<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B7%7D%20%2B%5Cfrac%7B4%7D%7Bx-8%7D" id="TexFormula1" title="\frac{3}{x+7}

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2 years ago

12

+\frac{4}{x-8}" alt="\frac{3}{x+7} +\frac{4}{x-8}" align="absmiddle" class="latex-formula">

1 answer:

sattari [20]2 years ago

6 0

{7x+4}/{x^2-x-56}

using common denominators

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3 years ago

Which transformation can be used to prove Similarity and why?

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A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. In other words, two figures are similar if a similarity transformation will carry the first figure to the second figure.

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3 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t

padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = $\frac{5}{8}x$

Number of Voters for green color = $\frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)$

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = $\frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}$

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

$x=\frac58x+\frac{15x}{72}+48$

Combining like terms we get;

$x-\frac58x-\frac{15x}{72} = 48$

Now we will make denominators common using LCM we get;

$\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48$

Now denominators are common so we will solve the numerators we get;

$\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48$

Now multiplying both side by 6 we get;

$\frac{1}{6}x\times6=48\times6\\\\x = 288$

Number of voters for blue color = $\frac{5}{8}x=\frac{5}{8}\times 288= 180$

Hence There were 180 voters for blue color.

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4 years ago

What attribute must be present for a quadrilateral to also be a trapezoid?

konstantin123 [22]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the effect on the graph of the function f(x) =5x when f(x) is replaced with f(x) + 9?

Nimfa-mama [501]

Answer:

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Step-by-step explanation:

If it were added inside the function, it woulds shift it left or right.

But since it is outside the function, we will shift it up or down

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