Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
24 and 2/5=24+2/5
24=24
0.1=1/10
2/5=x/10
times both sides by 10
20/5=x
4=x
2/5=4/10=0.4
24 and 2/5=24+0.4=24.4
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
Answer:
The remainder is 64
Step-by-step explanation:
Consider the function 
Use synthetic division to divide by x+9
x+9=0, x=-9
divide the given f(x) by -9 using synthetic division
-9 1 3 -51 91
0 -9 54 -27
--------------------------------------------------
1 -6 3 64
The remainder is 64
Answer:
Step-by-step explanation:
We want to find the sum of
We can rewrite this as
This becomes;
Recall that;
This implies that;
Combine like terms:
