Answer:
-3,8
Step-by-step explanation:
1) we can factor this since this quadratic function is in the form of
ax^2+bx+c
where we need to find out what*what=c
and what+what=b
since c is -24 and b is -5 we need to figure out the factors of -24 which equal -5:
-8+3=-5
and
-8*3=-24
hence -8 and 3 is our factors, next we will substitute them in place of "b"
so
n^2-8n+3n-24
split this equation in two groups:
group 1) n^2-8n
group 2) 3n-24
gcf of group 1= n
so
n(n-8)
gcf of group 2: 3
so
3(n-8)
next take numbers outside of parentheses and group them together:
so (n+3) (n-8)=0
since anything times 0 is equal to 0, either (n+3) is 0 or (n-8) is 0
so
n+3=0
n=-3
n-8=0
n=8
hence n=-3,8
Hope this helps!
Uhh uhhhhhhhhhhh i dont know
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
