Verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74  = -0.74

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).