Answer:
C) The area of the landscape model is A = 40 sq ft.
Step-by-step explanation:
The original dimensions of the rectangular patio model is
Length = L
Width = W
Area of the patio model = LENGTH x WIDTH = L x W
⇒ A = L W ............. (1)
Now, the new area A" is enlarged by a factor of 2
⇒ The new Length = L" = (2 L)
The new Width = W" = (2 W)
So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)
⇒ A " = 4 (L W)
But, L W = A .. from (1)
⇒ A" = 4 A
But, the area of the new enlarged patio is 160 square feet.
⇒ 160 sq ft = 4 x A
or, A = 160 / 4 =40 sq ft
⇒ A = 40 sq ft.
Hence, the area of the landscape model is A = 40 sq ft.
Answer:
14
Step-by-step explanation:
Order of operations rules require that we do any work inside parentheses first. Thus,
–(31 + 2) + 72 – (–5)^2
becomes:
-33 + 72 - 25, or
14
Important: Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.
Answer:
x = 2
Step-by-step explanation:
4(2x - 1) = 3x + 6
Simplify
8x - 4 = 3x + 6
Subtract 3x from both sides
8x - 3x - 4 = 3x - 3x + 6
5x - 4 = 6
Add 4 to both sides
5x - 4 + 4 = 6 + 4
5x = 10
Divide both sides by 5
5x/5 = 10/5
x = 2
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

So the slope is:

Thus, the equation of the line is of the form:

We substitute one of the points and find "b":

Finally, the equation is:

Answer:

Answer:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is
⇒ C
Step-by-step explanation:
The formula of the slope of a line passes through points
and 
is 
∵ The line passes through points (5 , 0) and (6 , -6)
∴
= 5 and
= 6
∴
= 0 and
= -6
Substitute these values in the formula of the slope
∵ 
∴ 
Let us look to the answer and find the same formula
The answer is:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is 