Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again:
Line m has a slope of 2/5 line n is parallel to line m what is the slope of the line n
1 answer:
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Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point :
So, (15, 0) satisfies all the inequalities
For point :
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in
which is false
So,
In this problem, we need to plug in the given x values for 
and find a and b.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are
and 
.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are