Answer:
Step-by-step explanation:
<u>Given</u> :
4 cancels throughout.
<u>Solving by quadratic formula</u> :
- x = -8 ± √(8)² - 4(4)(-12) / 8
- x = -8 ± √64 + 192 / 8
- x = -8 ± √256 / 8
- x = -8 ± 16 / 8
- x = -1 ± 2
- x = 1 and x = -3
∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.
Answer:
Alonzo scored 25 points. Miguel scored 29 points.
Step-by-step explanation:
25 plus 25 is 50. Plus 4 is 54.
Answer:
Step-by-step explanation:
You need to find the set of points that will yield a slope that is the negative reciprocal of the slope of Line L because perpendicular lines have negative reciprocal slopes. The negative reciprocal of 13/7 is -7/13. Which set of points will produce this result? The formula for finding the slope is:
m = (y2 - y1)/(x2 - x1)
Consider the second set of coordinates.
(2 - (-5))/(-7 - 6) = (2 + 5)/(-13) = -7/13
The second set of coordinates satisfy the condition.
Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then
The triangle after a reflection over x = -3. So, the rule of reflection is
The vertices of triangle after reflection are
Similarly,
And,
Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
