Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
48 one foot is 12 inches multiply the amount of feet you have by 12 (12f)
Answer:
9 cm
Step-by-step explanation:
The volume of a square based pyramid is given as :
V = 1/3a²h
Where ; a = base edge ; h = Height
Volume, V = 48 cm³ ; a = 4cm
48 = 1/3 * 4² * h
48 = 1/3 * 16h
48 * 3 = 16h
144 = 16h
h = 144 / 16
h = 9 cm
Height = 9cm
<em>The </em><em>price</em><em> Manuel </em><em>paid </em><em>for the</em><em> balloons</em><em> is</em><em> $17</em>
<h3>The formula for the relation has been given as </h3>4.5j + 2m
where we are told that m stands for medium and
j stands for jumbo.
Here, all we have to do is to make a direct substitution for the jumbo and medium sizes as given in the question.
- j = 2
- m = 4
Therefore, substituting into the primary equation, we have
4.5(2) + 2(4) =
9 + 8 = 17 dollars
The price Manuel paid to Paula is 17 dollars.
learn more about mathematical equations here brainly.com/question/22688504
Answer: D
Step-by-step explanation:
(3 + 2i) (3-2i) = 13
