Answer:
1.) - 1/2
2.) the slope is 0 which means it is a vertical line
Step-by-step explanation:
In order to solve this you take the formula
y-y / x-x
and put they y value and x value of each equation in
4b-3 .. you use distributive property and multiply 3*b-1 then you have 7b-3b-3 then you combine like terms and subtract 3b from 7b and get 4b-3
The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>Where did David go wrong?</h3>
David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.
Hence the correct rectangular equivalence is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>What is rectangular equivalence?</h3>
An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.
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Any smooth curve connecting two points is called an arc. The correct option is c.
<h3>What is the Length of an Arc?</h3>
Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

where
θ is the angle, that arc creates at the centre of the circle in degree.
If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.
Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.
Hence, the correct option is c.
Learn more about the Length of an Arc:
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