Answer:
7 + 100 + 1 +3 +7 +10 + 15 + 12 +17 + 38
= 210
Answer:
The equation is (x+9)^2 + (y-3)^2 = 5
Step-by-step explanation:
The standard form for the equation of a circle is:
(x−h)^2+(y−k)^2=r2
The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter at (-10, 1) and (-8, 5) can be determined as:
(-10 +(-8))/2 , (1+5)/2
= -10-8/2, 1+5/2
= -18/2 , 6/2
= -9 , 3
Thus(-9,3) is the center of the circle.
Now we will use the distance formula to find the radius of the circle.
r^2=(-10-(-9))^2 + (1-3)^2
r^2=(-10+9)^2 +(-2)^2
r^2=(-1)^2 + (-2)^2
r^2=1 + 4
r^2= 5
Take square root at both sides.
√r^2= √5
r=√5
Now put the values in the 1st equation.
(x−h)^2+(y−k)^2=r2
where h = -9, k =3 and r = √5
(x-(-9))^2 + (y-3)^2= (√5)^2
(x+9)^2 + (y-3)^2 = 5
Thus the equation is (x+9)^2 + (y-3)^2 = 5 ....
The liter is dependent and how much u drink is independent
Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
Answer:
Option B, The sample space has 12 different outcomes
Step-by-step explanation:
<u>Step 1: Determine which of the following is true</u>
<em>Option A</em> → Heads and an even number are very likely outcomes → This is false, although both of these can occur they don't occur "very likely"
<em>Option B</em> → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.
<em>Option C</em> → The sample space has 8 different outcomes → This is false because it doesn't follow the rules of finding the sample space.
<em>Option D</em> → Each result is equally likely → This is false because a coin flipped can land on heads or tails which is 50% while a number cube is usually between 1-6 meaning that there is a 16.667% chance of landing on a number.
Answer: Option B, The sample space has 12 different outcomes