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3 years ago

Complete the square to form a true equation; x^2-2x+=(x-)^2

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )² to x² - 2x

x² + 2(- 1)x + 1

(x² - 2x + 1 = (x - 1)²

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Please help me someone.!!!!!!!!!!!!!!!!!!!!

yan [13]

Answer:

$y=-|x|+2$

Step-by-step explanation:

The y-intercept is 2 and the line of symmetry is the y-axis.

4 0

3 years ago

Which collection of three side lengths will not form a triangle

Schach [20]

To construct a triangle, the sum of any 2 sides of the triangle should be greater than the third side of the triangle.
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.

A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle

B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle

C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle

D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle

correct answer is 6,10 and 18 these cannot form a triangle

8 0

3 years ago

Match the vector field f with the correct plot. f(x, y) = x, −y

Goshia [24]

Option b is true to match the vector field f with the given plot f(x, y)=x, -y

<h3>What is meant by a function?</h3>

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

To know more about function, visit:

brainly.com/question/24428416

#SPJ1

The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

8 0

2 years ago

the interest earned on an account varies directly with the balance in the account. if an account with a balance of $200 earns $1

liq [111]

Answer:

$\$31.25$

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

y-------> the interest earned on an account

x------> the balance in the account

step 1

Find the constant k of proportionality

For $x=\$200,y=\$12.50$

$k=y/x$

substitute the values

$k=12.50/200=0.0625$

The equation is

$y=0.0625x$

step 2

Find the amount of interest earned on an account with a balance of $500

For $x=\$500$ substitute in the equation and solve for y

$y=0.0625(500)=\$31.25$

6 0

3 years ago

David has a wooden board that is 6 feet long. How many pieces can be cut from the board if the length of each piece is 13 of a f

balandron [24]

Answer:

We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:

6 ÷ ¼.

Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:

6 * 4

Solve that, and you'll have your answer.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0

3 years ago

Complete the square to form a true equation; x^2-2x+__=(x-__)^2

Complete the square to form a true equation; x^2-2x+=(x-)^2