Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m
x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24
Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30
Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
The height of the cone is 4 cm (approx).
Step-by-step explanation:
Given,
The radius (r) of the cone = 4.96 cm
Volume (V) = 102 cm³
To find the height (h) of the cone.
Formula
The volume of a cone V =
πr²h
Now,
According to the problem,
πr²h = 102
or,
×
×(4.96)²h= 102
or, h = 
or, h = 3.95 = 4 (approx)
so,
Height = 4 cm (approx)
The product of two integers is an integer; the difference of two integers is an integer; a rational is defined as one integer divided by another non-zero integer.<span>
the diference of two numbers is always rational</span>