Im gonna go with letter C. The arrows wouldnt need to be pointing back because its not negative.
Answer: three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:
- 66%, 69%, 72%;
- 63%, 65%, 67%, and
- 67%, 72%, 77%
Explanation:
1) The program recommends a constant intensity for 3 visits, which is what the table shows:
Day Intensisty
1 63%
2 equal ⇒ 63%
3 equal ⇒ 63%
2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.
2) For the next three visits, the program recommensd increasing intensities.
There are three options that show 3 consecutive increases; they are:
- 66%, 69%, 72%;
- 63%, 65%, 67%, and
- 67%, 72%, 77%
Therefore, those are the choices that apply.
Answer:
Step-by-step explanation:
Formulating a system of equations, we have:
x+y=-6 Equation 1
x-y=12 Equation 2
Solving the system of equations, we have:
y = -6 - x (Subtracting x from both sides of the Equation 1)
x - (-6 - x)=12 (Replacing y=-6-x in the Equation 2)
x + 6 + x = 12 (Using the sign rules)
2x + 6 = 12 (Adding like terms)
2x = 6 (Subtracting 6 from both sides of the Equation)
x=3 (Dividing on both sides by 2)
Replacing x=3 in y=-6-x , we have:
y = -6 - 3
y= -9
Given that the numbers are 3 and -9, the smallest of them is -9.
The answer is -9.
The general equation of circle with center (a,b) and radius r is given by
![(x-a)^2+(y-b)^2=r^2](https://tex.z-dn.net/?f=%20%28x-a%29%5E2%2B%28y-b%29%5E2%3Dr%5E2%20)
We know that radius = diameter /2 =10/2=5
Thus the equation of circle with center (-3,5) and radius 5 is given by
![(x-(-3))^2+(y-5)^2=5^2](https://tex.z-dn.net/?f=%20%28x-%28-3%29%29%5E2%2B%28y-5%29%5E2%3D5%5E2%20)
![(x+3)^2+(y-5)^2=25](https://tex.z-dn.net/?f=%20%28x%2B3%29%5E2%2B%28y-5%29%5E2%3D25%20)
When expanding this, we get
x^2+6x+9+y^2-10y+25=25
x^2+y^2+6x-10y+9=0
This is the required equation of circle.