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Allushta [10]
3 years ago
15

Verify that( a+b)+c=a+(b+c) where a=-1/2 b=3/4 c=5/7​

Mathematics
1 answer:
mojhsa [17]3 years ago
6 0

Step-by-step explanation:

(a + b) + c \\  =   \bigg(-  \frac{1}{2}  +  \frac{3}{4} \bigg ) +  \frac{5}{7}  \\ =   \bigg(-  \frac{2}{4}  +  \frac{3}{4} \bigg ) +  \frac{5}{7}  \\  =    \frac{1}{4} +  \frac{5}{7}  \\   =  \frac{7 + 20}{28}  \\    \red{ \bold{\therefore \: (a + b) + c=  \frac{28}{28}}}...(1) \\  \\ a + (b + c) \\  =  -  \frac{1}{2}  +  \bigg( \frac{3}{4}  +  \frac{5}{7}  \bigg) \\ =  -  \frac{1}{2}  +  \bigg( \frac{21 + 20}{28}   \bigg) \\ =  -  \frac{1}{2}  +   \frac{41}{28}   \\  =  \frac{ - 14 + 41}{28}  \\  \red{ \bold{a + (b + c)  =  \frac{ 27}{28}}}....(2)  \\  \\ from \: equations \: (1) \: and \: (2) \: it \: is \\ obvious \: that:  \\  \:  \:  \: \purple{  \boxed{\bold{ (a + b )+ c = a + (b + c)  }}} \\   \:  \:  \: hence \: verified.

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F(x)=8x^2-2x+3<br> g(x)=12x^2+4x-3<br> what is h(x)=f(x)-g(x)?
Trava [24]

Answer: h(x)=-4x^2-6x+6

Step-by-step explanation:

To find the function h(x), you need to subtract the function f(x)=8x^2-2x+3 and the function g(x)=12x^2+4x-3.

h(x)=f(x)-g(x)\\h(x)=8x^2-2x+3-(12x^2+4x-3)

Distribute the negative sign:

h(x)=8x^2-2x+3-12x^2-4x+3

Now you can add the like terms:

h(x)=-4x^2-6x+6

Therefore, you get that the function h(x) is:

 h(x)=-4x^2-6x+6

6 0
3 years ago
Read 2 more answers
Simplify the following 4√28÷3√7​
finlep [7]

Answer:

8/3 ( Fraction Form), 2.6 ( Decimal Form),  2 2/3 ( Mixed Number Form)

Step-by-step explanation:

Simplify the radical by breaking  the radicand up into  a product of known factors, assuming positive real numbers.

6 0
3 years ago
Read 2 more answers
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

6 0
2 years ago
What are the FACTORS of this equation?
Free_Kalibri [48]

um i would say 25 all together

8 0
3 years ago
Hey can some one help me with this
Leno4ka [110]
Hello!

First you have to find the surface area of what he is painting

Finding the areas of all the rectangles he is painting

14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168

Add all these up

112 + 112 + 96 + 96 + 168 = 584

Divide this by the amount of area a pint of paint covers

584 / 90 = 6.4888...

He needs 7 pints of paint because he needs more than 6

Multiply this by the cost of 1 pint of pint

7 * 7.98 = 55.86

The answer is $55.86

Hope this helps!
3 0
3 years ago
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