Step-by-step explanation:
sin 0 = opposite ÷ hypothenus
sin 0 = 3 / 5
3 / 5 = x / 15
5 × n = 15
n = 3
x = 3 × 3 = 9
y = use pythagoras
= 12
tan 0 = opposite ÷ adjacent
tan 0 = 9/12
For perpendicular lines, m2 = -1/m1; where m1 is the slope of line 1 and m2 is the slope of line 2.
m1 = (-4 - 2)/(4 - 2) = -6/2 = -3
m2 = -1/-3 = 1/3
Equation of the required line is given by: y - 4 = 1/3 (x - (-1))
y - 4 = 1/3 x + 1/3
y = 1/3 x + 1/3 + 4
y = 1/3 x + 13/3
Answer:
A and B
Step-by-step explanation:
Since these both only have one term and number/variable, making it a monomial.
<span>Twice the sum of a number and 3 = 2(n + 3)
</span><span>three times the difference of the number and 3 = 3(n - 3)
so
</span><span>Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
</span>2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15
answer
2(n + 3) = 3(n - 3)
n = 15
