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Oduvanchick [21]
3 years ago
10

Determine the vertex of y=4(x-25)2+ 91

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

<h3>              (25, 91)</h3>

Step-by-step explanation:

y = a(x - h)² + k        ← vertex form of  the equation of the parabola with vertex (h, k)

So y = 4(x - 25)² + 91  means:

a = 4

x - 25 = x - h    ⇒  - 25 = - h  ⇒  h = 25

+ 91 = + k     ⇒    k = 91

Therefore vertex is:

                               <u>(25, 91)</u>

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3 years ago
Sets L, M, and N are shown. Which of the sets represents LU (M n N) (the union of L with the intersection of sets
irinina [24]

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100} ⇒ 2nd answer

Step-by-step explanation:

In the sets:

  • Union (∪) of two sets means all the elements in the two sets without repeating the same elements
  • Intersection (∩) of two sets means the common elements in the two sets

∵ Set L = {0 , 20 , 40 , 80 , 100}

∵ Set M = {5 , 10 , 15 , 20 , 25}

∵ Set N = {10 , 20 , 30 , 40 , 50}

We need to find L ∪ (M ∩ N)

At first find (M ∩ N)

∵ M ∩ N means find the common elements of M and N

∵ 10 and 20 are common elements in M and N

∴ M ∩ N = {10 , 20}

Now find the union of L and {10 , 20}

∵ L ∪ {10 , 20} means all elements in L and {10 , 20} without

   repeating the same elements

∴ L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}

∴ L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}

Learn more:

You can learn more about the set in brainly.com/question/10710410

#LearnwithBrainly

4 0
4 years ago
Factor the expression using the GCF.<br><br> 7+14 =
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Answer:

Step-by-step explanation:

So it’s 201

6 0
3 years ago
Can 5/12 be simlified
nikklg [1K]
It's already in simplest form. 
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3 years ago
Read 2 more answers
An 8 foot long piece of 2 by 4 wood is used to prop up a fence if the 2 by 4 makes 30 degree angle with the ground how high abov
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Answer:

4

Step-by-step explanation:

H (height the 2x4 contact the fence)

sin 30° = H / 8

1 /2 = H / 8

H = 1/2 * 8 = 4

3 0
3 years ago
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