Answer:
D
Step-by-step explanation:
lines are parallel, cut by transversal, so:
x=29° (alternate interior angles)
in a parallelogram, opposite angles are congruent, so:
z=119°
therefore, y=32° since D is the only option where x=29° and z=119°
Answer:
3×-6=3
3×=3+6
3×=9
×=3
Step-by-step explanation:
multiply 3 by the variables in the bracket.
then you will get 3×-6=3.
take the -6 to the right hand side and it becomes+6
then you get 3×=3+6 therefore =3×=9
then divide both sides by 3.
3×÷3 and 9÷3
×=3
Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
The +1 in parenthesis is adding one to the x value, which shifts the graph 1 unit to the left, called a horizontal translation.
The 3 outside of the parenthesis is multiplying the X value by 3, which narrows the shape of the graph ( makes the curve 3 times sharper), which is called a vertical stretch.
