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r-ruslan [8.4K]
3 years ago
13

Rewrite the function y= x^2 + 14x + 4 in vertex form

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0
Vertex form is basically commplete the square
y=a(x-h)^2+k


y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45

answer is A
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g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re
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Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

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3 years ago
Type the correct answer in the box use/ for the fraction bar
Zarrin [17]

Answer:

see explanation

Step-by-step explanation:

given the 2 equations

y = x² - 2x - 19 → (1)

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x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )

x² + 2x - 24 = 0 ← in standard form

(x + 6)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

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the solutions are (- 6, 29), (4, - 11)


6 0
2 years ago
a big water tank contained 200 litres of water. during the day, 88 l 580 ml of water was used and 200 ml leaked. how much water
algol13

The quantity of water left in the tank as described in the task content is; 111 l 220ml.

<h3>What is the amount of water left in the tank?</h3>

The tank described in the task content initially contains 200 liters, in which case, 1 liter corresponds to 1000ml.

Hence, when 88l 580ml was used, the remaining quantity of water is; 200l - (88l 580ml) = 111 l 420ml.

And finally, since 200 ml leaked, the quantity of water left is; 111l 220ml.

Read more on subtraction;

brainly.com/question/144291

#SPJ1

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1 year ago
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Hope this helps!

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