<span>Let x = 0.5333333333 ...
So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.
So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.
So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
Answer:
p = 4
Step-by-step explanation:
Given equation:

<u>Standard equation of a circle:</u>

(where
is the centre of the circle, and
is the radius)
If you expand this equation, you will see that the coefficient of
is always one.
Therefore, 

<u>Additional information</u>
To rewrite the given equation in the standard form:





So this is a circle with centre (2, -3) and radius √29
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
Solve (2x - 1)(3x^2 - 9x - 4)
=
<span>Because the closest square number is 5 which results in 52=25 therefor you cannot get the perfect square of 24</span>