Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal =
Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2
Answer:
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches
Step-by-step explanation:
Let
x ----> the original length pf the piece of metal
y ----> the original width pf the piece of metal
we know that
----> equation A
The volume of the box is equal to
we have
substitute in the formula of volume
----> equation B
substitute equation A in equation B
solve for y
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=21
Find the value of x
therefore
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches
If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².
We have the ratio:
Area of the smaler triangle = x
Area of the larger triangle = 567 cm²
Therefore we have the equation: