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sesenic [268]
1 year ago
8

Find the equation that results from completing the square in the following equation. x^2−20x+75=0

Mathematics
1 answer:
Ymorist [56]1 year ago
8 0

The equation that results from completing the square in the following equation. x^2−20x+75=0 is (x+2)^2 = 10

<h3>What is completing the squares method for solving the quadratic equations in one variable?</h3>

The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.

GIven;

x^2−20x+75=0

Subtract 75 from each side

x^2−20x+75 - 75 = -75

Take the coefficient of x

20

Divide by 2

10

Square it

100

Add it to each side

x^2 +5x + 100 = -75 + 100

(x+2)^2 = 10

Take the square root of each side

x+2 = 10

x = 8

Learn more about this concept here;

brainly.com/question/23364759

#SPJ1

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5
Blizzard [7]

Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

7 0
3 years ago
An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in
posledela

Answer:

<u>$7000</u> of his salary is put into this account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find how much is put into this account each quarter.

As given salary = $84,000.

So, amount to put into this account every quarter =

\frac{1}{12} of\ \$84,000.

=\frac{1}{12} \times 84000

=\frac{84000}{12}

=\$7000.

Therefore, $7000 of his salary is put into this account each quarter.

6 0
3 years ago
Please help me it would mean the world. Extra points!
vaieri [72.5K]

Answer:

i inserted image for your work

you can ask for any doubt

3 0
2 years ago
I’ll give you the BRAINLYEST answer if you can help me on this question!
igomit [66]

Answer:

i think its 6

Step-by-step explanation:

im so sorry if its wrong im pretty sure it is

6 0
3 years ago
If a spring stretches 6 meters when a 7-kilogram weight is attached to it, how much will it stretch when a 42-kilogram weight is
Zinaida [17]

Answer:

Step-by-step explanation:

 This is a simple proportion problems.

7 kilogram weight attache to a spring stretches  = 6 meters

 1 kilogram would stretch                                       =  6/7 m

Therefore 42 kilograms would  stretch                  = (6/7 x 42)meters

                                                                                 =  36 meters.

                                                                         

 

8 0
3 years ago
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