9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (9, 6 )
m = 
=
Answer:
Step-by-step explanation:
Let the length of rectangle A be x units.
So, length of rectangle B
= x + 25% of x
= x + 0.25x
= 1.25x
Let the width of rectangle A be y units
So, Width of rectangle B
Area of rectangle A = xy
Area of rectangle B
= 1.25x * 0.6y
= 0.75xy
Answer:
Volume = 120 cubic cm
Step-by-step explanation:
We would apply the formula for determining the volume of a square bases pyramid which is expressed as
Volume = 1/3 x base area x height
From the diagram,
length of square base = 6 cm
The base area = 6^2 = 36
height = 10
Thus,
Volume = 1/3 x 3/6 x 10
Volume = 120 cubic cm
I hope this help you! :)
