Answer:
To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)
28 = 2 x 2 x 7
42 = 2 x 3 x 7
The HCF of 28 and 42 is given by 2 x 7 = 14
Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)
ANSWER
y varies inversely as x exponent 4.
EXPLANATION
The inverse variation equation is given as:

We can see that there is an inverse relation between the quantity y and x.
If the it were
, we say y varies inversely as the square of x.
Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.
Answer:

Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:

Now that we have our equation, let's distribute the
and the
into the parentheses they are next to:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

~
Check your work by substituting
into one of the equations above:



It's correct!
Hello!
First of all, 6 and 10 are not prime numbers as they both have at least two pairs of factors (one factor pair plus one and itself).
Anything multiplied by two is even. Therefore, a) 2 counterexamples the statement. Just to show why 7 doesn't work, seven multiplied by 3 is 21, which is odd, and 7 times 7 is 49, and 7 times 5 is 35 (all prime multipliers). The only one that works is two.
I hope this helps!
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