Actually Welcome to the concept of Geometric Mean (leg) theorem.
So according to the rule, we know that, here altitude = h and left side is 6 and right side is 14 , so we get as,
==> altitude/left = right/altitude
==> h/6 = 14/h
==> h^2 = 14*6
==> h^2 = 84
2.) so now we apply the Pythagoras theorem in triangle ∆DCB
so we get as,
==> (14)^2 + h^2 = a^2
==> 196 + 84 = a^2
==> 280 = a^2
==> a = √280
==> after simplified => a = √70*4
==> a = 2√70 units
hence the correct answer is a => 2√70 units.
The tangent trigonometric function is equal to the quotient of sine and cosine through the trigonometric identity. In this case, we are given with x = 9 tan (theta). Hence the answer to this problem is the expounded algebraic expression x = 9 sin (theta) / cos (theta).
Answer: 6 cups of ketchup per cup of mustard
Step-by-step explanation:
Given : The recipe calls for 3 cups of ketchup for every 
cup of mustard.
That means , for cup of mustard. we need 3 cups of ketchup.
By using proportions, if we multiply 2 on both sides ,we get
for 
cup of mustard. we need 
cups of ketchup.
⇒ for 
cup of mustard. we need 
cups of ketchup.
Hence, the required rate = 6 cups of ketchup per cup of mustard
The given equation is in point-slope form. The line that represents this equation passes through the point (4,1) and has a slope of (3/2).
One way to graph this quickly would be to plot the point (4,1). Move 2 units to the right from this point, and then (without picking up your pen) 3 units up. Plot a dot there. Connect the 2 points with a straight line.
Answer:
-3=a
Step-by-step explanation:
-a+4a-9=8a+6
3a-9=8a+6
3a-9-6=8a+6-6
3a-15=8a
3a-3a-15=8a-3a
-15=5a
-15/5=5a/5
-3=a
