Step-by-step explanation:
<h2>n=-2 , q=1</h2>
<h2>then, </h2>
<em>(</em><em>1</em><em>)</em><em> </em><em>n-q</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>-</em><em>2</em><em>-</em><em>1</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>-</em><em>3</em>
<em>(</em><em>2</em><em>)</em><em> </em><em>q-n</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>1</em><em>-</em><em>(</em><em>-</em><em>2</em><em>)</em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>1</em><em>+</em><em>2</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>3</em>
<em>(</em><em>3</em><em>)</em><em> </em><em>n</em><em>=</em><em>?</em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>n</em><em>=</em><em>-</em><em>2</em><em>.</em>
Use this app (Ma th way ) it will help you
G(9,-3) being dilated by a scale factor of 1/3 is G'(3,-1) so D. All I did was divide the coordinates by 3 and there you go.
Answer:
y=40
Step-by-step explanation:
If y varies jointly as a and b
y∝ab
If y varies inversely as the square root of c
y∝![\frac{1}{\sqrt{c} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bc%7D%20%7D)
Combining the two
y∝![\frac{ab}{\sqrt{c} }](https://tex.z-dn.net/?f=%5Cfrac%7Bab%7D%7B%5Csqrt%7Bc%7D%20%7D)
Introducing Variation Constant
![y=\dfrac{kab}{\sqrt{c} }](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7Bkab%7D%7B%5Csqrt%7Bc%7D%20%7D)
y=16, When a=4, b=5, c=25
![16=\dfrac{k*4*5}{\sqrt{25} }\\16=\dfrac{20k}{5}\\20k=16*5\\20k=80\\k=4](https://tex.z-dn.net/?f=16%3D%5Cdfrac%7Bk%2A4%2A5%7D%7B%5Csqrt%7B25%7D%20%7D%5C%5C16%3D%5Cdfrac%7B20k%7D%7B5%7D%5C%5C20k%3D16%2A5%5C%5C20k%3D80%5C%5Ck%3D4)
Therefore the equation connecting a. b and c is:
![y=\dfrac{4ab}{\sqrt{c} }](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4ab%7D%7B%5Csqrt%7Bc%7D%20%7D)
We are to determine y when a=5, b=4 and c=4
![y=\dfrac{4*5*4}{\sqrt{4} }\\y=\dfrac{80}{2 }\\y=40](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%2A5%2A4%7D%7B%5Csqrt%7B4%7D%20%7D%5C%5Cy%3D%5Cdfrac%7B80%7D%7B2%20%7D%5C%5Cy%3D40)
Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.