Answer:
2nd option
Step-by-step explanation:
Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )
- 3 → 3 is 6 units right in the positive x-direction
3 → - 1 is 4 units down in the negative y- direction
Then translation rule is
(x, y ) → (x + 6, y - 4 )
We know that an isosceles triangle has 2 equal sides.
We can represent the equal sides with x, and the base with y:
2x + y = 15.6
Given states that y = x - 3, so:
2x + x - 3 = 15.6
3x = 18.6
x = 6.2
y = 3.2
The sides are 6.2 m, and the base is 3.2 m.
The nth term of the sequence is 2n - 8
<h3>Equation of a function</h3>
The nth term of an arithmetic progression is expressed as;
Tn = a + (n - 1)d
where
a is the first term
d is the common difference
n is the number of terms
Given the following parameters
a = f(1)=−6
f(2) = −4
Determine the common difference
d = f(2) - f(1)
d = -4 - (-6)
d = -4 + 6
d = 2
Determine the nth term of the sequence
Tn = -6 + (n -1)(2)
Tn = -6+2n-2
Tn = 2n - 8
Hence the nth term of the sequence is 2n - 8
Learn more on nth term of an AP here: brainly.com/question/19296260
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Step-by-step explanation:
2 days=22 sit ups
1 day=22/2 sit ups
6 days=22/2×6 sit ups
=66 sit ups
Answer:
56/65.
Step-by-step explanation:
By Pythagoras AB = √(5^2 + 12^2) = √169 = 13.
and AC = √(12^2 + 9^2) = √225 = 15.
sin BAC = sin (BAD + CAD) = sin BAD cos CAD + cos BAD sin CAD.
= 5/13 * 12/15 + 12/13 * 9/15
= 60/195 + 108/195
= 168/195
= 56/65.
