Answer:
13 True
14 Sometimes
15 Never
Step-by-step explanation:
All equilateral triangles must have 60 degree angles
Sometimes a acute triangle can have 2 acute angles
Obtuse angles take up majority of the mesuares in the triangle. All triangles must have 3 angles equal up to 180 degrees
Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
Fisrt let us define the variableslet y be the total cost melinda paysx be the number of games she playedb be the cost of shoe rentalm is the cost of one game
y = mx + b
y = 4(3) + by = 12 + b
Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.

point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
Is there a graph or chart? Or a word problem that tells us some information