Let us start dividing 30 by small prime numbers in increasing order .
the smallest prime number we use is 2
Let's divide 30 by 2 quotient is 15
so we get : 30 = 2* 15
15 is not a prime number , it can be factorized further .
now we start dividing 15
2 can not divide 15 so we move to next prime number that is 3
can 3 divide 15? yes .
we get a quotient 5
so 30 is now : 2* 15 = 2* 3*5
now we have to work on 5 but 5 is a prime number so we stop here .
the prime factorization of 30 is : 2* 3* 5
Answer : 2 *3*5
In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;

Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
brainly.com/question/6499629
4(a-2)=3(a+4)
4a-8=3a+12
a=20
Well you can try rewriting it to this
answer is d 270
first start of by factoring and subtracting the 1 into the right side
sin(x) ( 2 sin (x) + 1) = -1
set each one equal to -1
sin( x) = -1 and 2 sin (x) +1 = -1
2 sin (x) = -2
sin ( x) = -1
so therefore we have our final equation
sin ( x ) = - 1 and sin (x) = -1
so then you look in your unit circle and find what coordinate equals -1 in terms of sin x
Answer:
I hope this helps you
Step-by-step explanation:
84-16=68
68-18=50
50-28=22
n=22
equation:84-(16+18+28)