Answer:
16
Step-by-step explanation:
In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)
1)1.082*10^9
2)1.496*10^8
3)2.2794*10^8
4)7.784*10^5
5)1.4236*10^9
6)2.867*10^9
7)4.4884*10^9
Hope it helped!
The given equation y = 3x^2+9x is in the form y = ax^2+bx+c
Since a = 3 and b = 9, this means,
h = -b/(2a)
h = -9/(2*3)
h = -9/6
h = -3/2
h = -1.5
is the x coordinate of the vertex (h,k)
As a fraction, the answer is -3/2
In decimal form, that answer is -1.5
(use long division or a calculator to find that -3/2 = -1.5)
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct