Answer:
![x = 4](https://tex.z-dn.net/?f=%20x%20%3D%204%20)
Step-by-step explanation:
Since the diagonals of a parallelogram bisects each other, therefore:
![x + 1 = 2x - 3](https://tex.z-dn.net/?f=%20x%20%2B%201%20%3D%202x%20-%203%20)
Collect like terms
![x - 2x = -1 - 3](https://tex.z-dn.net/?f=%20x%20-%202x%20%3D%20-1%20-%203%20)
![-x = -4](https://tex.z-dn.net/?f=%20-x%20%3D%20-4%20)
Divide both sides by -1
![x = 4](https://tex.z-dn.net/?f=%20x%20%3D%204%20)
Answer:
Newton's third law of motion states that every action has an equal and opposite reaction. In softball when the catcher catches the ball the two forces present are the mitt on the ball and the ball on the mitt. The two are equal and in opposite directions.
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is ![\frac{N+5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BN%2B5%7D%7B2%7D)
The last step is to now make it an equation. Because there are now 46 cards left,
=42.
Now solve for N which is N+5=84=> N=79
brainliest would be appreciated!
Answer:
8.12 is the answer
Step-by-step explanation:
He needs 36 cookies.
First do 20 * .27 for the first twenty
then do 16 * .17 for the other 16 cookies
Add 5.4 + 2.72 = 8.12
Answer:
C. 0
Step-by-step explanation:
The points of intercection between the graph of a quadratic function of the form
are given by the discriminant of the quadratic formula.
Remember that the quadratic formula is:
![x=\frac{-b(+/-)\sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%28%2B%2F-%29%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
The discriminant of he quadratic formula is just the thing inside the radical, in other words:
![discriminant=b^{2} -4ac](https://tex.z-dn.net/?f=discriminant%3Db%5E%7B2%7D%20-4ac)
- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.
- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.
- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.
We can infer form our quadratic that
,
, and
, so let's replace the values in the discriminant:
![discriminant=b^{2} -4ac](https://tex.z-dn.net/?f=discriminant%3Db%5E%7B2%7D%20-4ac)
![discriminant=(-9)^{2} -4(4)(9)](https://tex.z-dn.net/?f=discriminant%3D%28-9%29%5E%7B2%7D%20-4%284%29%289%29)
![discriminant=81-144](https://tex.z-dn.net/?f=discriminant%3D81-144)
![discriminant=81-144](https://tex.z-dn.net/?f=discriminant%3D81-144)
![discriminant=-63](https://tex.z-dn.net/?f=discriminant%3D-63)
Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.