By "slope" I assume you mean slope of the tangent line to the parabola.
For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :
The slope at <em>x</em> = 1 is 5:
The slope at <em>x</em> = -1 is -11:
We can already solve for <em>a</em> and <em>b</em> :
Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:
So the parabola has equation
Answer:
<em>Answer: B. 38 mm</em>
Step-by-step explanation:
<u>The Perimeter of a Shape</u>
The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.
The figure shows a shape where all the external measures are given except the leftmost side.
This length is the sum of 3 mm + 10 mm = 13 mm.
Now calculate the perimeter:
P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm
Answer: B. 38 mm
Answer:
0
Step-by-step explanation:
2-2=0
Answer:
D)p is false and q is false.
Step-by-step explanation:
This is the case of the disjunction operator. This operator creates a compound statement that:
1. It's true if either simple statement is true
2. It's false if both simple statements are false.
So p and q are statements and the only way the compound statement is false is when both simple statements are false. For instance:
For:
p: "Peter is home"
q: "Charles is home"
The disjunction would look like these two forms:
p v q
Other form to write this is as follows:
Peter is home OR Charles is home.
So the compound statement is false if both Peter and Charles aren't home.
