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2 years ago

Find the vertex of the function given below y=x^2-2x+1

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Hey there! :)

Answer:

(1, 0).

Step-by-step explanation:

Convert from standard form to vertex form by completing the square:

y = x² - 2x + 1

Move 1 to the other side:

-1 = x² - 2x

Complete the square. Remember to add to both sides:

-1 + (1) = x² -2x + 1

Simplify:

0 = (x - 1)²

The function in vertex form is:

y = (x - 1)²

Therefore, the vertex is:

(1, 0).

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1.6.IP-20

Ivahew [28]

Answer:

Step-by-step explanation:

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2 years ago

Which of the following is equal to 408 = 12?

Viktor [21]

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3 years ago

LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

$P_{DFG}=20ft+25ft+35ft=80ft$

5. Therefore, she would need 80 feet of fence.

8 0

2 years ago

If RT = 6 and RS = 9, then RX = A - sqrt(54) B - 13.5 C - 7.2 D - 4

wolverine [178]

Answer:

Option D RX=4 units

Step-by-step explanation:

we know that

In the right triangle RTS

The cosine of angle TRS is equal to

cos(TRS)=RT/RS

substitute

cos(TRS)=6/9 -----> equation A

In the right triangle RTX

The cosine of angle TRX is equal to

cos(TRX)=RX/RT

substitute

cos(TRX)=RX/6 -----> equation B

∠TRS=∠TRX -----> is the same angle

Match equation A and equation B

6/9=RX/6

RX=6*6/9=4 units

5 0

3 years ago

The pH of solution A is 2.4, while the pH of solution B is 9.4.

pishuonlain [190]

Answer:

The answer to your question is below

Step-by-step explanation:

pH definition

pH = - log [H⁺]

a) For pH = 2.4, solution A

2.4 = -log[H⁺]

[H⁺] = antilog⁻².⁴

[H⁺] = 0.00398

For pH = 9.4, solution B

[H⁺] = antilog⁻⁹.⁴

[H⁺] = 3.98 x 10⁻¹⁰

b) Divide hydrogen-ion concentration of solution A by hydrogen-ion concentration of solution B.

0.00398 / 3.98 x 10⁻¹⁰

10000000 times

c) By 7, because 7 is the number of zeros

3 0

3 years ago