Solve 6/×-3 =x/3
for x, and determine if the solution is extraneous or not.
x = -2. extraneous
x = -2, non-extraneous
x = -3. non-extraneous
x = -3. extraneous

X = -3. non-extraneous

Step-by-step explanation:

The given equation is

We cross multiply  to get:

Expand and multiply.

We factor to obtain:

Checking for extraneous solutions

Substitute x=-3

.....Non-extraneous

Checking for x=6

....Non-extraneous

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.