Answer:
(x + 2)^2 + (y + 2)^2 = 16
Step-by-step explanation:
Answer:
∠ SPQ = 75°
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Subtract the sum of the 3 angles from 360 for ∠ SPQ
∠ SPQ = 360° - (90 + 74 + 121)° = 360° - 285° = 75°
Answer:
The equation of the line is y = 6x - 14
Step-by-step explanation:
To find the equation of this line, start by using the two points with the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (16 - 4)/(5 - 3)
m = 12/2
m = 6
Now that we have the slope, we can use that and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 6(x - 3)
y - 4 = 6x - 18
y = 6x - 14
We know that in order to find the point (-3,-7), we must first go to the left on the x-axis 3 units from the origin, and then directly down on the y-axis 7 units. Using the attached image, we can see that this would then put us into the third quadrant or Quadrant III. Therefore, the answer is D) The point is in the third quadrant.
