Answer:
B
Because the right side is double the number on the left
The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.
Look at the point's x and y coordinates:
First point:
x = -5, y = 6
Second point:
x = 5, y = 6
You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.
To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:
5 - (-5) = 5 + 5 = 10
The answer will be the following statement:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
Answer: It is 2.
Step-by-step explanation:
Make both equation equal to each other and solve for x, as following:
- Add like terms.
- Factor the equation.
![8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2](https://tex.z-dn.net/?f=8x-14%3Dx%5E%7B2%7D%2B4x-10%5C%5Cx%5E%7B2%7D%2B4x-10-8x%2B14%3D0%5C%5Cx%5E2-4x%2B4%3D0%5C%5C%28x-2%29%28x-2%29%3D0%5C%5C%28x-2%29%5E2%3D0%5C%5Cx%3D2)
Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.
Then, this is:
![y=8(2)-14\\y=16-14\\y=2](https://tex.z-dn.net/?f=y%3D8%282%29-14%5C%5Cy%3D16-14%5C%5Cy%3D2)
If it is, then you can solve the equation by taking the square root of both sides of the equation. ... Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation
Answer:
The total number of pencils that Mr. Moretti gives to his is 162.
Step-by-step explanation:
He puts 3 mechanincal pencils in each bag.
In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.
So in each bag, 3 + 6 = 9 pencils.
What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?
18 students, and each gets 9 pencils.
18*9 = 162
The total number of pencils that Mr. Moretti gives to his is 162.