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ivolga24 [154]
4 years ago
12

What is the coordinate of the vertex? Help

Mathematics
1 answer:
Ilya [14]4 years ago
3 0
Answer: (6,-20)

Explanation:
The equation f(x) = -(x-6)^2 - 20 is the same as y = -1(x-6)^2 + (-20)
It is in the form y = a(x-h)^2 + k
The vertex is (h,k) 
In this case, h = 6 and k = -20
So that's why the vertex is (6,-20)
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5 is 4% of what number
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We set up a proportion: 5/?= 4/100

Cross multiply: 4*?= 5*100
⇒ ?= 5*100/4= 125

5 is 4% of 125.
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3 years ago
SOMEONE PLEASE HELP ME IM IN A TIME SITUATION 50 POINTS
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Answer:

4,6

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Step-by-step explanation:

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4 years ago
At the last football game, 4 out of every 9 students wore school colors. Based on this information, if 450 students attend the n
Nostrana [21]
200 students will wear school colors
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What is the distance between B to A<br> Please add the method.<br> The angle is 61 (a bit blurry)
deff fn [24]

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:

  • \theta = ∠AOH
  • O = AH = 8
  • A = OH = 19.80

\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}

\implies \sf \angle AOH = 22.00069835^{\circ}

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

  • \theta = ∠BOH = 38.99930165°
  • O = HB
  • A = OH = 19.80

Substituting given values:

\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}

\implies \sf HB=19.80 \tan(38.99930165^{\circ})

\implies \sf HB=16.03332427

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

3 0
2 years ago
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At Sam's birthday lunch, Sam and one of her friends each ordered a $4 salad while her other 4 friends each ordered a $6 sandwich
Brrunno [24]

Each person will pay $7 before taxes and tip.

Step-by-step explanation:

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Total = 2 salads + 4 sandwiches + 1 slice of cake

Total = 8+24+3

Total = $35

5 friends will split the bill evenly, therefore,

Bill for one person = \frac{Total\ bill}{No.\ of\ people\ paying}

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Each person will pay $7 before taxes and tip.

Keywords: addition, division

Learn more about addition at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

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