Answer:
D. Factor out 3 from the first two terms.
Step-by-step explanation:
Vertex form is ...
y = a(x -h)² +k
where (h, k) is the vertex and "a" is the vertical scale factor.
This equation expands to give ...
y = ax² -2ahx + ah² +k
Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...
factor out 3 from the first two terms
Answer:
2$
Step-by-step explanation:
1. One large bottle is equal to small bottle+4$
2. 8 large bottles (= 8 small bottles + 32$) cost 24$ less than 12 small bottles. Replacing large bottles with small bottles+4$, we have 8b+32=12b-24 -> Simplifying 4b=8, b=2$ Where b is small bottle.
Step-by-step explanation:
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 25, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Which equation produces the values in the table?
y = 4x
y = 4 + x
y = One-fourthx
y = 4 – x ok
hope this may help you
For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
