All categories

2 years ago

Simplify the equation : 14/ 5 - 1/4

Mathematics

1 answer:

asambeis [7]2 years ago

8 0

Answer:

51/20

Explanation:

14/5-1/4=

14*4/5*4-1*5/4*5=

56/20-5/20=

56-5/20=

51/20

You might be interested in

Using the binomial theorem , obtain the expansion of :

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1 6 15 20 15 6 1

Decreasing powers of 1 from $1^{6}$ to $1^{0}$

Increasing powers of 3x from $(3x)^{0}$ to $(3x)^{6}$

$1+3x)^{6}$

= 1. $1^{6}$ $(3x)^{0}$ + 6. $1^{5}$ $(3x)^{1}$ + 15. $1^{4}$ $(3x)^{2}$ + 20. $1^{3}$ $(3x)^{3}$ + 15.1² $(3x)^{4}$ + 6. $1^{1}$ $(3x)^{5}$ + 1. $1^{0}$ $(3x)^{6}$

= 1 + 18x + 135x² + 540x³ + 1215 $x^{4}$ + 1458 $x^{5}$ + 729 $x^{6}$

--------------------------------------------------------------------------------------

$(1-3x)^{6}$

= 1. $1^{6}$ $(-3x)^{0}$ + 6. $1^{5}$ $(-3x)^{1}$ + 15. $1^{4}$ $(-3x)^{2}$ + 20. $1^{3}$ $(-3x)^{3}$ + 15.1² $(-3x)^{4}$ + 6. $1^{1}$ $(-3x)^{5}$ + 1. $1^{0}$ $(-3x)^{6}$

= 1 - 18x + 135x² - 540x³ + 1215 $x^{4}$ - 1458 $x^{5}$ + 729 $x^{6}$

----------------------------------------------------------------------------------

Collecting like terms from both expressions

$(1+3x)^{6}$ + $(1-3x)^{6}$

= 2 + 270x² + 2430 $x^{4}$ + 1458 $x^{6}$

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1 5 10 10 5 1

Decreasing powers of 1 from $1^{5}$ to $1^{0}$

Increasing powers of 2x from $(2x)^{0}$ to $(2x)^{5}$

$(1+2x)^{5}$

= 1. $1^{5}$ $(2x)^{0}$ + 5. $1^{4}$ $(2x)^{1}$ + 10. $1^{3}$ $(2x)^{2}$ + 10. $1^{2}$ $(2x)^{3}$ + 5. $1^{1}$ $(2x)^{4}$ + 1. $1^{0}$ $(2x)^{5}$

= 1 + 10x + 40x² + 80x³ + 80 $x^{4}$ + 32 $x^{5}$

8 0

2 years ago

Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

AleksandrR [38]

1 perpendicular bisector divides 1 side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths.

Angle bisectors splits an angle of a triangle into two even degrees.

EX: if it is an equilateral triangle, each angle will be sixty degrees. Therefore, ONE angle bisector will split ONE of the angles into even degrees of thirty degrees.

7 0

2 years ago

If you stand next to a wall on a frictionless skateboard and push the wall with a force of 36 N, how hard does the wall push on

VARVARA [1.3K]

The wall pushes back with an equal and opposite force. So it pushes with a force of 36N in the opposite direction of the push. This allows you to move away from the wall.

7 0

2 years ago

Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.

just olya [345]

The get (x-1)(x-√2)(x+√2)(x-√3)(x+√3).

Expanding, you get x^5-x^4-5x^3+5x^2+6x-6.

3 0

2 years ago

What’s the converse of the Pythagorean theorem

Lady bird [3.3K]

What is the Converse of the Pythagorean Theorem? The theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle

8 0

3 years ago

Simplify the equation : 14/ 5 - 1/4​

Simplify the equation : 14/ 5 - 1/4