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katovenus [111]
3 years ago
14

Which expressions are equivalent to (2^2-9) (x + 3)?

Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

Step-by-step explanation:

Given

(x^2-9)(x+3)

Required

Select 3 equivalent expressions

(x^2-9)(x+3)

Express 9 as 3^2

(x^2-3^2)(x+3) --- This is one equivalent expression

Take x^2 - 3^2 as difference of two squares

(x-3)(x+3)(x+3) -- This is another equivalent expression:

Solving further:

(x-3)(x+3)(x+3) becomes

(x-3)(x+3)^2   -- This is another equivalent expression:

Hence, the equivalent expressions are:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

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The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c
scoray [572]

The Solution.

Representing the problem in a diagram, we have

By formula,

P=2(L+W)

In this case,

P=15\operatorname{cm},L=?,W=\frac{22}{8}cm

Substituting these values in the formula above, we get

15=2(L+\frac{22}{8})

Clearing the bracket, we get

15=2L+(2\times\frac{22}{8})\begin{gathered} 15=2L+\frac{11}{2} \\  \\ 15=2L+5.5 \end{gathered}\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}

Dividing both sides by 2, we get

L=\frac{9.5}{2}=4.75\approx4.8\operatorname{cm}

Therefore, the correct answer is option C.

6 0
1 year ago
PLEASE HELP!!
ruslelena [56]

Answer: 104 miles

Step-by-step explanation:

If 2.5 in = 52 mi, and 2.5 × 2 = 5, then 2.5(2) = 52(2)

5 in = 104 mi

3 0
3 years ago
Which value is the reciprocal of −238?
ch4aika [34]
The answer is -1/238
5 0
3 years ago
An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period What is the value of cot θ?
Serggg [28]

We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:

cot(θ) = (√55)/3

So we know that θ is an acute angle in a right triangle, and we get:

sin(θ) = 3/8

Remember that:

  • sin(θ) = (opposite cathetus)/(hypotenuse)
  • hypotenuse = √(  (opposite cathetus)^2 +  (adjacent cathetus)^2)

Then we have:

opposite cathetus = 3

hypotenuse = 8 = √(3^2 +  (adjacent cathetus)^2)

Now we can solve this for the adjacent cathetus, so we get:

adjacent cathetus = √(8^2 - 3^2) = √55

And we know that:

cot(θ) = (adjacent cathetus)/(opposite cathetus)

Then we get:

cot(θ) = (√55)/3

If you want to learn more, you can read:

brainly.com/question/15345177

8 0
3 years ago
(a) A tram moved downward 72 meters in 8 seconds at a constant rate. What was the change in
Alex787 [66]

Answer:

a) 9 meters.

b) The total change in temperature was of 288ºC

Step-by-step explanation:

Both these questions can be solved using rules of three.

a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?

8s - 72m

1s - x m

8x = 72

x = \frac{72}{8}

x = 9

9 meters.

b) In 1 hour, heated by 6ºC. How much in total during 48 hours?

1h - 6ºC

48h - xºC

x = 48*6

The total change in temperature was of 288ºC

3 0
3 years ago
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