Answer:
b = 1
Step-by-step explanation:
8 = b - 1 + 8b
<em>combine like terms</em>
8 = 9b - 1
<em>add 1 to both sides of the equation</em>
<em>8 + 1 = 9b - 1 + 1</em>
<em>8 + 1 = 9b</em>
9 = 9b
<em>divide both sides of the equation by 9</em>
9/9 = 9b/9
1 = b
<em />
Answer:
The solution for this system is: 
Step-by-step explanation:
The problem states that we have to solve this system by the elimination method
In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.
In this problem, we have the following system:
If we add equations 1) and 2), the variable x is going to be eliminated
Now, we can replace the value of y in any of the equations, to find x:
I will replace in equation 2)
The solution for this system is:
Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
<u>The altitude or height of the triangle is 6 meters.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Area of a triangle = 60 m²
Base = 20 m
2. What is the altitude (h) of the triangle?
Let's recall that the formula of the area of a triangle is:
Area = (Base * Height)/2
Replacing with the real values, we have:
60 = (20 * Height)/2
60 * 2 = (20 * Height) (Multiplying by 2 at both sides)
120 = 20 Height
Height = 120/20 = 6 meters
<u>The altitude or height of the triangle is 6 meters.</u>
Answer:
the first two answers are perpendicular
