-2x^2+50x+40=0
-2*(x^2-25x-20)=0
x^2-25x-20=0
complete square:
x^2-25x-20+156.25^2=0+156.25
x^2-25x+156.25^2=20+156.25
(x-12.5)^2=176.25
x-12.5=+/-sqrt(176.5)
x=12.5+/-sqrt(176.5)
The value of the given expression is
Solution:
Given expression is .
Let us first convert mixed fraction into improper fraction.
Substitute this in the given expression.
To simplify the above expression, 21 and 60 are cancelled by 3.
Do cross multiplication to make the denominator same.
The value of the given expression is
Answer:
a = 35°; b = 50°; c = 85°; d = 30°
Step-by-step explanation:
a = 35° because a + 80 + 65 = 180.
b = 50° because b+ 35 + 95 = 180.
c = 85° because c + 95 = 180.
d = 30° because d + 85 + 65 = 180.
vertex form of a parabola
y= a(x-h)^2 +k
y =a(x--3)^2 +2
y = a(x+3)^2 +2
Choice B
Answer:
BC = 10 units
Step-by-step explanation:
From the picture attached,
It's given that AD and BE are the parallel sides.
AC and DC are the transversal lines intersecting the parallel lines.
In ΔADC and ΔBEC,
∠DAC ≅ ∠EBC [Corresponding angles]
∠ADC ≅ ∠BEC [Corresponding angles]
ΔADC ~ ΔBEC [By AA property of similar triangles]
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
BC = 10