The graph for the equation y=2x+4 is shown below. if another equation is graphed so that the system has one solution, which equation could that be? y=2x-4 y=2(x+2) y=2(x-4) y=x+4 !

y=x+4 is the another equation so that the system has one solution.

Step-by-step explanation:

y=2x+4

find the another equation so that the system has one solution

When the slopes are equal then the lines are pependicular to each other. Then the lines never intersect.

So we should not consider the equation that has same slope

y=2x+4 , the slope of given line is 2

y=2x-4, slope =2   (same slope)

y=2(x+2)

y=2x+4  , slope =2  (same slope)

y=2(x-4)

y=2x-8, slope =2 (same slope)

y=x+4 , slope = 1 (different slope)

So y=x+4 is the another equation so that the system has one solution.

step-by-step explanation:

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'.