Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:
The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.
First, find the coordinates of the midpoint M(xm,ym):
Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:
CM=2.5
Now find the distance AB:
AB=5
AB/2=2.5
It's proven CM is half of AB
Hi there!
Let's solve this inequality step by step!
First collect the terms on the left.
In order to solve, we must isolate r. Therefore we need to bring them all to the left. Our next step will therefore be to add 3r to both sides of the equation.
Finally we need to divide both sides of the equation by -1. Because we divide by a negative, the sign flips.
Hence, the answer is r < -3.
~ Hope this helps you!
Simplify the expression and get:
Exact form : 59/24
Decimal form: 2.45833333...
Mixed number form: 2 and 11/24
Hope this helps
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