I believe it is A and Yes
The bigger the price is on an item, the more tax you would have to pay, so both numbers increase. As for whether or not there is a line through the dots, you use a line when you could go inbetween the points. For example, with this question you can have 0.24, 0.86, or any other number as the price and it would make sense. If the question was sales tax on a certain number of shirts, well, you can't buy half a shirt so you don't need anywhere inbetween the dots.
Proportional in these kinds of problems means whether or not the line curves. If it doesn't and is a straight line, then it is proportional.
Perimeter of a rectangle = 6x + 8
Solution:
Given area of a rectangle = ![2x^2+7x+3](https://tex.z-dn.net/?f=2x%5E2%2B7x%2B3)
Let us first factor the given polynomial.
![2x^2+7x+3=2x^2+x+6x+3](https://tex.z-dn.net/?f=2x%5E2%2B7x%2B3%3D2x%5E2%2Bx%2B6x%2B3)
![=(2x^2+x)+(6x+3)](https://tex.z-dn.net/?f=%3D%282x%5E2%2Bx%29%2B%286x%2B3%29)
Taking out common terms in the above expression
Taking out common term
in the above expression
![=(2x+1)(x+3)](https://tex.z-dn.net/?f=%3D%282x%2B1%29%28x%2B3%29)
![2x^2+7x+3=(2x+1)(x+3)](https://tex.z-dn.net/?f=2x%5E2%2B7x%2B3%3D%282x%2B1%29%28x%2B3%29)
Area of a rectangle = l × b
Therefore,
and ![b=x+3](https://tex.z-dn.net/?f=b%3Dx%2B3)
Perimeter of a rectangle = 2(l + b)
![=2[(2x+1)+(x+3)]](https://tex.z-dn.net/?f=%3D2%5B%282x%2B1%29%2B%28x%2B3%29%5D)
![=2(2x+1+x+3)](https://tex.z-dn.net/?f=%3D2%282x%2B1%2Bx%2B3%29)
![=2(3x+4)](https://tex.z-dn.net/?f=%3D2%283x%2B4%29)
![=6x+8](https://tex.z-dn.net/?f=%3D6x%2B8)
The answer is same if you take <em>l</em> = x + 3 and <em>b</em> = 2x + 1.
Hence, perimeter of a rectangle = 6x + 8.
Standard form is 79,031
expanded form is 70,000 + 9,000 + 30 + 1
it d turst me it right or the bottem one
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.