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2 years ago

What is the slope of the line that passes through 9,5 and 4,5

Mathematics

2 answers:

Leokris [45]2 years ago

8 0

Answer:

(5,0

Step-by-step explanation:

Vesnalui [34]2 years ago

6 0

Answer:

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

= (5 - 5) / (4 - 9)

= 0 / -5

= 0

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Find the range for f(x)=8x-3,given the domain is {-2,4,8,10}

Setler [38]

Answer:

-19, 29, 61, 77

Step-by-step explanation:

Put the domain numbers as a solution for x. May or may not be right. Sorry if it's wrong...

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3 years ago

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What describes the reflection of the figure?

Elodia [21]

Reflection over y axis

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3 years ago

Write an equation represents the number of bracelets b Carly will have if she works t hours making bracelets in the next 2 weeks

xxMikexx [17]

2(1b × t) ÷ 2 = b

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3 years ago

Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

7 0

3 years ago

If tanA = 3cotA, show that, secA = 2

zysi [14]

Answer:

proved

Step-by-step explanation:

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2 years ago