Factor the trinomial below.
x^2-5x-14
a. (x-2)(x-7)
b. (x+2)(x-7)
c. (x+2)(x+7)
d. (x-2)(x+7)

The factored form is

Step-by-step explanation:

Given the trinomial

we have to factor the above trinomial.

By middle term splitting method

Taking x common from first two terms and 2 from last two terms

which are required factors.

Hence, option B is correct.

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

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).