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4 years ago

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

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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

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200 students will wear school colors

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4 years ago

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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)

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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:

Price of salad = $4

Price of two salads = 4*2 =$8

Price of sandwich = $6

As 4 friends ordered sandwiches, therefore,

Price of 4 sandwiches = 6*4 = $24

Price of slice of cake = $3

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 = $\frac{Total\ bill}{No.\ of\ people\ paying}$

Bill for one person = $\frac{35}{5} = \$7$

Each person will pay $7 before taxes and tip.

Keywords: addition, division

Learn more about addition at:

#LearnwithBrainly

6 0

3 years ago