The graph of a quadratic function y = ax^2 + bx + c is shown. tell whether the discriminant of ax^2 + bx + c = 0 is positive negative, or zero.

The discriminant is equal to 0.

Step-by-step explanation:

The graph shows the parabola with branches go down in negative y-direction. This gives you that a<0.

Since parabola has one x-intercept, then the equation has two equal solutions and the discriminant is equal to 0.

Zero

Step-by-step explanation:

1. By definition: if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.

2. You can see that the function touches the x-axis, this only happen when the solution of the function is even . Then, the function has only one solution. The discriminant is zero.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.