4. what is the unknown number in sequence
2 in the chart?
sequence
1 2 3 5 7
number
sequence 1 3 6 9 15 21
sequence 2 15 30 45 75 ?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

step-by-step explanation:

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: