An isosceles triangle has two sides of equal length, a, and a base, b. the perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7. which lengths make sense for possible values of b? check all that apply. –2 in. 0 in. 0.5 in. 2 in. 7.9 in.

If you take b = 0  there is no triangle.

b = -2in makes no sense.

b = 0.5 in, 2 in and 7.9 in makes sense But if b = 7.9 in there exist some problem.

Calculating the height h, you must to divide the side b, and draw the corresponding segment.

You have two internal triangles,  you obtain h by the Pitagora's theorem.

Clearly makes no sense.

Note 3.9 is the value of the side a  solving the relation in the text.

So, the possible values are 0.5 in and 2 in

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)