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3 years ago

What is the solutions of the equation 2 (x+2) ^2-4=28

Mathematics

1 answer:

JulsSmile [24]3 years ago

3 0

Answer:

x = 2 x = -6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2= 32

Divide by 2

2/2 (x+2) ^2=32/2

(x+2)^2 = 16

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = -2±4

x = -2±4

x = -2+4 and x = -2-4

x = 2 x = -6

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34. Lora is thinking of a number. It is less than 50 It is a 2-digit number. 3 is a factor of this number. The sum of its digits

-Dominant- [34]

Answer:

Step-by-step explanation:

The number is between 10 and 49

The number is divisible by 3

Let the 10s digit = x

Let the units digit = y

1/3 * (10x + y) = x + y multiply both sides by 3

10x + y = 3(x +y) remove the brackets.

10x +y = 3x + 3y Subtract 3x from both sides

10x - 3x + y = 3y Combine\

7x + y = 3y Subtract y from both sides.

7x = 3y - y Combine

7x = 2y

x can't be very big. Even taking 1/3 will get out of range is you use 6.

Also x should be an even number. The units digit cannot have a fraction in it.

Try making x = 2

7*2 = 2*y

14 = 2y Divide by 2

14/2 = y

y = 7

So the number is possibly 27. Let's check it out.

The number is between and includes 10 and 49. 27 is between these two endpoints.
27 is divisible by 3
1/3(27) = sum of digits
9 = (2 + 7)

All of the conditions are met. It's B

8 0

2 years ago

What is the remainder of (x^3-6x^2-9x+3)/(x-3)

marta [7]

Thw answer is -51
Found through long division

7 0

3 years ago

Can 30 ounces and 3 pints be expressed as a ratio in simplest form

Bas_tet [7]

30 divided by 3 = 10
3 divided by 3 = 1
10:1

7 0

3 years ago

shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri

Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in $x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}$ .

⇒ $x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}$

⇒ $x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}$

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

#SPJ1

6 0

2 years ago

What is v6/v5 in simplest radical form?

ira [324]

Answer: $\sqrt{30}/5$

Step-by-step explanation:

You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the $\sqrt{5}$ .

Look at the image below for further explanation

Download pdf

6 0

3 years ago