Answer:
The slope is -3/2
Step-by-step explanation:
<u>A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.
</u>
Example: Find the line perpendicular to y = 3x
First, you flip the sign which makes 3 into -3
Next, you make the reciprocal which makes -3 into <u>-1/3
</u>
Problem: Find the line perpendicular to y = (2/3)x + 7
First, you flip the sign which makes 2/3 into -2/3
Next, you make the reciprocal which makes -2/3 into <u>-3/2</u>
Answer: The slope is -3/2
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
<h2>
Answer:</h2>
Around 57%
<h3><u>
Step-by-step explanation:</u></h3>
17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
<em>Estimate:</em> 57%