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nikdorinn [45]
3 years ago
12

4x – 8x + 2 = -4(x + 3)

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

No solution

Step-by-step explanation:

4x – 8x + 2 = -4(x + 3)

4x – 8x + 2 = -4x - 12

-4x + 2 = -4x - 12

-4x + 4x + 2 = -4x + 4x - 12

2 = -12

No solution

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have bud
saveliy_v [14]

Answer:

They can invite 136 while staying in budget

Step-by-step explanation:

Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:

5,000-80 = 4,920

After doing this, you can take 4,920 and divide it by 36 (the price per person).

4,920/36 = 136.67

Because you can not have .67 of a person, your closest number you can use is 136.

leaving them with $24

5 0
3 years ago
Can someone help me (3.7x10-8)(2.9x10⁶
Salsk061 [2.6K]
Scientific notation:
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expanded form:
84100000
3 0
3 years ago
Mr. Chang’s class has 28 students, StartFraction 4 Over 7 EndFraction of whom are girls. Which equation shows how to determine t
Olegator [25]

Answer:

Okay, so we know a number of students and the amount of girls as a bracket. So what we have to do now is multiply them with each other.

28 *4/7 = 16

So there are 16 girls in Mr. Chang´s class.

You can also determine the boys by - the students with the girls:

28-16=12 boys

Have a nice day :D

Step-by-step explanation:

brainliest?

7 0
3 years ago
Read 2 more answers
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marshall27 [118]

Answer:

c>16

Step-by-step explanation:

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3 years ago
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