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Veronika [31]
4 years ago
12

Y varies with square or x. x=3 y=16 find the equation of variation

Mathematics
1 answer:
Vladimir [108]4 years ago
7 0
Y=16x²/9 ....................................
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The student council set a goal of raising at least $500 in flower sales. So far it has raised $415. Write an inequality to show
sergij07 [2.7K]
$500 < or = $415 + d

(subtract the 415 from both sides)

$85 < or = d
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How would you use proportional relationships in real life situations? <br> Provide an example.
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proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

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5 0
3 years ago
What is the equation for a circle with a center at (-2,-4) that passes through the point (3,8)?
Margarita [4]
Check the picture below.

so, the center of the circle is the midpoint of that diametrical segment, and half that length is the radius.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }&#10;\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ -2 &,& -4~) &#10;%  (c,d)&#10;&&(~ 3 &,& 8~)&#10;\end{array}\qquad&#10;%   coordinates of midpoint &#10;\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)&#10;\\\\\\&#10;\left( \cfrac{3-2}{2}~~,~~\cfrac{8-4}{2} \right)\implies \left( \frac{1}{2}~,~2 \right)\impliedby center

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ -2 &,& -4~) &#10;%  (c,d)&#10;&&(~ 3 &,& 8~)&#10;\end{array}~~~ &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;d=\sqrt{[3-(-2)]^2+[8-(-4)]^2}\implies d=\sqrt{(3+2)^2+(8+4)^2}&#10;\\\\\\&#10;d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13\qquad\qquad \qquad  \stackrel{radius}{\frac{13}{2}}

\bf \textit{equation of a circle}\\\\ &#10;(x- h)^2+(y- k)^2= r^2&#10;\qquad &#10;center~~(\stackrel{\frac{1}{2}}{ h},\stackrel{2}{ k})\qquad \qquad &#10;radius=\stackrel{\frac{13}{2}}{ r}&#10;\\\\\\&#10;\left( x-\frac{1}{2} \right)^2+(y-2)^2=\left( \frac{13}{2} \right)^2\implies \left( x-\frac{1}{2} \right)^2+(y-2)^2=\frac{169}{4}

3 0
3 years ago
Read 2 more answers
Which of the following transformations will result in an image that maps onto itself
Anestetic [448]

The transformations that maps image onto itself are D) reflect over the y axis and then reflect again over the y axis.

Complete question

Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

Step-by-step explanation:

Reflecting a figure across the y axis then repeating the same procedure will take you to the original position. This means mapping the figure onto itself.When coordinates(x,y) are reflected on the y axis the image coordinates are (-x,y) thus repeating this will form the second image coordinates as (x,y).

Learn More

Transformation : brainly.com/question/10656536

Keyword : transformation

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
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