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hoa [83]
3 years ago
11

4 Subtract. Write the expression below in simplest form. (-x + 3) - (4x-10)

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

Step-by-step explanation:

(-x + 3) - (4x - 10)

= - x + 3 - 4x + 10 (because when you see the minus sign you have to change all the sign inside the bracket)

= -5x + 13 (this step is just subtract -x and -4x and 10 + 3)

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An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are s
Kay [80]

Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.

<h3>Find the expression for the area of the shaded regions:</h3>

From the question we can say that the Hexagon has three shapes inside it,

  • Pentagon
  • Square
  • Triangle

Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

  • Area of first shaded region = Area of the hexagon - Area of pentagon

An equilateral triangle is shown inside a square.

  • Area of second shaded region = Area of the square - Area of equilateral triangle  

The expression for total shaded region would be written as,

Shaded area = Area of first shaded region + Area of second shaded region

Hence,        

⇒ Shaded area  = area of the hexagon – area of the pentagon + area of the  square – area of the equilateral triangle.

 

Learn more about area of a shape here:

brainly.com/question/16501078

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8 0
1 year ago
Read 2 more answers
What is 25% as a decimal
Artist 52 [7]
25% as a fraction is 1/4 or 25/100 so as a decimal its 1/4 of 1 which is .25
3 0
3 years ago
Read 2 more answers
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
2 years ago
I need helppppppppppppp
ohaa [14]
Simplify

4ax+12-3ax=25+3a

ax+12=25+3a

ax-3a=25-12

a(x-3)=13
5 0
2 years ago
PLEASE HELP<br> Solve. x^2+9x+2=0
Nataliya [291]

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

8 0
3 years ago
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