Answer:
Add 6 each time.
Step-by-step explanation:
Figure 1 has 4 tiles.
To go from figure 1 (4 tiles) to figure 2 (10 tiles), you added 6 tiles.
To go from figure 2 (10 tiles) to figure 3 (16 tiles), you added 6 tiles.
∴ the rule is to add 6 tiles each time.
Answer:
$4.59
Step-by-step explanation:
20 - 1.20 - 5.03 = 13.77
13.77/3 = 4.59
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
-1(3x-2y=27)
3x-y=24
-3x+2y=-27
+3x-y = 24
y=-3
3x-(-3)=24
3x+3=24
-3. -3
3x=21
/3. /3
X=7
Hope that helps
Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
