Answer:
see explanation
Step-by-step explanation:
Given
(2m + 5n)² = (2m + 5n)(2m + 5n)
Each term in the second factor is multiplied by each term in the first factor, that is
2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis
= 4m² + 10mn + 10mn + 25n² ← collect like terms
= 4m² + 20mn + 25n² ← perfect square trinomial
Answer:
Step-by-step explanation:

= 105.57
= 105.6 cm²
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

Answer:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept: (−
45
,
0
)
y-intercept: (
0
,
−
15
)
Step-by-step explanation:
perimeter=4×6-1/4 ×2π×3=24-1/2×3.14×3=24-4.71=19.29cm