Answer:
n = -45
Step-by-step explanation:
(n-5) /10 = -5
Multiply each side by 10
(n-5) /10 *10= -5*10
n-5 = -50
Add 5 to each side
n-5+5 = -50+5
n = -45
Answer:
N-K = 6-3 which equals 3.
Step-by-step explanation:
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
x = 8, y = 0
y=
x-4
y=-
x+2
We substitute y=x-4 into the y for y=-x+2, and we get:
x-4 = -x+2
+x +x
x -4 = 2
+4 +4
x = 6
(4)x = 6 (4)
The 4's cross out and we get:
3x = 24
/3 /3
x=8
Not we substitute x(8) into one of our original equations: y=x-4
y=x-4
y=(8)-4
y=4-4
y-0
We get our final answer: (8,0)
Hope that helps!
The clues translate to
n/d = 2/3
(n+2)/(d+2) = 3/4
Solving this by cross multiplying both:
3n = 2d
3(d+2) = 4(n+2) => 3d + 6 = 4n + 8
then substituting d = 3/2 n in the second:
9/2n - 4n = 2 => 1/2 n = 2 => n = 4
if n=4 then d = 3/2*4 = 6.
So the original fraction was 4/6
