Answer:
ratio = 4
Step-by-step explanation:
According to the given table:
• the number of days with no fire incidents
= 16
• the number of days with more than 5 fire incidents
= 2 + 2
= 4
<u><em>Conclusion</em></u> :
the ratio of the number of days with no fire incidents
to the number of days with more than 5 fire incidents is :
16 to 4 (16 : 4)
Then
The ratio = 4
I am going to explain this using the substitution method, considering it appears to be the best in this situation.
We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:
3x+20=x^2+2x
Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you
x+20=x^2
Now, we take the square root of both sides to get
rad(x+20)=x
Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes
2rad(x+5)
This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
Answer:
When the circle A moves horizontally to left of y-axis, it changes the value of C in the equation.
Step-by-step explanation:
Given is the equation of a circle A as follows:-
x^2+y^2+Cx+Dy+E=0
We see the coefficients of x^2 and y^2 terms are 1 each. It means we can find the center of the circle from the equation itself as follows:-
Coordinates of center of circle A: (-C/2 , -D/2)
When they move the circle <u>horizontally to the left of the y-axis</u>, without changing its radius, the x-coordinate of the center (i.e. -c/2) in the circle A will change accordingly. <u>And y-coordinate remains unchanged.</u>
So when we move the circle horizontally to the left of y-axis, it changes the value of C in the equation of circle.
Answer: x=2.33
Step-by-step explanation:
5(x-3)-4(x+2)=2+3(1-2x)
Open the brackets
5x -15 - 4x -8 = 5 (1- 2x)
5x -15 - 4x -8 = 5 - 10x
Combine like terms
6x - 4x + 10x = 15 + 8 +5
12x = 28
Divide both sides by 12
x = 28/12
x= 2.33
I hope this helps.