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o-na [289]
3 years ago
6

Factorise x^2/4-y^2/4​

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

\large\boxed{\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}}

Step-by-step explanation:

\dfrac{x^2}{4}-\dfrac{y^2}{4}=\dfrac{x^2}{2^2}-\dfrac{y^2}{2^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{2}\right)^2\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}

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3 years ago
Which equation has the steepest parabola?
ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

(y-k)=n(x-h)^2

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It can be written as

\dfrac{1}{n}(y-k)=(x-h)^2

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where p=\dfrac{1}{n}, the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

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For option B, |5|=5

For option C, |8|=8

For option D, |-10|=10

Since, the equation is option A has smallest value of |p|, therefore, the equation (x+2)^2=-0.5(y+3) represents the steepest parabola.

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7 0
2 years ago
What is the approximate surface area of a sphere with a circumference of 37.68
sergij07 [2.7K]
We must find the radius so we can plug this into the formula for surface area. 

Circumference = 2 \pi r
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We are going to plug this in as our radius for the most accurate answer. 

The surface area of a sphere is 4 \pi  r^{2}

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6 0
3 years ago
Plz explain.
slega [8]
Idk, why does the world need problems like this, not like everyone is going to grow up to be a math teacher.
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2 years ago
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