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3 years ago

Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1. The leading coefficient must be 1.

2. Divide b by 2.

3. Square (b/2)

4. Add (b/2)^2 to both sides to keep the polynomial balanced.

5. You can now write the perfect square trinomial and solve.

x^2 - 3x

-3/2

(-3/2)^2 = 9/4 = 2 1/4

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Please help me with this math problem!!!!!

vagabundo [1.1K]

Answer:

Step-by-step explanation:

$\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ$

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3 years ago

The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D

Nesterboy [21]

Answer:

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = $\frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}$

The total number of DVDs she took on rent = $\frac{\textup{114}}{\textup{3}}$

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets $\frac{\textup{1}}{\textup{3}}$ free DVD

therefore,

For 38 DVD she gets $\frac{\textup{38}}{\textup{3}}$ free DVD

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0

3 years ago

In this figure, lines a and b intersect a transversal, c.

pogonyaev

Answer: Alternate exterior angles

Step-by-step explanation:

6 0

3 years ago

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What is the sum of 4.9 × 102 and 6.8 × 103?

dusya [7]

Answer:

The sum is

$7.92\times 10^3$

Step-by-step explanation:

We want to add

$4.9\times 10^2 and 6.8\times 10^3$

The sum of these two numbers is:

$4.9\times 10^2 +6.8\times 10^3$

This is the same as:

$4.9\times 100 +6.8\times 1000$

$490 +6800=7290$

We rewrite 7290 in standard form to get;

$7.92\times 10^3$

6 0

3 years ago

Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is

Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0

3 years ago

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