Answer:
Step-by-step explanation:
(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab
x²+9 +6x -5 =0 , combine like terms
x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a
x= (-6 ±√6²-4*1*4)/2*1
x= (-6 ± √36-16) /2
x= (-6±√20)/2
x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify
x= -3 +√5 and x= -3 -√5
V=hpir^2
h=4
r=1.25
v=4pi1.25^2
v=4pi1.5625
v=6.25pi
v=19.625
rounded to hundreth
v=19.63 ft³
Mr. Toshio had 32 rulers.
32-11 = 21 rulers.
21+4 = 25 rulers.
and
25-7 = 18 rulers
Step-by-step explanation:
you collect like terms from both sides that is, the variables on one side and the constants on the other side
Answer:
(x+1) is a factor with remainder 0.
Step-by-step explanation:
We divide (x+1) into the polynomial
through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial
.

We subtract this from the original
.
This leaves
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. There is no remainder. This means (x+1) is a factor.