ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.
to rationalize the radical
Thus, each leg is 5\sqrt{2} [/tex].
Answer:
(- 5, - 28 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 10x
f(x) = x² + 2(5)x + 25 - 25 - 3
= (x + 5)² - 28 ← in vertex form
with (h, k) = (- 5, - 28)
Vertex = (- 5, - 28 )
Answer:
12 + 12 = 24
Step-by-step explanation:
P = 2L + 2W
P = 2*16 + 2W
P = 56
56 = 32 + 2W Subtract 32 from both sides
56 - 32 = 2W
24 = 2W Divide by 2
24/2 = 2W/2
12 = W
The answer you want is 2 * 12 = 24
Answer:
Step-by-step explanation:
1 
---------> 
3 
---------> 
(multiply by 
) -----------> 
