Answer:
Step-by-step explanation:
first graph
<h2>height=constant* width ( direct variation describes a linear relation between 2 variable )</h2>
6=8x ⇒ x=6/8=0.75
h=0.75w
<h2>constant is 0.75</h2>
second graph:
<h2>height=constant/width ( inverse variation)</h2>
15=x/4 ⇒x=4*15 ⇒x=60
<h2>constant=60</h2>
For two quantities with inverse variation, as one quantity increases, the other quantity decreases. k(constant)=xy
Answer:
a) T
B) WT and TZ
C) ZTU
D) YTX
E) YT and WT
F) Angle 5 - right angle
G) obtuse angle (>90)
H) acute angle (<90)
I) obtuse angle, unless it means the other side which would be a reflex angle instead (>180)
Hope this helped!
We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus,
Nesterboy [21]
Answer:
Step-by-step explanation:
Given
Required
Find U and V
We have:
Expand
Collect like terms
Expand
Group
Factorize each group
Factor out x + 10
So, we have:
By comparison
For the function f(x) = x^2+10, find the equation of the tangent line at x=-8
Answer:
6.0 units
Step-by-step explanation:
Since this is a right angled triangle, one of the trigonometric ratios will be used to find the value of y. Since the hypotenuse is 10 units, and the base and the perpendicular is unknown, therefore tangent ratio will not be used. Taking the critical angle to be 53 degrees, y becomes the base of the triangle. Therefore, cosine ratio will be used.
cos θ = Base/Hypotenuse.
cos 53 = y/10
y = 10*cos 53.
y = 6.0 units (correct to the nearest tenth).
Therefore, the side y measures 6.0 units!!!