Show that y = 11x + 5 is a tangent to the curve
y = 3x² + 5x + 8

There is only 1 solution for x.

Step-by-step explanation:

Hi there!

This is a linear-quadratic system. If the line is tangent to the parabola, it means that it would only have 1 solution.

Set y equal:

Move everything to the left side:

Divide both sides by 3:

Factor:

Solve for x:

Therefore, the only solution for x when y is set equal for both functions is 1. There is only 1 solution for x, so is tangent to the curve .

I hope this helps!

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450