I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± <span>√ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 </span>± <span>√13^2 - 4(2)(-24) / 2(2)
x= -13 </span><span>± √169 - 8 (-24) / 4</span>
<span>x= -13 <span>± √169 + 192 / 4</span>
x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2
x = -8, 3/2</span>
Answer:
We have been given that PQ bisects . In the second statement of the given two-column proof, the statement is .
This implies that the two angles formed by bisection of angle by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.
Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect
Step-by-step explanation:
Answer:
<em>Both players will need to play 7 more games to have the same score.</em>
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
Answer:
John has 9 baseball cards.
Step-by-step explanation:
To start off, we want to find the highest product of 12 without going over 117. Lets try out some problems...
What about 12x10? Well that equals 120 and since it goes over 117 that won't work.
What about 12x9? That equals 108. This is below 117. Since we know that Cara has 12 times more baseball cards than John has, we simply add 9 to 108 and it gives us 117 total baseball cards.
This means, John has 9 baseball cards.
As the spinner is spun twice the order pairs which have a product less than 14 and contain at least one odd number are ( 2,3), ( 2,5), ( 3,2), ( 3,3), ( 5,2)
= 5 order pairs
Option B is correct
Note: see the attached image to comprehend how we find order pair( for beginner <span />
