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koban [17]
2 years ago
9

Here is a square inscribed in a circle with radius 1 meter. What is the perimeter of

Mathematics
1 answer:
Dimas [21]2 years ago
3 0

Answer:

4\sqrt{2}

Step-by-step explanation:

distance formula:\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}

set square to be centered on the origin and find the distance between 2 of the connected points

\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}

= \sqrt{\left(1\right)^{2}+\left(1\right)^{2}}

= \sqrt{2}

multiply by 4 as it is a square and all of its sides are equal

4\sqrt{2}

insert units

4\sqrt{2}\ \ meters

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The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t
Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂)  is divided by a point in ration m:n internally.

Then the co-ordinate of the point is  (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n}).

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 ,  x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})

=(\frac{-16}{4},\frac{-12}{4})

=(-4,-3)

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3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 3/ square root of 3x + 4
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Is there an answer key?

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