If y varies directly as x, and y = 36 as x = 9, find y for the x-value 5

1 answer:

6 0

Y varies directly as x means this equation : y=kx

given y=36 and x=9, plug it into the equation to find k
36 = 9k, so k=?
k=4

so now you have your equation y=4x
and you're trying to find y given x=5
so
y= 4(5) so y=?

You might be interested in

Let v1=(3,5) and v2=(-4,7) Compute the unit vectors in the direction of |v1| and |v2|?

AleksandrR [38]

By definition, the unit vector of v = (a,b) is
$\hat{v} = \frac{\vec{v}}{|v|}$

Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34

The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65

Answer:
The unit vector of v₁ in the direction of |v₁} is $( \frac{3}{\sqrt{34}} , \frac{5}{\sqrt{34}} )$
The unit vector of v₂ in the directin of |v₂| is
$( \frac{-4}{\sqrt{65}} , \frac{7}{\sqrt{65}} )$

6 0

3 years ago

If cos(-ϴ)=0.95, find sin(π/2-ϴ)

Furkat [3]

$\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
\stackrel{\textit{symmetry identities}}{cos(-\theta )=cos(\theta )}\\\\
-------------------------------\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)=cos(-\theta )=0.95$