9x^2-16y^2=
(3x+4y)(3x-4y)
Answer:
(2187 *y∧3) / (x∧10 *z) You must know a∧m * a∧n = a∧(m+n) and
a∧m / a∧n = a∧(m-n)
Step-by-step explanation:
First I will rewrite your expression
( 9*x∧(-2)*y∧(-3)*z∧4)∧2 / (3*x∧(-2)*y∧3*z∧(-3))∧(-3) =
= (9∧2) *( (x∧(-2))∧2) * (y∧(-3))∧2 * (z∧4)∧2 / (3∧(-3)) * (x∧(-2)∧(-3)) * ((y∧3)∧(-3)) * (z∧(-3)∧(-3)) =
= ((3∧2)∧2) * (x∧(-4)) * (y∧(-6)) * (z∧8) / (3∧(-3)) * (x∧6) * (y∧(-9)) *(z∧9) =
= (3∧4)/(3∧(-3)) * (x∧(-4-6)) * (y∧(-6-(-9))) * (z∧(8-9) =
= (3∧(4-(-3))) * (x∧(-10)) * (∧y(-6+9)) * (z∧(-1)) = (3∧(4+3) * (x∧(-10)) *(y∧3) * (z∧(-1)) =
(3∧7) * (x∧(-10)) * (y∧3) * (z∧(-1)) = (2187 * y∧3) / (x∧10 * z)
Good luck!!!
Answer:
8 pi m
Step-by-step explanation:
area of a circle is 2r pi
2(4) pi = 8 pi
Sine theorem:
a/sin A=b/sin B=c/sin C
Data:
A=33º
a=19
b=14
19/ sin 33º=14 / sin B
sin B=(sin 33º *14) / 19
sin B=0.41312...;
B=arcsin 0.41312...=23.66º
A+B+C=180º
33º+23.66º+C=180º
C=180º-33º-23.66º
C=123.34º
a/Sin A=c/sin C
19 / sin 33º=c / sin 123.34º
c=(19 * sin 123.34º) / sin 33º
c=29.14
Answer: a=19; b=14, c=29.14; A=33º; B=23.66º; C=123.34º
Answer:
y=-115
Step-by-step explanation:
y/5+4=-19
y/5=-23
y=-115