Answer:
Step-by-step explanation:
cos theta is 2/3 because cos means reciprocal of sec
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
Since y is less than x by 7 times
so in terms of x we write
x=7y
Answer:
x=0 and y=3
Step-by-step explanation:
If x=0, then we can just plug that value into the other equation and solve for y:
x+4y=12
0+4y=12
4y=12
y=3
Therefore, the solution to the system of equations is x=0 and y=3