Answer:
The numbers are 11 and 13
Step-by-step explanation:
Let
the first odd whole number=x
Reciprocal=1/x
Second odd whole number=x+2
Reciprocal=1/x+2
The difference
(1/x) - 1/(x+2)=2/143
(x+2)-x / (x)(x+2)=2/143
x+2-x/x(x+2)=2/143
2/x(x+2)=2/143
2(143)=2(x^2+2x)
286=2x^2+4x
2x^2+4x-286=0
x^2+2x-143=0
Solve the quadratic Equation
x=-b +or- √b^2-4ac/2a
a=1
b=2
c=-143
x= -b +or- √b^2-4ac/2a
=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)
= -2 +or- √4-(-572) / 2
= -2 +or- √4+572/2
= -2 +or- √576/2
= -2 +or- 24/2
x= -2+24/2
= 22/2
=11
Or
x= -2-24/2
= -26/2
= -13
Taking the positive value
x=11
The second odd whole number=x+2
=11+2
=13
Answer:
<h3> (x-8)²+(y-3)² = 81</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Answer:
<h2>
39.94 cm</h2>
Solution,
ABCD is a rectangle.
Given,
AC= 64 cm
AB= 50 cm
To find: Value of other side of TV
since, ABCD is a rectangle
<B= 90°
<h3>
Using Pythagorean theorem:</h3>
Hope this helps...
Good luck on your assignment..
Answer:
The answer is 4/3
Step-by-step explanation:
to find this multiply denominator of the fraction (3) by the whole number,e.t.c.
