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SSSSS [86.1K]
3 years ago
12

Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

y = 3(x - 2)² - 5

Step-by-step explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5

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On January 1, 2020, Maris Enterprises issued 9%, 5-year bonds with a face amount of $800,000 at par. Interest is payable annuall
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Answer:

A. Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

B. Dr Interest expense $72,000

Cr Interest Payable $72,000

Step-by-step explanation:

Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31

A. Preparation of the entries to record the issuance of the bonds

Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

(Being to record issuance of the bonds)

B. Preparation of the Journal entry to record first annual interest accrual on December 31

Dec 31

Dr Interest expense $72,000

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6 0
3 years ago
Complete the square in the following quadratic equation
EastWind [94]

Answer:

x^2 + 2x = 1 = - 1

Step-by-step explanation:

x^2 + 2x + 3 = 1

x^2 + 2x + 3 - 2 = 1 - 2

x^2 + 2x + 1 = - 1

3 0
3 years ago
Which of the following graphs shows the Blue line rotated 90 degrees CW around (0,2) then reflected over the x-axis?
Diano4ka-milaya [45]
Sorry, I need to see the graph options.
4 0
4 years ago
What is the union of {9, 10, 11} and {9, 11, 13}?
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The 2 {} you have are called sets. The union is what the 2 sets have in all.

You can think of this as you have green blue yellow cards. and your friend have green orange red cards. What colors do you have if you combine your cards.

Now that's just an example, in the question's case is what numbers does the 2 sets have in total.

Therefore the union of these 2 sets are {9,10,11,13}

Hope it helps!

5 0
3 years ago
8. Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin cast a
taurus [48]

Answer:

C. 6 ft

Step-by-step explanation:

If Marvin's son is 3 feet tall with a 1 foot shadow, Marvin would be 6 feet tall with a 2 foot shadow.

7 0
3 years ago
Read 2 more answers
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