square.

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22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
dem82 [27]

Answer:

99 24/25

Step-by-step explanation:

8.33*√144=

8.33*12=99 24/25 or 100 with 8.33 bar

8 0
3 years ago
Read 2 more answers
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
3 years ago
Read 2 more answers
The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percen
Lubov Fominskaja [6]
If you increase the number of police officers from 648,000 to 719,000...you have increased the total employment by 719,000 minus 648,000 
= 71,000

You want to see how much the percentage increase was from 2006 to 2016, so you use your 2006 value of police officers to find the percentage increase.

So you divide 71,000 by 648,000 and multiply by 100 
=10.957%

Rounded off to 10.96% which is your final answer
7 0
3 years ago
joshua is going kayaking with a group ruring one of his vacation days. In his vacation planning he budgeted 50 for a kayak renta
zvonat [6]

Answer:

Step-by-step explanation:

Answer: Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

Single Kayak

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

Single Sea Kayak

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours

5 0
3 years ago
Please answer this question fast!
Tema [17]

Answer:

A) 48

B) 3 seconds

Step-by-step explanation:

A) -16+40+24 = 48

B) -16t² + 40t + 24 = 0

2t² - 5t - 3 = 0 (÷ by -8)

2t² - 6t + t - 3 = 0

2t(t -3) + 1(t - 3) = 0

(t - 3)(2t + 1) = 0

t = 3, t = -½

6 0
3 years ago
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