Answer:
D. 
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope 
between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>
Thus we have the equation
Let us now calculate 
from the point 
So the equation we get is
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. is the closest one, so we pick it.
Answer:
6
Step-by-step explanation:
Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.
The ratios we will create will be 
where each long and short form an angle.
So write:
To solve, cross multiply numerator with denominator.
12(4) = 8(y)
48=8y
6=y
<h3>Answer:</h3>
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3>
<h2>Given:</h2>
- The centre of the ellipse is at the origin and the X axis is the major axis
- It passes through the points (-3, 1) and (2, -2)
<h2>To Find:</h2>
- The equation of the ellipse
<h2>Solution:</h2>
The equation of an ellipse is given by,
Given that the ellipse passes through the point (-3, 1)
Hence,
Cross multiplying we get,
- 9b² + a² = 1 ²× a²b²
- a²b² = 9b² + a²
Multiply by 4 on both sides,
- 4a²b² = 36b² + 4a²------(1)
Also by given the ellipse passes through the point (2, -2)
Substituting this,
Cross multiply,
- 4b² + 4a² = 1 × a²b²
- a²b² = 4b² + 4a²-------(2)
Subtracting equations 2 and 1,
- 3a²b² = 32b²
- 3a² = 32
- a² = 32/3----(3)
Substituting in 2,
- 32/3 × b² = 4b² + 4 × 32/3
- 32/3 b² = 4b² + 128/3
- 32/3 b² = (12b² + 128)/3
- 32b² = 12b² + 128
- 20b² = 128
- b² = 128/20 = 32/5
Substituting the values in the equation for ellipse,
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
Answer:
I need more info about the shape were making but I think C is the answer.
Step-by-step explanation:
I'll be honest Im confused. Im going to assume your finding the third side of triangle and if so here is my answer.
Side GH must be between 3.5 and 23.1 not inclusive because 13.3+9.8= 23.1 and that would be the length if the line is a straight line, and the minimum is 13.3-9.8= 3.5 and that is only if the lines overlap. That only leaves C as the answer within the range.
4(r)^x=y
4(r)^(1)=2
r=1/2
y=4*(1/2)^x
