The sum of two integers is -1 the product of these integers are -56 what are the integers?

-8 and 7

Step-by-step explanation:

 Let the integers be x and y.

Then, we have two conditions:

(1)      x + y = -1

(2)        xy = -56

(3)           y = -x -1     Subtracted y from each side of (1)

(4)   x(-x -1) = -56     Substituted (3) into (2)

      -x² - x = -56      Distributed x

        x²+ x = 56      Multiplied each side by -1

x²+ x - 56 = 0        Subtracted 56 each side

(x+8)(x - 7) = 1         Factored the quadratic

x + 8 = 0     x - 7 = 0

     x = -8          

For x = -8,

-8 + y = -1

      y = 7

For x = 7,

7 + y = -1

     y = -8

The pair of integers is -8 and 7.

she drove 134 miles

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4