What is this 5n+6+(−7n)

-2n+6

Step-by-step explanation:

5n+6+(-7n)

5n+6-7n

5n-7n+6

-2n+6

Hope this helps ;) ❤❤❤

-2n + 6

Step-by-step explanation:

Combine like terms (terms with the same amount of variables).

Note the laws of signs:

Two additions signs: If there are two addition signs directly next to each other (which will not be shown very much), it means to add.

One addition sign & One negative sign: If there is one of each signs directly next to each other (as shown here), you must default it to negative and subtract.

Two negative signs: If there are two negative signs directly next to each other, you must default it to positive and add.

First, change the expression to signify how you should combine the terms:

5n + 6 + (-7n) = 5n - 7n + 6

Combine like terms:

(5n - 7n) + 6

-2n + 6

-2n + 6 is your answer.

~

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).