Back Next
Question 3
Indicate the answer choice that best completes the statement or answers the question.
The graphs of which pair of lines are perpendicular?
2
O a. 3x + 2y = 6, 2x – 3y = 7
Ob. 2x – 3y = 12, y = -
1
Oc. x + y = 1, 2y = -2x + 2
Od. y = 4x + 13, y = 7* - 13

A

Step-by-step explanation:

B is immediately wrong because 2x - 3y = 12 is not an equation with only x, so it can never be perpendicular to y = -1.

The two lines in C are the exact same line.

D does not have an x in the second line, so it can never be perpendicular with y = 4x + 13

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !