What is the factorization of the trinomial below -x^2-2x+48

Step-by-step explanation:

In some fashion or another, the two factors are 6 and 8. But how are they put together?

-(x^2 + 2x - 48)

The 8 will be plus. That would make 2x plus. It should factor like this.

-(x + 8)(x - 6)

To check it, we should find the roots and post the graph. The graph will be upside down. That's what the minus outside the brackets  does.

x + 8= 0

x = - 8

=======

x - 6 = 0

x - 6 + 6 = 6

x = 6

-(x-6) (x+8)

(-x +6) (x+8)

Step-by-step explanation:

-x^2-2x+48

Factor out a -

-(x^2 +2x - 48)

What 2 numbers multiply to -48 and add to 2

-6 *8 = -48

-6+8 = 2

-(x-6) (x+8)

We can leave it like this or put the negative back in

(-x +6) (x+8)

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4