Slope formula: y2 - y1 ÷ x2 - x1
Let's label the points. (82[x1], -96[y1]) (87[x2], -86[y2])
-86 - -96 would turn into -86 + 96, coming out to 10.
87 - 82 = 5.
10/5 would be the unsimplified slope.
Divide both numbers by 5, and you get 2/1.
2/1 simplifies to 2 because two divided by one equals two, as one can go into two twice.
Slope line in simlified form: 2
Answer:
(1,-2)
Step-by-step explanation:
You minus 2 from the x, and add 2 units to the y
The area of the shaded region is going to be the area of the rectangle minus the area of the square.
Area of a rectangle is L * W.
A = L * W
A = (x + 10)(2x + 5)
A = x(2x + 5) + 10(2x + 5)
A = 2x^2 + 5x + 20x + 50
A = 2x^2 + 25x + 50 .....this is the area of the rectangle
area of a square is : A = a^2...where a is one side
A = (x + 1)^2
A = (x + 1)(x + 1)
A = x(x + 1) + 1(x + 1)
A = x^2 + x + x + 1
A = x^2 + 2x + 1
now we subtract the area of the square from the area of the rectangle to get the area of the shaded region.
2x^2 + 25x + 50 - (x^2 + 2x + 1) =
2x^2 + 25x + 50 - x^2 - 2x - 1 =
x^2 + 23x + 49 <== the area of the shaded region
The equation according to the given verbal sentence is
(after solving this
).
<u>Step-by-step explanation:</u>
Rewrite the given verbal sentence and so it will be easier to translate.
Given: The quotient of the sum of 2 t and 2 and twice the cube of s
sum of 2 t and 2 can be written as
2 t + 2
twice the cube of s

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,
2 t + 2 divided by 
Now, the equation would be 
When solving this equation, we get

Formulas tab > in the Function Library group, click Lookup & Reference button, select VLOOKUP. Type A3 in the Lookup_value argument box. Type Abbreviation in the Table_array argument box. Type 2 in the Col_num argument box. Type False in the Rang_lookup box. Click OK, is this what you were looking for?