The height of a triangle is 6 m more than its base. the area of the triangle is 56 m². what is the length of the base? question 2 options: 7 m 8 m 14 m 15 m

112=b(6+b)

112=b²+6b

minus 112 both sides

0=b²+6b-112

factor

what 2 numbers multily to get -112 and add to get 6

-8 and 14

0=(b-8)(b+14)

set to zero

b-8=0

b=8

b+14=0

b=-14

false, measures can't be negative

base=8

h=6+b

h=6+8

h=14

height=14

base=8

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.