Answer:
C. y = 1/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
1
/2
x
−
8
.
y
=
1
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
1
/2
x
−
8
.
y
=
−
2
x
−
29 PERPENDICULAR
Subtract 4 from both sides, y = 5
Answer:
1) Yes it has a 90° angle at point B.
2) No it has no points of 90° angles. Even though point y looks like it, the line from y to x is not straight like an L from line y to z.
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Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
The count the number of times the sign changes
that is how many positive roots there are
if you get a number that is ≥2, then count down by 2's ending at 0
sub -x for x and evaluate
count change in sign again
that is how many negative roots there are
if you get a number that is ≥2, then count down by 2's ending at 0
so
-2x^3+3x^2-5x-2=0
-,+,-,-
1 2
2 or 0 positive roots
x to -x
2x^3+3x^2+5x-2=0
+,+,+,-
1
1 negative root
2 or 0 positive roots and 1 negative root
D is answer
