Answer:
Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by
so let
substitute
simplify addition:
simplify division:
hence,
the Midpoint of the line segment is (3,1)
X = Can/Bottle height, y = Shadow length
x = 13 cm, y = 7.5 cm
x = 2.5 cm, y = 14.2 cm
I'm assuming your question is asking for an equation to model this. Since there are only two data points the only equation that can be made is linear
y = mx + c
m = (y2 - y1)/(x2 - x1) <- Let 14.2 be y2, and 2.5 be x2 (it is important)
m = (14.2 - 7.5)/(2.5 - 13)
m = 6.7/-10.5
m = -0.638
y = -0.638x + c
To find c we can sub any one of the two coordinates, i'm choosing (2.5,14.2)
14.2 = -0.638(2.5) + c
14.2 = -1.595 + c
14.2 + 1.595 = c
15.795 = c
So the final equation is y = -0.638x + 15.795
Answer:
hope this helps
Step-by-step explanation:
Let a , b , c are three sides of a triangle
a : b : c = 3 : 4 : 5
a = 3x ,
b = 4x ,
c = 5x
a² = 9x²
b² = 16x²,
c² = 25x².
c² = a² + b²
by the pythagorean theorem,
a , b , c forms a right angled Triangle.
Answer:
3 French horns
6 tubas
9 trumpets
Step-by-step explanation:
Let the number of French horns be x.
<u>Number of French horns</u> = x
There are twice as many tubas as French horns, so
<u>Number of tubas</u> = 2x
There are three more trumpets than tubas, so
<u>Number of trumpets</u> = 2x + 3
Five times the number of trumpets equals nine times the number of French horns, plus triple the number of tubas, so
