Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-9, -10)
Point (-2, -5)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add:
And we have our final answer!
Answer:
The ordered pair is not a solution of the equation
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation
we have
Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results
For x=-1, y=15
----> is not true
so
the ordered pair not satisfy the equation
therefore
The ordered pair is not a solution of the equation
The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614
Final Answer: x is around 75 yards</span>
