Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
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Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
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Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
Answer:
Step-by-step explanation:
As per the graph, the y-intercept is 20 which is the initial amount.
Another marked point has coordinates (4, 50).
<u>The slope is:</u>
<u>The equation of the line is:</u>
$20 is the initial deposit and weekly deposit is $7.5
Red light is 15.1cm
yellow is 16.3cm
purple is 19.3cm

has gradient

which at the point (-1, 4, 3) has a value of

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say
, in which case we have

Then the derivative of
at (-1, 4, 3) in the direction of
is

Remember yo can do anything to an equation as long as you do it to both sides
so
remember distributive property
a(b+c)=ab+ac
so first distribute
2(3x)+2(-9)=18x
6x-18=18x
minus 6x both sides
-18=12x
divide both sides by 12
-18/12=x
-9/6=x
-3/2=x
easier way is to first divide both sides by 2
x=-3/2