Answer:
It is the branch of math that is in charge of dealing with letters known as variables.
Step-by-step explanation:
These variables are used to fill in the place of missing numbers in an equation or solution.Algebra is widely used all over the world in schools.
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
65.4°
Step-by-step explanation:
According to question
The equation is
Cos(x)=5/12
x=acos(5/12)
x=65.4°
Answer:

Step-by-step explanation:
Given the inequality

First, convert mixed numbers to improper fractions:

Now the inequality looks like

Multiply it by 6:
