Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.
Step-by-step explanation:
From the statements,
∠G≅∠K
∠F≅∠J
∠H≅∠L
The sides of triangle FGH are proportional to those of triangle JKL
FG/JK =GH/KL=FH/JL =1/2
X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
Answer:
kr3kf,,xdk,xe3,ke,kex,ks,l,sl,r4kf
Step-by-step explanation:
nyjogtqGTKJMIYTRFEWDGTYU87R4EW2ERT5YUIO0IUJHYGFREDRGHJKL.BBRTBTRN