Answer:(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .
Step-by-step explanation:
Answer:
$179.76
Step-by-step explanation:
We can calculate the total cost as follows. The 1.00 represents the before-tax cost of the dehumidifier and the 0.0575 the 5.75% sales tax:
Total cost of dehumidifier = (1.00+0.0575)($169.99) = $179.76 (to the nearest
cent()
Answer:
D. 4.843,40
Step-by-step explanation:
The total amount is 79.400 dollars and that is the one to charge with the income tax.
Remembe that 6,1%=0,061 and this is easier to multiply
Income tax= taxable income*income tax
With our numbers
Income tax=79.400*0,061
=4.843,40
Thats the state income tax that Mark has to pay
The slope of the given line is 3. Therefore, the slope of any line perpendicular to y = 3x - 2 is the negative reciprocal of 3, which is m = -1/3.
Starting with the point-slope equation of a straight line, obtain the specific equation applicable here by substituting the givens: m = -1/3, h = 6 and k = 8):
y - k = m (x - h) becomes y - 8 = (-1/3)(x - 6) (answer).
This could, if you wish, be rewritten in some other format.
