Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)

![= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10-%5B-2%5D%7D%7B3-%5B-1%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B10%2B2%7D%7B3%2B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B12%7D%7B4%7D%5C%5C%5C%5C%3D4)
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is

If we are looking for x when f(x) = 64, then

Take the natural log of both sides:

The rules of logs allows us to bring the x down in front:

Divide both sides by ln(2) to get:

Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
The equation of an ellipse is x²/a² + y²/b² =1
a being the distance between the center & x intercept =7
b being the distance between the center & y intercept =5
Hence the equation of this ellipse is:
x²/49 + y²/25 =1
Multiply everything by 4 so you get rid of the fraction
I am guessing it is a rectangular room...
so a 5 x 3 1/4 meter room
The area of a rectangle is length * width
A = l * w
plug in the known
A = 5 * 3 1/4
A = 16.25, or 16 1/4
The area of Slater's?, or Slader's?, room is 16.25 meters^2
Hope this helps