Answer:
x=2
Step-by-step explanation:
use distributive property: x^2+2x-1=4
remove the -1 by adding 1 on both sides: x^2+2x=5
use the guadratic fromula: ax²+bx+c=0
plug in the equation x^2+2x-5=0
a,b and c are the coefficients to plug into the formula
a=1, b=2, c=-1
Finally, you will find that x=2
Answer:

Step-by-step explanation:


So,

Therefore 2^7 is greater
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b = 
b= 4√3 or about 6.928 units
hope this helped
Answer:
x ≥4
Step-by-step explanation:
-4(8-3x) ≥6x-8
Distribute
-32+12x ≥6x-8
Subtract 6x from each side
-32+12x-6x ≥6x-6x-8
-32+6x ≥-8
Add 32 from each side
-32+32 +6x ≥-8+32
6x ≥ 24
Divide each side by 6
6x/6 ≥24/6
x ≥4