To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:
(x1+x2/2, y1+y2/2)
( (16 + -6)/2, (5 + -9)/2 )
Now, we can begin to simplify by computing the addition in the numerators of both fractions.
(10/2, -4/2)
Next, we can finish the simplification process by dividing these fractions.
(5, -2)
Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).
Hope this helps!
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
Answer:
How many items did Bob produce last week? 32 items.
Step-by-step explanation:
(1) Last week Bob was paid total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
a) Let's start with the simplest case: he produced 36 or less items this week.
In this case he produced less than 36 items last week too.
So he was paid the same amount of dollar per item.
Using (1) and (2) assumptions we have:
$480+2X=$510
⇒2X=$510-$480
⇒2X=$30
⇒2X=$30/2
⇒X=$15
He was paid $15 per item.
Last week he was paid $480.
480/15= 32 items.
This week he was paid $510.
510/15=34 items.
The other cases has no solutions.
Answer:
This might be wrong but I think it is C
Step-by-step explanation:
The answer: $24.05
How to:
Go through the graph and add all the values together
Then subtract $3.00 from the cost
Then add 4% sales tax
