Can anyone please explain this?

Mathematics

1 answer:

Leni [432]2 years ago

4 0

Answer:

Solution given:

Let there be a point P(x, y) equidistant from

A(-3, 2) and B(0,4),

so PA = PB,

$\sqrt{(x+3)²+(y-2)²}=\sqrt{(x-0)²+(y-4)²}$

squaring both side

$(\sqrt{(x+3)²+(y-2)²})^{2}=(\sqrt{(x-0)²+(y-4)²})²$

x²+6x+9+y²-4y+4=x²+y²-8y+16

x²+6x+y²-4y-x²-y²+8y=16-4-9

6x-4y+8y=3

6x-4y=3 is a required locus 

Actually:

A locus is  a curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.

You might be interested in

Which parent function is represented by the graph?

IRINA_888 [86]

I cant see all the choices but its a quadratic function#

4 0

3 years ago

Read 2 more answers

0.002 is 1/10 (fraction) of......

Tpy6a [65]

0.002 is the 1/10 of what number.
Find the number that applies to this.
=> 0.002 has a thousandths value since it is placed next to the decimal points
=> To be able to get the answer. Let’s convert 1/10 into a decimal.
=> 1 / 10 = 0.1
Now that we have the same decimal numbers, we can now start dividing 0.1 to 0.002
=> 0.002 / 0.1
=> 0.02
Thus, 0.002 is the 1/10 of 0.02 number.

3 0

2 years ago

Read 2 more answers

What number represents the coefficient in this formula 5h2?

kodGreya [7K]

Here, formula: 5h²

Coefficient = 5

Hope this helps!

6 0

3 years ago

Find all the square roots of x2 ≡ 53 (mod 77)

Nikolay [14]

Answer:

$x=\pm\sqrt{77n+53}$

Step-by-step explanation:

We have been given an equivalence equation $x^2\equiv 53\text{ (mod } 77)$ . We are asked to find all the square root of the given equivalence equation.