Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
Think about it if you have 3 muffins answer 1/6 of them subtract 6 with 1 then put it over 6. So the answer would be 5/6.
Answer:
1. 3/4
2. 3/4
3. tan(X) = tan (A)
Step-by-step explanation:
Let a, b, and c be the length of 3 corresponding sides of the triangle. The following inequality must always be true since they form a triangle :
![a+b>c](https://tex.z-dn.net/?f=a%2Bb%3Ec)
(This inequality says that the sum of two sides must always be greater than the other side)
Let's use this inequality for x, 1.3, and 4.1
![x+1.3>4.1](https://tex.z-dn.net/?f=x%2B1.3%3E4.1)
(The reason why 1.3 is on the left side is because it is the smaller side)
Subtract both sides by 1.3
![x>2.8](https://tex.z-dn.net/?f=x%3E2.8)
x must always be greater than 2.8. Now, let's see what value x must be always less than.
![1.3+4.1>x](https://tex.z-dn.net/?f=1.3%2B4.1%3Ex)
![5.4>x](https://tex.z-dn.net/?f=5.4%3Ex)
x must be always less than 5.4. Let's combine both statements for x and we get:
![2.8](https://tex.z-dn.net/?f=2.8%3Cx%3C5.4)
These are the only values of x that will make it possible for these sides to form a proper triangle.
Let me know if you need any clarifications, thanks!
~ Padoru
Each is a collection of points. These four building blocks of geometry, points, lines, planes, and space, form the basis for all of the geometry you will study in this guide. It is important to understand their properties fully.