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Nookie1986 [14]
3 years ago
8

What are the coordinates of the circumcenter of a triangle with vertices A(−3,−4), B(1,−4), and C(−3,0)?

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
The coordinate of the circumecenter of a triangle is A
kvv77 [185]3 years ago
6 0
The circumcenter is equal distance from all 3 verices.
Using distance formula, equate distance to A with distance to C:
(x+3)^2 +(y+4)^2 = (x+3)^2 + y^2
The x terms cancel, Expand and solve for y:
y^2 +8y+16 = y^2
y = -2
Now do same thing for point A and B:
(x+3)^2 + (y+4)^2 = (x-1)^2 + (y+4)^2
y terms cancel
x^2 +6x+9 = x^2-2x+1
x = -1

Circumcenter is the point (-1,-2)

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lara31 [8.8K]

Answer:

rule is when x increases by 1, y decreases by 3000

Step-by-step explanation:

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3 years ago
Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.
kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

\frac{4}{8}=\frac{1}{2}

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent

8 0
1 year ago
The answer to the problem
larisa86 [58]

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45000 x 0.08 = $3,600 per year.

The company puts 6% of that in the account:

3600 x 0.06 = $216

So per year 3600 + 216 = $3,816 is saved.

3,816 x 2 = $7,632 is the 2 year total.

The answer is A.

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3 years ago
1. Two or more linear inequalities in the same variable x and y are called
Serjik [45]

Step-by-step explanation:

  1. A. linear equation
  2. D. None of the above
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3 years ago
Please help me!<br> [One Step Inequalities]
ivann1987 [24]

Answer:

C

Step-by-step explanation:

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3 years ago
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