Answer:
Step-by-step explanation:
When the question comes with answer choices, please share them. In this case it sounds like there were four graphs from which to choose.
f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.
x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.
Plot x-intercepts {-1, 2}. The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts. If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.
Answer:
1) ST > MN
2) BA > BC
3) angle A > angle F
4) angle L < angle R
Step-by-step explanation:
In all cases the sides adjacent to the specified angle are unchanged in both triangles.
Decreasing the angle decreases the opposite side.
Decreasing the opposite side decreases the angle.
For item 2, the triangles are ADB and CDB.
Step-by-step explanation:
<u>Since the GCF of 18 and 24 is 6, we can </u><u>distribute</u><u> </u><u>6</u><u> </u><u>into</u><u> </u><u>each</u><u> </u><u>number</u><u>.</u>
<u>Also represents;</u>
<u>And;</u>
<u>When solved;</u>
Answer: Use trial and error. That's what I would do.
Answer:
b.) Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
Step-by-step explanation:
b.) triangle 7's 3 angles: 40° , 35° and 180° - 40° - 35° = 105°
triangle 8: 40° , 105° and 180° - 40° - 105° = 35°
they have all 3 corresponding angles congruent, triangle and triangle 8 is similar (AAA)