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3 years ago

Is x = 3 a function or not a function ?!

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

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What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

3 years ago

Mr. Thomas deposited 2500 in a new bank account. The bank pays 6.5% interest compounded annually on this account. He makes no de

kotykmax [81]

Answer:

ghjghf

Step-by-step explanation:

8 0

3 years ago

11) Write the equation of the circle with center (7, 3) and a radius of 2.

Minchanka [31]

(x - 7)² + (y - 3)² = 4 is your equation.

5 0

3 years ago

Identifique el valor atípico en la siguiente lista. Luego encuentre la media y la mediana de la lista con y sin el valor atípico

Tju [1.3M]

Translate to English and I can help u, if I were to give u a answer it would be -8.5 based on the stuff given

3 0

3 years ago

I need to understand how to solve this equation step by step

Ipatiy [6.2K]

So in order to get rid of the cubed roots, you must cube each side of the equation. what you do to one side you do to the other at all times. so when you cube a cubed root, you get whats in side. so after the first step, you should get x+5=8(2x+6) now distribute the 8 on the right side of the equation and get x+5=16x+48solve for x and get x=-43/15

5 0

3 years ago