Answer:
= 9
Step-by-step explanation:
Given that,
Asn expression : 
We need to evaluate the above expression.
We know that, 
So,

or

So, the value of
is 9. Hence, the correct option is (b).
Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = 
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = 
k = 3
For R = 6 and R = 18
k = 
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
you can use 3 quarters and 2 pennies
Answer:
40 cm.
Step-by-step explanation:
Given,
height of the object = 10 cm
Distance of the object from the X-ray= 50 cm
Distance of detector from the source = 2 m = 200 cm
Height of the image, h = ?
Now,



Again applying


h = 40 cm
Hence, height of the image is equal to 40 cm.
Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!