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quester [9]
2 years ago
12

Write an equation of the line in point-stope form that passes through the

Mathematics
1 answer:
mash [69]2 years ago
4 0

Answer:

y-8=-4/3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-8)/(7-(-2))

m=-12/(7+2)

m=-12/9

simplify

m=-4/3

y-y1=m(x-x1)

y-8=-4/3(x-(-2))

y-8=-4/3(x+2)

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Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
Valentin [98]
Factoring by grouping usually pairs up the first 2 sets of expressions with the second 2 sets.  Ours looks like this, then:  (x^3-9x^2)+(5x-45)=0.  If we factor out the common x-squared in the first set of parenthesis, along with factoring out the common 5 in the second set, we get this:  x^2(x-9)+5(x-9).  Now the common expression that can be factored out is the (x-9).  When we do that, here's what it looks like:  (x-9)(x^2+5).  I'm not sure how far you are going with this.  You could set each of those equal to 0 and solve for x in each case.  The first one is easy.  If x - 9 = 0, then x = 9.  The second one involves the imaginary i since x^2 = -5.  In that case,  x=i \sqrt{5},-i \sqrt{5}.  Hopefully, in what I have given you, you can find what you're looking for.
7 0
3 years ago
2. David determines that 3 sqrt 2 cis(7pi/4) = -3+3i. When he considers the graphical representation of these numbers, he knows
fiasKO [112]

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.

Learn more about rectangular equivalence at:
brainly.com/question/27813225
#SPJ1



5 0
1 year ago
At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total.
IRINA_888 [86]

Answer:

Step-by-step explanation:

x = number of pushups he did

4 0
2 years ago
Read 2 more answers
What is the Factor 4m^3-32n^3
Klio2033 [76]

Answer:

2(47m^3-16n^3)

Step-by-step explanation:

7 0
3 years ago
Using the formula D= r•t where D equals distance traveled, r equals the average rate of speed and t equals the time traveled, ch
Mrrafil [7]
D = r• t
reverses the equation so that D and r are on the same side
d/r = t
200 \div 50 = 4
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4 0
2 years ago
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