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Murrr4er [49]
3 years ago
11

What is the slope of the line whose equation is y-4=5/2(x-2)?

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

slope =  \frac{ - 1 - 4}{0 - 2}  \\  =  \frac{ - 5}{ - 2}  \\  = { \tt{ \frac{5}{2} }}

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Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change
frutty [35]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3

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3 years ago
Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour.
Maksim231197 [3]
She spent 17 hours tutoring

$210 = 7 hours

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218.3 is the answer for this one
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The ratio of boys to girls in history class is 4to5 how many girls are in class if there are 12 boys in the class
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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
3 years ago
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