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3 years ago

The square below has an area of 22 - 10x + 25 square meters.

Mathematics

2 answers:

spin [16.1K]3 years ago

7 0

Expression that represents the length of one side of the square is x - 5.

klasskru [66]3 years ago

6 0

Answer:

Step-by-step explanation:

Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

Given,

Area of the Square = ( 22 - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = 22 - 10x + 25

s² = 22 - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Hope this answer helps you :)

Have a great day

Mark brainliest

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3x^2-x=10 Find factors Determine zeros

Sophie [7]

Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.

Step-by-step explanation:

Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0

Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.

⇒ 3x² - 6x + 5x - 10 = 0

⇒ 3x(x - 2) + 5(x - 2) = 0

⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.

Step 3: Find zeros by equating the factors to 0.

⇒ 3x + 5 = 0 and x - 2 = 0

⇒ x = -5/3 and 2

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3 years ago

Write and expression with an exponent that has a value between 0 and 1

GenaCL600 [577]

X^(0.5)+2x+0.5 can be your answer - x^(0.5) means square root of x

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4 years ago

Why math even exist people could just like wing it for everything

s2008m [1.1K]

Answer:

- 7 / 4

Step-by-step explanation:

( x1, y1 ) = ( 1, 10 )

Here,

x1 = 1

y1 = 10

( x2, y2 ) = ( 5, 3 )

Here,

x2 = 5

y2 = 3

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 3 - 10 ) / ( 5 - 1 )

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Proper fraction = - 7 / 4

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3 years ago

Read 2 more answers

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

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