Answer:
So the slope of this function is
and the y-intercept is ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
A first order function has the following format:
![y = ax + b](https://tex.z-dn.net/?f=y%20%3D%20ax%20%2B%20b)
In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.
We have the following equation:
![-x + 2y = 3](https://tex.z-dn.net/?f=-x%20%2B%202y%20%3D%203)
We just have to rewrite this equation
![2y = x + 3](https://tex.z-dn.net/?f=2y%20%3D%20x%20%2B%203)
![y = \frac{x+3}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%2B3%7D%7B2%7D)
![y = \frac{x}{2} + \frac{3}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20%2B%20%5Cfrac%7B3%7D%7B2%7D)
Which means that
![a = \frac{1}{2}, b = \frac{3}{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2C%20b%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
So the slope of this function is
and the y-intercept is ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Answer:
B
Step-by-step explanation:
<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.
For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.
Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).
Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.
Option B is true according to definition.
Answer:
x = 7 hope this helps !!!
Step-by-step explanation:
Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.
Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.
Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.
this is a type 3 triangle, and you can find the length of y from it, it being 14, and x is half of y, being 7
Answer:
x=30
(Option 2)
Step-by-step explanation:
Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30
Answer:
You don't need to know anything other than that two angles and a side are exactly the same.