Answer:
The correct options are A and B
Step-by-step explanation:
The correct options are A and B
A. It is a parabola
B. It is in quadrants I and II
The most simple quadratic function is y = x^2. The graph drawn for this function, y = x^2) is known as the graph of the quadratic parent function OR the parent function for parabolas. This graph has some few characteristics:
- It is the simplest parabola.
- It passes through the origin (0,0).
- It is contained in Quadrants I and II....
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Answer:
2
Step-by-step explanation:
The solutions are ...
p +m|x +n| = k . . . . . given
m|x +n| = k -p . . . . . . subtract p
|x +n| = (k -p)/m = (p -k)/-m . . . . . . must have (p-k)/-m ≥ 0
x = -n ± (p -k)/-m
For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
-8.6363 the proper answer (estimated) is -8.66