Answer:
~q→~p
Step-by-step explanation:
The contrapositive of a statement is formed by negating the hypothesis and conclusion of a statement and switching them (the hypothesis becomes the conclusion and vice versa).
With this definition we can conclude that the contrapositive of p→q would be ~q→~p
Answer:
(b)
Step-by-step explanation:
Given
![8x + 3y = 24](https://tex.z-dn.net/?f=8x%20%2B%203y%20%3D%2024)
Required
The graph
First, make y the subject
![3y = 24 - 8x](https://tex.z-dn.net/?f=3y%20%3D%2024%20-%208x)
Divide through by 3
![y = 8 - \frac{8}{3}x](https://tex.z-dn.net/?f=y%20%3D%208%20-%20%5Cfrac%7B8%7D%7B3%7Dx)
Let x = 3
![y = 8 - \frac{8}{3}*3 = 8 - 8 = 0](https://tex.z-dn.net/?f=y%20%3D%208%20-%20%5Cfrac%7B8%7D%7B3%7D%2A3%20%3D%208%20-%208%20%3D%200)
Let x = 6
![y = 8 - \frac{8}{3}*6 = 8 - 16 = -8](https://tex.z-dn.net/?f=y%20%3D%208%20-%20%5Cfrac%7B8%7D%7B3%7D%2A6%20%3D%208%20-%2016%20%3D%20-8)
So, we plot the graph through
and ![(6,-8)](https://tex.z-dn.net/?f=%286%2C-8%29)
See attachment for graph
Answer:
37.7 m
Step-by-step explanation:
Use this formula:
A=2πrh+2π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
The circumference of a circle has the formula: 2*pi*r. So, we could easily determine the value of r.
C = 2*pi*r
12*pi = 2*pi*r
12 = 2r
r = 12/2
r = 6 inches
Knowing the r, we could find the area which has the formula
A = pi*r^2
A = pi*6^2
A = 113.1 square inches
Hope this helps!
Answer:
The exact solutions are x = -7.531 and 0.531
Step-by-step explanation:
I graphed this equation on the graph below.
If this answer is correct, please make me Brainliest!