First, we obtain the gradient (slope) of the first parallel line

Recall that since both lines are parallel, we have that,

Thus

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)
Using
Total miles:350+150=500
Total hours:4+3=7
Avg speed:500/7=71.429 mph
Answer: 231
Step-by-step explanation: We can use PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in order. Multiply 34 and 6: 204.
50 + 204 - 23. Add 50 and 204: 254. Subtract 254 and 23: 231.
Answer:
see explanation
Step-by-step explanation:
c = a - 2b
= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2
= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components
= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >
| c | =
=
= 
-------------------------------------------------------------------------------------------------
sum the product of corresponding components
u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16
Answer:
cost of ribeye steak dinners = $10.36
cost of grilled salmon= $11.581
Step-by-step explanation:
Let the cost of one steak dinners be x
Let the cost of one grilled salmon be y
One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as
12(x)+39(y)= $575.53-------------------------------------(1)
On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as
25(x)+ 13(y)= $582.43-------------------------------------(2)
solving the equation (1) and (2)
eq(1) x 1
eq(2) x 3
-------------------------(3)
Subtracting these equation we get,


x= 10.36
Now substituting this in equation (1)




y=11.581