Answer:
15x^2-32x+9
Step-by-step explanation:
(3x – 1)(5x – 9)
FOIL
first: 3x*5x= 15x^2
outer: 3x(-9) = -27x
inner: -1(5x) = -5x
last: -1(-9) = 9
Add them together
15x^2 -27x-5x +9
Combine terms
15x^2-32x+9
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

B) Cos 40 =0.766.
Substituting tan40 value we have:

EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D) 
EF=8.39
E) Area of triangle EFG= 
A rea of the triangle = 
Area= 54.75 square units.
Answer:
SAS theorem
Step-by-step explanation:
If
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

So,
and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:29.3
Step-by-step explanation: 88/3
Answer: 21
Step-by-step explanation:
k(x) =x^3-2x
k(3) =3^3-2*(3)
k(3) =27-6
k(3) = 21