Factor w2 + 8w + 16, if possible. if the polynomial is prime, say sofactor 3y2 + 10y + 7, using the ac method. if the polynomial is prime, say so.

when we compare the given equation to

a=1, b=8,c=16

So, ac=1*16=16 and b=8

We need factor pair of ac, 16, which sum upto b, 8.

As, 4*4=16 and 4+4=8

4 and 4 are required factor pair.

So,=

when we compare the given equation to

a=3, b=10,c=7

So, ac=3*7=21 and b=10

We need factor pair of ac, 21, which sum upto b, 10.

As, 3*7=21 and 3+7=10

3 and 7 are required factor pair.

=

the answer is 45 i just did it on oddesy ware

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).