Solve for x write the smaller solution first, and the larger solution second.
x^2−x−12=0
smaller x=
larger x=

The smaller x is -3

The larger x is 4

Step-by-step explanation:

x^2−x−12=0

Factor

What two numbers multiply together to give us -12 and add together to give us -1

-4*3 = -12

-4+3 = 1

(x-4) (x+3) = 0

Using the zero product property

x-4 =0   x+3 = 0

x=4   x=-3

The smaller x is -3

The larger x is 4

smaller x=  -3

larger x= +4

Step-by-step explanation:

Factoring the equation x^2−x−12=0

x^2+3x-4x-12=0

x(x+3)-(4x+12)=0

x(x+3)-4(x+3)=0

(x-4)(x+3)=0

x-4=0 or x+3=0

x=4 or x=-3

smaller x=  -3

larger x= +4

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis