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2 years ago

Determine the slope of the line given the points (2,1) and (4,0)

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

The slope is the change in Y over the change in X.

Slope = (0 - 1) / 4-2)

= -1/2

The slope is -1/2

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Gragh the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5) please help

svetoff [14.1K]

Answer:

See attached diagram

Step-by-step explanation:

Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).

The dilation with a scale factor of 1/4 centered at (5, -5) has the rule

$(x,y)\rightarrow \left(\dfrac{1}{4}x+\dfrac{15}{4},\dfrac{1}{4}y-\dfrac{15}{4}\right)$

Then

$A(9,3)\rightarrow A'\left(\dfrac{1}{4}\cdot 9+\dfrac{15}{4},\dfrac{1}{4}\cdot 3-\dfrac{15}{4}\right)=A'(6,-3);$

$B(-7,-5)\rightarrow B'\left(\dfrac{1}{4}\cdot (-7)+\dfrac{15}{4},\dfrac{1}{4}\cdot (-5)-\dfrac{15}{4}\right)=B'(2,-5);$

$C(-3,7)\rightarrow C'\left(\dfrac{1}{4}\cdot (-3)+\dfrac{15}{4},\dfrac{1}{4}\cdot 7-\dfrac{15}{4}\right)=C'(3,-2).$

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2 years ago

Work that is unpaid is called what

Andrei [34K]

An internship or apprenticeship

6 0

2 years ago

Read 2 more answers

PLZ EXPLAIN. <br><br><br>what is the area of this figure?

BlackZzzverrR [31]

The area of this figure is 532m.

First you do the square which is 18 time 18 gets you 324m.

The for the first triangle you would do 18 times 16 then divide by 2 which is 144m.

For the last triangle you would do 16•8 div by 2 which will give you 64m.

Add them all up and you get 532m.

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3 years ago

When a number is added to six times its square, the result is twelve. Find the number.

7nadin3 [17]

Let's represent our number as x.
x is being added to 6 * x², and it equals 12
$x + 6x^{2}=12\\6x^{2}+x-12=0$
Factor:
$6x^{2}+x-12=0\\(2x+3)(3x-4)=0$
Solve for x:
$(2x+3)=0\\2x=-3\\x=\frac{-3}{2}\\\\(3x-4)=0\\3x=4\\x=\frac{4}{3}$

Therefore, x = -3/2 and 4/3.

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2 years ago

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Which our equivalent to -11/4

katrin [286]

-11 divided by 4 and -11/4

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2 years ago