Step-by-step explanation:
Answer:
1. 9 < s < 17
2. 5 < MN < 19
3. AD > BD
Step-by-step explanation:
1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:
- the sum of the shortest two sides is greater than the length of the longest side
- the length of any side lies between the sum and the difference of the other two sides
Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...
9 < s < 17
(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)
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2. Same as (1) using different numbers.
12 -7 < MN < 12 +7
5 < MN < 19
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3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:
AD > BD
First multiply 4 so x is on its own.
5/9 multiplied by 4/1 is 20/9.
20/9 simplifies to 2 and 2/9.
x = 2 and 2/9
Hope this helped, and please mark brainliest! :)
Answer:
B
Step-by-step explanation:
Let divide g(x) by f(x)
The domain of a rational function cannot equal zero so let set the bottom function to zero.
Square both sides
Also we can simplify the bottom denomiator into a square root function
The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.
So we must find a answer that
- Disincludes 4 from the interval
- Doesnt range in the negative number or infinity)
- Range out in positve infinity
- The answer to that is B
Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Using the points (0, 1) and (2, 7), hence for Kevin:
y - 1 = [(7 - 1)/(2 - 0)](x - 0)
y = 3x + 1
Jill’s function has a y-intercept that is 2 less than the y-intercept, hence b = 1 - 2 = -1
Jill function is:
y = 3x - 1
Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1
Find out more on Linear equation at: brainly.com/question/13763238
