Find the y value for point F such that DF and EF form a 1:3 ratio. E(2,4) D(-3,-3)
2 answers:
I drew the segment and used Pythagorean theorem to solve for its measure. The line formed is the hypotenuse of the imaginary right triangle.
Among the choices only -1.33 and -1.25 is a feasible choice. But I am leaning towards -1.25 as the y-value of point F based on my diagram. Please see attachment
Among the choices only -1.33 and -1.25 is a feasible choice. But I am leaning towards -1.25 as the y-value of point F based on my diagram. Please see attachment
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Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: , where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE =
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer:
Step-by-step explanation:
Given:
From the graph shown,
The broken line means that the inequality sign will be either < or >.
The shaded region is to the left of the broken line. This means that .
Now, in order to find equation of line, we need slope and y-intercept.
From the graph, the y intercept is at . So, y intercept is 1.
Also, if we consider two points on the line, then slope is given as:
Therefore, the equation of the line is given as:
But as the shaded region is to the left of the line,
∴ is the correct answer.