From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

Then your expression for this quadratic should be:

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
Answer:
1/2
Step-by-step explanation:
Blue + yellow = 3 + 2 = 5 out of 10 slices
5 out of 10 = 5/10 = 1/2
The pattern is:
( a - b )² = a² - 2 a b + b² ( square of last term of binomial - the missing term)
x² - 2 · 8 · x + 8² = x² - 16 x + 64 = ( x - 8 )²
The missing term is: 64