1) Vertex: (0,2) AOS x=0 table : x = -1, 0, 1 x^2+2 = 3, 2, 3 (x,y) = (-1,3), (0,2), (1,3) 2) vertex: (-5, -1) AOS x= -5 table : x = -7, -6, -5, -4, -3 x^2+10x+24 = 3, 0, -1, 0, 3 (x,y) = (-7,3), (-6,0), (-5,-1), (4,0), (-3,3) 3) vertex: (4, -1) AOS x=4 table : x = 2, 3, 4, 5, 6 y = 3, 0, -1, 0, 3 (x,y) = (2, 3), (3, 0), (4, -1), (5, 0), (6, 3) if the picture didn’t attach along with this then just use the points i gave (x,y) to plot a graph. always remember that whenever your equation has x^2 in it, it is a parabola. and do not forget to write down “y=“. my teacher takes off a lot of points if i don’t. have a great day!
The greatest common factor of the number is defined as the factor of two or more numbers. The acronym of Greatest common factor is GCF. Euclid’s algorithm is the method of finding greatest common factor between two numbers. Write the numbers in the linear form till zero comes in the remainder. Then a devisor will be the GCF of two numbers.
Step2
GCF (45, 75)
The greatest common factor of the two numbers 45 and 75 is calculated by Euclid’s algorithm as follows:
We have 2 pairs of congruent angles, so we can prove the triangles are similar triangles (using the AA similarity theorem). But we don't have enough information to prove them to be congruent. We would need at least one pair of sides to be congruent so we could use either AAS or ASA.
For instance, if we knew that AT = AP, then we would use AAS. If we knew that HT = MP, then we would use ASA instead. However, we don't have either bit of information like this. The triangles may or may not be congruent. We simply don't have enough information to say either way. We can't definitively say they are congruent, so we just lean toward "not congruent".