Answer:
= 298/11
Step-by-step explanation:
3x + 5y = 2 | ×2 |
2x - 4y = 20 | ×3 |
6x + 10y = 4
6x - 12y = 60
____________--
22y = -56
y = -56/22
y = -28/11
3x + 5y = 2 | ×4 |
2x - 4y = 20 | ×5 |
12x + 20y = 8
10x - 20y = 100
_____________+
22x = 108
x = 108/22
x = 54/11
5x - y
= 5(54/11) - (-28/11)
= 270/11 + 28/11
= 298/11
Answer:
30/5 than simplyply it to 6 0/5
Answer:
x=-1
Step-by-step explanation:
By adding the bottom lines you can get
2x+11 = x+10
Simplifying this gets you
x=-1
Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
Answer:
m < A = 101 degrees.
Step-by-step explanation:
The transverse line crosses 2 parallel lines (opposite angles of a rectangle are parallel) , so the same side angles add up to 180 degrees.
m < A + 79 = 180
m < A = 101 degrees.
