Answer:
4w+3
Step-by-step explanation:
2/3(7w+4)-1/3(2w-1)
14/3w+8/3-2/3w+1/3
14/3w-2/3w+8/3+1/3
12/3w+9/3
4w+3
Answer:
y=1.5x+1; x= -0.6
y= -0.25x-6; x= -24
Step-by-step explanation:
y=1.5x+1
0=1.5x+1 (To find x-intercept/xero, substitute y=0)
-1.5x=1
x= -2/3 or x= -0.6
y= -0.25x-6
0= -0.25x-6
0.25x= -6 (Move variables to the left-hand side and change its sign)
x= -24
Answer:
Step-by-step explanation:
If the side lengths of the rectangle are 3 and 12, then the area, length times width, is 36.
If the area of the square is equivalent to the area of the rectangle, then
which is the formula for the area of a square. Take the square root of 36 to get that each side of the square is 6 inches long.
Since a square has 4 sides, we get that the perimeter of that square is 4 * 6 which is 24 inches.
Answer:
13.98 degrees
Step-by-step explanation:
Let the airplane be at point A, the airport at point B and the point of overshoot, point C.
If the plane is on path AC and the pilot wants to adjust to the path AB, the angle by which the pilot will adjust the airplane heading is the angle between AB and AC which is A.
Using Cosine Rule
The pilot should adjust the plane's heading by 13.98 degrees.
Answer:
(y+2) = (1/3)(x-1)
Answer in point-slope form, you can rearrange this into the form which you need.
Step-by-step explanation:
recall that the general point-slope form of a linear equation looks like :
(y - y₁) = m(x - x₁)
where m is the slope and (x₁,y₁) is any point on the line
here we are given m = 1/3 and (x₁,y₁)=(1,-2)
simply substitute this info into the general equation above
(y - y₁) = m(x - x₁)
(y - (-2) ) = (1/3)(x - 1)
(y+2) = (1/3)(x-1) Answer in point-slope form, you can rearrange this into the form which you need.