Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.
Divide both sides by 2.
The value of a is 2. So the coordinates of triangle ABC are
The area of a triangle is
The area of triangle ABC is
The area of triangle ABC is 102. Therefore the correct option is 1.
<span><span>The first step is to find the vertex. You do this by using the formula </span>
. <span>
Plug in b and a into the equation:
</span>
<span>
You get
</span>
<span>
So, it takes
5.5 seconds to get to
504 feet</span><span>
</span></span>
the circle is 5; the triangle is 2; and the square is 6
Answer:
When y=32, x=16.5
Step-by-step explanation:
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
We are given:
x varies inversely with y
We can write it as: 
We have x = 132, when y=4
We can find value of k by using these values
We need to find x when y=32
So, when y=32, x=16.5
The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
brainly.com/question/11487261
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