Answer:
A
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = product of diagonals
Here AC = 13 and BD = 15 are the diagonals, hence
A = 0.5 × 13 × 15 = 97.5 units² → A
(x-1)(x+6)
⇒ x²+6x-1x-6
⇒ x²+5x-6
We are given equation: y=ln(x) .
And translation is 5 units down.
We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.
For the given translation 5 unit down, 5 should be less than 0.
Number less than 0 are negative numbers.
So, we need to add -5 in the given function to ln(x).
So, we would get the final equation for five units down as
y =ln(x) - 5.
Lemma says :
To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid’s division algorithm. HCF is the largest number which exactly divides two or more positive integers. By exactly we mean that on dividing both the integers a and b the remainder is zero.
Given : 135 and 225
Here, 225>135.
So, we will divide greater number by smaller number.
Dividing 225 by 135.
The quotient is 1 and remainder is 90.
225=135×1+90
Divide 135 by 90
The quotient is 1 and remainder is 45.
135=90×1+45
Divide 90 by 45.
The quotient is 2 and remainder is 0.
90=2×45+0
Thus, the HCF is 45.