Answer:
1). The constant of variation is 7
2). w = 6 for the given values of x and y
Step-by-step explanation:
"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.
We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:
y=Kxw
-42=K(2)(-3)
-42 = -6K
K = 7
<h2>The expression becames <u>
y = 7xw</u></h2>
The constant of variation is 7.
The value of w for y=3 and x=(1/14) would be:
y=7xw
3 = 7*(1/14)*w
3 = (1/2)*w
<h2><u>
w = 6</u></h2>
Answer:
Step-by-step explanation:
we know that
----> equation A
Applying Pythagoras Theorem
-----> equation B
-----> equation C
substitute equation A in equation C
we have that
so
substitute the given values
Solve for m
Find the value of PQ
substitute the value of m
Good night from Canada!
Let W be the width in meters
Let L be the length in meters.
L*W=464464
L=2W-33
(2W-33)*W=464464
2W^2-33W=464464
2W^2-33W-464464=0
Use the quadratic formula to solve for the zeros
x=-b√b²-4ac/2a
Sub in b=-33 a=2 and c=-464464 and solve using position and negative values for the √b.
We get:
w=490.225 and w=473.725
Through simple algebra we can figure out that x=490.225 is more accurate when using it with the other equations and solving for the given area.
L=2*490.225-33
L=947.45
947.45*490.225=464463.7
Therefore the length is 947.45m and the width is 490.225m.
Hope this helps!
Answer:
x=2
Step-by-step explanation:
F(x) = 2x^2 - 8x +8
Axis of symmetry lies at the x coordinate of vertex
To find x coordinate of vertex use formula
from the given f(x) , a= 2 and b = -8
Plug in all the values
x=2
So the axis of symmetry at x=2
