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3 years ago

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F i n d space t h e space s l o p e space g i v e n space t o space p o i n t s. space space m space equals space fraction numer

ator y subscript 2 space end subscript minus space y subscript 1 over denominator x subscript 2 space end subscript minus space x subscript 1 end fraction left parenthesis 4 comma space minus 7 right parenthesis space a n d space left parenthesis 6 comma space 3 right parenthesis
1 fifth
- 5

5

- 1 fifth

1 answer:

gulaghasi [49]3 years ago

6 0

Answer:

The correct option is 3.

Step-by-step explanation:

If a line passes through to points $(x_1,y_1)$ and $(y_1,y_2)$ , then the slope of line is

$m=\frac{y_2-y_1}{x_2-x_1}$

Given points are (4,-7) and (6,3).

The slope between given points is

$m=\frac{3-(-7)}{6-4}$

$m=\frac{3+7}{2}$

On further simplification we get

$m=\frac{10}{2}$

$m=5$

Therefore the correct option is 3.

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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(

zavuch27 [327]

Given:

The parent absolute function is

$f(x)=|x|$

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

$g(x)=kf(x+a)+b$ .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

$g(x)=3f(x+0)+5$

$g(x)=3f(x)+5$

$g(x)=3|x|+5$ $[\because f(x)=|x|]$

Therefore, the correct option is D.

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3 years ago

Which statement is true about the graphs of the two lines y = –6 and x = 1/6<br>?

ivanzaharov [21]

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Answer:

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2 years ago

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Kaylis [27]

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$\sf \rightarrow y^2 - 3y - 4y +12$

factor the common term 'y' and '-4'

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collect into groups

$\sf \rightarrow (y- 4)(y - 3)$

<h3><u>Part B</u></h3>

$\sf \rightarrow 9x^2 - 12x + 4$

middle term split

$\sf \rightarrow 9x^2 - 6x - 6x+ 4$

factor the common term '3x' and '-2'

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collect into groups

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simplify the following

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2 years ago

Andre received and spent money in the following ways last month. For each example, write a positive or negative number to repres

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Answer:

+25;+18;-10

Step-by-step explanation:

Ok so let's break down the scenario step by step:

His uncle gave him $25 so that means it's positive so <em>+</em><em>25</em><em> </em>
Now he earned $18 so that means it is also positive so <em>+</em><em>18</em>
And now he spent $10 which means it is negative so <em>-</em><em> </em><em>10</em>

(And of you want to find out the amount left with him,

(25+18)-10

=43-10

=$33)

Hope this helps :)

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3 years ago