A. 72÷9÷2 = 8÷2 = 4
b. (18 ÷ 6) ÷ 3 = 3 ÷ 3 = 1
c. 45 ÷ 5 ÷ 3 = 9 ÷ 3 = 3
d. 144 ÷ (12 ÷ 2) = 144 ÷6 = 24
Statements Reasons
1. Write all the given as you did 1. Given
2. <DBA and <DBC are right angles 2. Def of perpendicular lines
3. m<DBA = 90 3. Def of right angle
m<DBC = 90
4. m<DBA = m<DBC 4. Substitution
5. m<DBA = m<1 + m<3 5. Angle addition postulate
m<DBC = m<2 + m<4
6. m<1 + m<3 = m<2 + m<4 6. Substitution
7. m<3 = m<4 7. Subtraction prop of equality
Answer:
x = -11
Step-by-step explanation:
17.652 is the answer of radius
Answer:
_______________________________________________________
The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
___________________________________________________
The number of days is: "15 days" .
___________________________________________________<span>
Explanation:
______________________________________________
Given:
h(x) = - 3x</span>² <span>+ 30 + 225 ;
Rewrite as: " </span>- 3x² + 30 + 225 = 0 " ;
__________________________________________________________
Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ;
-1 * {- 3x² + 30 + 225 = 0} ;
to get: " 3x² − 30 <span>− 225 = 0" ;
Divide EACH SIDE of the equation by "3" ; to simplify; since:
"3", "30", and "225" are divisible by "3" ;
{</span>3x² − 30 − 225} / 3 = 0 / 3 ;
to get:
______________________________________
" x² − 10 − 75 = 0 " ;
______________________________________
Let us factor:
-15 + 5 = -10 ;
-15 * 5 = -75 ;
_______________________________________
Rewrite as:
(x − 15) (x + 5) = 0 ;
x = 15; and x = -5 ;
_______________________________________
The number of days cannot be "negative value"; so we stick with:
"x = 15 days"
___________________________________________________
Answer: The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
___________________________________________________
The number of days is: "15 days" .
___________________________________________________
