Answer:
12) y=3x-15
14) y=-1/2x
16) y=13x-105
Step-by-step explanation:
Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):
12) y=3x+b
14) y=-1/2x+b
16) y=13x+b
now, we can plug in each of the coordinates given to these equations.
12) (4,-3): 4 is x, -3 is y.
-3=3(4)+b
simplify: b= -15
14) (-4,2): -4 is x, 2 is y
2=-1/2(-4)+b
simplify: b=0
16) (9,12): 9 is x, 12 is y
12=13(9)+b
simplify: b=-105
Now, plug in those numbers to your equation for b value.
12) y=3x-15
14) y=-1/2x
16) y=13x-105
*for 14 we don't need to write anything after -1/2x because b=0*
Answer:
The first derivative of
is
.
Step-by-step explanation:
We proceed to find the first derivative of
by explicit differentiation and rule of chain:



The first derivative of
is
.
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
Answer:
5x+3y+5/2(5 over 2)
Step-by-step explanation:
Divide 10 by 2
divide 6 by 2
divide 5 by 2 and you stay at 5/2
Answer:
Step-by-step explanation:
In parallelogram, opposite sides are parallel and equal
3x + 7 = 5x -17
3x - 5x = -17 - 7
-2x = - 24
x = -24 /-2
x = 12