He made a mistake in step #2. It seemed to be a trivial mistake because it involved signs, but it still had a great impact. Since step#2, his solution was already wrong.
Instead of
(-1)²-4(2)(-6) = 1 + 48 = 49
What he did is
(-1)²-4(2)(-6) = -1 + 48 = 47
Ok
Probability (the point will be on unshaded part) = area of unshaded part / area of the circle.
= pi r^2 - s^2
-------------- where r = radius of circle and s = length of the side of the square.
pi r^2
First, you should combine the x terms:
-3x - 7 = 29
Then, get rid of the negative 7, by adding 7 to both sides.
-3x = 22
Finally divide 22 by -3, to solve for x.
x = -22/3 or -7.33
In trigonometry, the right triangle is considered a special triangle because there are derived equations solely for this type. It is really convenient when dealing right triangle problems because it is more simplified courtesy of the Pythagorean theorems. It is derived that the square of the hypotenuse (longest side of the triangle) is equal to the sum of the squares of the other two legs. In equation, that would be c² = a² + b². For this activity, all you have to do is find the sum of the squares in columns a and b. Then, see if this is equal to the square of the values in column c. Let's calculate each row:
Row 1:
3² + 4² ? 5²
25 ? 25
25 = 25
Row 2:
5² + 12² ? 13²
169 ? 169
169 = 169
Row 3:
9² + 12² ? 15²
225 ? 225
225 = 225
Therefore, all of the given values conform to a² + b² = c².
Answer:
70. 0
71. -54
72. 12
73. 86
74. 59
Step-by-step explanation:
To evaluate an expression, substitute specific values for the variables and simplify using Order of Operations.
70. c-3d becomes
71. 
becomes
72. 
becomes
73. 
becomes
74. becomes
