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Agata [3.3K]
3 years ago
9

The vertex form of the equation of a parabola y=(x-3)^+36

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

So the vertex is (3,36)

Step-by-step explanation:

y = a (x-h)^2 +k  is the vertex form of a parabola

(h,k) is the vertex

Assuming the equation is

y = (x-3)^2 +36

h = 3 and k = 36

So the vertex is (3,36)

MrMuchimi3 years ago
3 0

Answer:

ewrwewqetqwrtweq

Step-by-step explanation:

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Let ∠D be an acute angle such that cosD=0.64. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree
Aleks04 [339]

Answer:

50.2 degreees

Step-by-step explanation:

I did math

7 0
3 years ago
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The sum of two numbers is 66. the larger number is 2 more than 3 times the smaller. what are the two numbers?
Montano1993 [528]
The two numbers are 48 and 18.

66 = l + s

l = 2 + 3s

66 = 2 + 3s + s

66 = 2 + 4s

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64 = 4s

64 / 4 = 16

66 = l + 16

66 - 16 = 50

50 - 2 = 48

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7 0
3 years ago
The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will
Alexus [3.1K]

Answer:

\dfrac{\$1000+\$20x}{x} \leq \$25

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = x

Cost of food for x people = \$20x

Total cost = $1000 + \$20x

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

8 0
3 years ago
Find the measure of the indicated angle to the nearest degree. Thanks.
Sholpan [36]

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

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3 years ago
Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)
PilotLPTM [1.2K]

Answer:

a≈18 cm

Step-by-step explanation:

     we have given:

an angle,

the adjacent side and

     we need to find:

the opposite side

     

we know that the definition of

tan of an angle = opp. side/ adj. side

              tan 61° = a/ 10

multiply both sides by 10

        10 * tan61° = a

   18.04047755 = a

                      18 ≈ a

8 0
3 years ago
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