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Mariulka [41]
3 years ago
5

Solve 4x^2 - 3 = 3x^2 + 13 by using square roots

Mathematics
2 answers:
Andreyy893 years ago
7 0
X=4, -4 I think! Hope that helps
mina [271]3 years ago
7 0

Answer:

x = - 4, x = 4

Step-by-step explanation:

4x^2 - 3 = 3x^2 + 13 \\  \\ 4x^2 - 3  -  3x^2  -  13 = 0 \\  \\ 4 {x}^{2}  - 3 {x}^{2}  - 16 = 0 \\  \\  {x}^{2}  - 16 = 0 \\  \\  {x}^{2}  -  {(4)}^{2}  = 0 \\  \\ (x + 4)(x - 4) = 0 \\  \\ x + 4 = 0 \:  \: or \:  \: x - 4 = 0 \\  \\ x =  - 4 \:  \: or \:  \: x = 4 \\  \\ x =  - 4, \:  \: 4

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What is the measure of one angle of a regular convex 20-gon
Contact [7]

Answer:

The measure of one angle of a regular convex 20-gon is 162°

Step-by-step explanation:

* Lets explain how to solve the problem

- A convex polygon is a polygon with all the measures of its interior

 angles less than 180°

- In any polygon the number of its angles equal the number of its sides

- A regular polygon is a polygon that is all angles are equal in measure

 and all sides are equal in length

- The rule of the measure of an angle of a regular polygon is

 m=\frac{(n-2)180}{n}, where m is the measure of each interior

 angle in the polygon and n is the numbers of the sides or the angles

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* Lets solve the problem

- The polygon is convex polygon of 20 sides (20 angles)

- The polygon is regular polygon

∵ The number of the sides of the polygon is 20 sides

∴ n = 20

∵ The polygon is regular

∴ All angles are equal in measures

∵ The measure of each angle is m=\frac{(n-2)180}{n}

∴ m=\frac{(20-2)180}{20}

∴ m=\frac{(18)180}{20}

∴ m=\frac{3240}{20}

∴ m = 162

∴ The measure of one angle of a regular convex 20-gon is 162°

5 0
3 years ago
Name: Pres
iren2701 [21]

Answer:

9 and 3/8 left over

Step-by-step explanation:

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8 cups*8= 64/8

1/4*2= 2/8

64/8+ 2/8= 66/8

66 divided by 7= 9 and 3/8

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2 years ago
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