Answer:
The leg is 8 cm long
Step-by-step explanation:
An isosceles right triangle has the length of its hypotenuse and opposite equal
Let us call the length x
From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have ;
x^2 + x^2 = (8 √2)^2
2x^2 = 128
x^2 = 128/2
x^2 = 64
x= √64
x = 8 cm
5.5x Scale
22/4=5.5
She drew the butterfly 5.5 times bigger than it is in real life.
-2(x - 5) + 4(9 + x)
-2x + 10 + 36 + 4x
=2x + 46
If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.
Thus, the polynomial will have form
where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.
The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).