Answer:
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c = 27ft
Step-by-step explanation:
Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides
Let c be the missing sides
According to the cosine rule;
c² = a²+ b² - 2abcosC
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c² = 9 + 36 - 36cos60
c² = 45 - 36cos60
c² = 45 - 36(0.5)
c² = 45 - 18
c² = 27ft
Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60
Multiply first equaton by 2 and add to the other equation
6x+6y=12
<u>5x-6y=15 +</u>
11x+0y=27
11x=27
divide both sides by 11
x=27/11
sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus 2 and 5/11 both sides
y=-5/11
x=27/11
y=-5/11
(27/11,-5/11)
Answer:
fourth option
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Thus
f(x) = (x - 11)³ ← has been translated right by 11 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
f(x) = (x - 11)³ + 4
represents a translation 11 units right and 4 units up
5x+4y = 73
-4x + 4y = -8
5x + 4y -(-4x+4y) = 73 -(-8)
5x + 4y + 4x - 4y = 81
5x + 4x + 4y - 4y = 81
9x = 81
x = 81÷9
x = 9
Substitute x = 9 into any of the equations to find y.
5(9) + 4y = 73
45 + 4y = 73
4y = 73 - 45
4y = 28
y = 28÷4
y=7
Answers :
x = 9
y = 7
