Answer:
Step-by-step explanation:
x²+10x+21=0
x²+10x+(10/2)²-(10/2)²+21=0
x²+10x+25-25+21=0
(x+5)²-4=0
(x+5)²=4
(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²
(x+y)²=x²+2xy+y²
coefficient of x=2y
y²=[(coefficient of x)/2]²=(2y/2)²=y²
Answer:
Step-by-step explanation:
(x²+4)²-11(x²+4)+24=0
put x²+4=y
y²-11y+24=0
y²-3y-8y+24=0
y(y-3)-8(y-3)=0
(y-3)(y-8)=0
y=3,8
so x²+4=3
x²=-1=i²
x=±i
or x²+4=8
x²=4
x=±2
Answer:
m∠DAB is 114°
Step-by-step explanation:
The given parameters are;
The dimensions of the given parallelogram ABCD are AD = 19, EC = 15, m∠ABC = 66°, m∠DAC = 78°, m∠BDC = 19°
Given that in parallelogram ABCD, the same side interior angles are supplementary, we have;
m∠ABC and m∠DAB are supplementary
Therefore;
m∠ABC + m∠DAB = 180° by definition of supplementary angles
66° + m∠DAB = 180°
m∠DAB = 180° - 66° = 114°
m∠DAB = 114°.
Answer:
https://www.mathsisfun.com/numbers/cube-root.html
Step-by-step explanation:
Answer: The consumer saves $45
Step-by-step explanation:
If you multiply 20 by 3 you get 60 then you multiply by .75 and you get 45