Answer:
Slope = -4
Step-by-step explanation:
Given points are :
(-1,30) and (4, 10)
We need to find the slope of the line that passes through these points.
We know that, the formula for the slope of line is given by :
We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10
Put values in the above formula.
So, the slope of the line is -4.
Answer:
I will try:
Step-by-step explanation:
Note: ∈ means 'belongs to the set of' and <em>R</em> is 'the set of all real numbers'
Inequality:
- Domain is: x ∈ <em>R</em>
- Range is: x ≥ -2
Set:
-Domain is: {x| x ∈ <em>R</em>}
- Range is: {y| y ≥ -2}
Interval:
- Domain is: (-∞,∞)
- Range is: [-2, ∞)
g(x) is stretched by a factor of 4 and translated 2 units down.
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
