2 = 1/6 so 6 times two equals 12. 2 is 1/6 of 12, there are 12 lions.
Answer:
The difference is <em>2 inches</em>
Step-by-step explanation:
Firstly, we identify the equation as given in the question;
y = 1.42105x - 32.2632
We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,
Let's say the brothers' heights is x, we select any of the data points; (68,64)
we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632= 64.3682
We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.
Now, let's plug the values for the 71 inches heights
y = 1.42105(71) - 32.2632 = 68.63 approximately 64
In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches
Answer:
<u>The answer is :</u>
<u>x₁ = 4</u>
<u>x₂ = -4</u>
Step-by-step explanation:
Let's solve the equation using square roots.
X^2+16=0
x² + 16 = 0
x² = -16 (Adding 16 at both sides of the equation)
√x² = i√16 (Square root to both sides of the equation)
x = +/- 4i (Roots of the solution)
<u>x₁ = 4i</u>
<u>x₂ = -4i</u>
Answer:
Step-by-step explanation:
1st draw 3 circles where each center is on one of the points, and the other side , the drawing side of the compass is on another point.. the draw the circle ... do that for each point... there will be one point.. where all three cross some where in the middle.. put the point of your compass on that point.. and then put the drawing side on any one of the points... all 3 will now be on the circle.. draw it.. :)
<h2>Greetings!</h2>
Answer:
One number is
and the other number is 
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x = 
6x + 3y = 3
6(
) + 3y = 3
+ 3y = 3
3y = 3 - 
3y = 
Divide both sides by 3 to get 1y:
y = 
So one number is
and the other number is 
<h2>Hope this helps!</h2>