What are the x-intercepts of the quadratic function?

f(x)=x^2+2x−24

enter your answers in the boxes.

and

x= -6  and x= 4

Step-by-step explanation:

WE need to find x intercepts for the given quadratic function

To find x intercept we set f(x)=0 and solve for x

To solve for x we need to factor x^2 +2x-24

We need to find out two factors whose product is -24 and sum is 2

6 times -4= -24  and 6-4= 2

Break the middle term 2x using factors 6x-4x

0=(x+6)(x-4)

now we set each factor =0 and solve for x

x+6 =0 , so x=-6

x-4=0 so x= 4

x= -6  and x= 4

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq