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masya89 [10]
3 years ago
6

Find the value of K that would make the function continuous in each case. Explain how you found your value

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
A)lim(x--->-3) x^2-9/x+3=x-3=-6
k should be -6 in A
B)lim (x---->0) e^x-1/x --HOP-->e^x/1=1
k should be 1 in B
C)lim (x---->1/2) sin(5πx)-1/2x-1 ----hop-->5π*cos(5πx)/2=0
k should be 0 in C





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Parallel line angles (transformation) prove it
Step2247 [10]

Transversal line :

A transversal line is one that crosses two or more lines at different points.

Transversal Properties :

  • Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
  • Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
  • If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees

    Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,

∠1 = ∠6

∠4 = ∠8

∠2 = ∠5

∠3 = ∠7  

Each alternate interior angle pair is equal if a transversal intersects two parallel lines.

∠4 = ∠5

∠3 = ∠6

Hence, proved..

Learn more about transversal here:

brainly.com/question/17987539

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8 0
1 year ago
On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3). Triangle
Volgvan

Answer:

A'(5.5, -4.2), B'(7.5, -9.2), C'(3.5, -3.2)

Step-by-step explanation:

I really do hope I understood you correctly. I figured that the rule would have to be added to each point. If those are wrong, try subtracting the rule.

Again, I'm not trying to take your points and leave you with a wrong answer. I really did give it my best.

4 0
3 years ago
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Dvinal [7]
Answer: 5w^2 (15w ^3 -7)

Good luck !
4 0
3 years ago
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Approximate each of the following logarithms to four decimal places. Use the LOG key on your calculator rather than logarithm ta
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Answer:

2

Step-by-step explanation:

Let's change the base to base 10 (log10(x) = log(x)).

logb(a) = log(a)/log(b)

log3(3²) =log(3²)/log3

Knowing that log(aⁿ) = n*log(a)

log(3²)/log3 = 2*log(3)/log(3)

So, we can simply log(3)/log(3) = 1

log3(3²)  = 2

7 0
4 years ago
Which property yields Step 2
abruzzese [7]

Answer:

D) Commutative property of addition

Step-by-step explanation:

Commutative property of addition

a + b = b + a

On this case

-12 + 5x = 5x - 12

Answer

D) Commutative property of addition

7 0
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