Answer:
850,000
Step-by-step explanation:
Given:
The dimensions of a rectangle are
and
.
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
![Area=Length\times Width](https://tex.z-dn.net/?f=Area%3DLength%5Ctimes%20Width)
The dimensions of a rectangle are
and
. So, the area of the given rectangle is:
![Area=(2x-5)\times (3x+3)](https://tex.z-dn.net/?f=Area%3D%282x-5%29%5Ctimes%20%283x%2B3%29)
![Area=2x(3x)+2x(3)-5(3x)-5(3)](https://tex.z-dn.net/?f=Area%3D2x%283x%29%2B2x%283%29-5%283x%29-5%283%29)
![Area=6x^2+6x-15x-15](https://tex.z-dn.net/?f=Area%3D6x%5E2%2B6x-15x-15)
![Area=6x^2-9x-15](https://tex.z-dn.net/?f=Area%3D6x%5E2-9x-15)
Therefore, the correct option is F, i.e.,
.
Answer:
y - 8 = -2(x - 9)
Step-by-step explanation:
Given the slope, m = -2, and the point, (9, 8):
Let (x₁, y₁) = (9, 8)
slope (<em>m </em>) = -2
We can substitute these values into the following <u>point-slope form</u>:
y - y₁ = m(x - x₁)
y - 8 = -2(x - 9) ⇒ This is the point-slope form.
Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26