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2 years ago

Find the slope of the line (4,5),(-3,-1)

Mathematics

1 answer:

koban [17]2 years ago

8 0

Step-by-step explanation:

${ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\$

• y2 → -1

• y1 → 5

• x1 → 4

• x2 → -3

${ \tt{slope = \frac{ - 1 - 5}{ - 3 - 4} }} \\ \\ { \tt{slope = \frac{ - 6}{ - 7} }} \\ \\ { \boxed{ \tt{ \: slope = \frac{6}{7} }}}$

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How many yards are equal to 12 feet ? (1 yard =3 feet)

Anestetic [448]

Answer:

4 yards

Step-by-step explanation:

If 1 yard is 3 feet, divide 12 feet by 3. You will get 4 yards as your answer.

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3 years ago

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George tells you that when variables are in the denominator, the equation becomes unsolvable. "There is a value for x that makes

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2 years ago

Simplify the expression X^-1

IgorC [24]

Answer:

Step-by-step explanation:

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2 years ago

Drag the expressions into the boxes to correctly complete the table.

lora16 [44]

Answer:

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form $ax^n$ .

Here:

$n$ = non-negative integer

$a$ = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

$x^4+\frac{5}{x^3}-\sqrt{x}+8$

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains $\sqrt{x}$ , so it is not a polynomial.

Also it contains the term $\frac{5}{x^3}$ which can be written as $5x^{-3}$ , meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression $x^4+\frac{5}{x^3}-\sqrt{x}+8$ is not a polynomial.

Given the expression

$-x^5+7x-\frac{1}{2}x^2+9$

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

$\left|x\right|^2+4\sqrt{x}-2$

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

$x^3-4x-3$

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

$\frac{4}{x^2-4x+3}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

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3 years ago

Is 15/20 a half or a whole?

Arte-miy333 [17]

Answer:

15/20 is neither its 3-quarters

Step-by-step explanation:

15/20 is 3/4 which is 75% therefore...

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3 years ago

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