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a_sh-v [17]
2 years ago
14

Which function below is the inverse of f(x)=x^2-36

Mathematics
1 answer:
Artyom0805 [142]2 years ago
3 0

Answer:

+- square root of x+36

Step-by-step explanation:

f(x) = x^2 -36

y = x^2 -36

Exchange x and y

x = y^2 -36

Solve for y

Add 36 to each side

x+36 = y^2 -36+36

x+36 = y^2

Take the square root of each side

±sqrt(x+36) = y

±sqrt(x+36) = f^-1(x)

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Complete the two-column proof by providing the missing statements or reasons.
navik [9.2K]

The diagonals of a rhombus bisect each other perpendicularly, making the

angles formed by the intersecting diagonals to be 90°.

Correct Response:

  • ∠1 and ∠2 are corresponding angles of congruent triangles ΔAOD and ΔAOB, therefore, ∠1 = ∠2

<h3>Method used to prove that ∠1 = ∠2</h3>

Given:

The quadrilateral represented by ABCD = A rhombus

Required:

To prove that ∠1 = ∠2

Solution:

From the diagram, we have;

The measure of ∠AOD = ∠1, the measure of ∠AOB = ∠2

The two column proof is presented as follows;

Statement   {}                               Reasons

1. ABCD is a rhombus    {}            1. Given

2. AB = BC = CD = DA          {}     2. Definition

3. AO = OC, BO = OD{}                3. Diagonals of a rhombus bisect each other

4. ΔAOD ≅ ΔAOB {}                     4. SSS congruency postulate

5. ∠1 ≅ ∠2 {}                                  5. CPCTC

6. ∠1 = ∠2 {}                                   6. Definition of congruency

SSS (Side-Side-Side) congruency postulate states that if the three sides of

one triangle are congruent to the three sides of another triangle, the two

triangles are congruent.

CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent.

Learn more about the properties of a rhombus and congruency here:

brainly.com/question/22955199

brainly.com/question/17239468

5 0
2 years ago
Connie Hamm demonstrates microwave ovens. She earn $5.00 per demonstration for the first 10 demonstrations and $6.00 for each de
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5*10+6*2+4*10.55=commission
50+12+42.2=commission
$104.20
6 0
3 years ago
What is the image of point (2, 8) for mapping (x, y) , (x – 8, y + 1)
grigory [225]
(2; 8) → (2 - 8; 8 + 1) → (-6; 9)
8 0
3 years ago
Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
Ivahew [28]

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

7 0
2 years ago
There were 12,608 visitors to a museum in June. What is this number rounded to the nearest ten thousand? Complete the explanatio
Nina [5.8K]

Answer:

The rounded number is 10,000.

Step-by-step explanation:

Rounding means making a number simpler but keeping its value close to what it was.

The digit in the ten thousands place is 1.

The digit to its right is 2, so the digit in the ten thousands place stays the same.

Leave it the same if the next digit is less than 5, this is called rounding down. And increase it by 1 if the next digit is 5 or more, this is called rounding up

5 0
2 years ago
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