Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>
<u>Substitute values into the formula</u>
<u>Simplify values in the parentheses</u>
<u>Simplify exponents</u>
<u>Simplify by addition</u>
Hope this helps!! :)
Please let me know if you have any questions
All the angles in any triangle add up to make 180°.
Answer:
(-1,-1)
Step-by-step explanation:
Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:
The definition of the piecewise function is given by:
Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.
The lateral limits are:
.
.
The numeric value is:
f(2) = 1.5 x 2 = 3.
Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
More can be learned about the continuity concept at brainly.com/question/24637240
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Answer:
Thx for my points back
Step-by-step explanation:
