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3 years ago

The product of (a + b)(a − b) is a perfect square trinomial. A. Sometimes b. Always c. Never

Mathematics

1 answer:

Gnoma [55]3 years ago

8 0

Never
perfect squre trinomial is in form
(a+b)(a+b) or (a-b)(a-b)
that is not equal to (a+b)(a-b)

never

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Use this system of linear equations to solve for x. 3x+5y=6 and 2x+y=4

Oduvanchick [21]

Answer:

x=2

HPT 3x+5y=6 (1) và 2x+y=4 (2)

Nhân phương trình (2) với 5 để hệ số y của 2 phương trình bằng nhau. Ta có:

(2)⇔ 10x+5y=20(3)

Trừ (3) cho (1), có: 7x+0y=14⇒x=2

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2 years ago

Read 2 more answers

Put these in order starting with the smallest:

AleksandrR [38]

Answer:

1 to the power of 8= 8

2 to the power of 4 =16

5 squared =25

3 to the power of 3 =27

Step-by-step explanation:

2 to the power of 4 =16

3 to the power of 3 =27

1 to the power of 8= 8

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2 years ago

In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

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2 years ago

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

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2 years ago

Could someone pls answer

cricket20 [7]

The answer should be 10

4 0

8 months ago