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svetlana [45]
2 years ago
14

What is an example of proportional relationship

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
3 0
Example: Oranges are sold in a bag of 5 for $2. The ratio of roanges to cost is 5:2 if i had 20 oranges for ? cost it would look like: 5/2=20/?
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A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
One serving of punch is 250 milliliters will ten servings fit in a 2-liter Bowl????
photoshop1234 [79]
It will be enought explaination:

First of all I jsed a chart to find where milli is located
K H D U D C M.
M stands for milli so it takes 1000 milli to get 1 liter.
Since 250 milli is one serving
250x10=2500
Evn thiugh it is above 2000 it still a yes
6 0
3 years ago
Solve by taking square roots. plz find answer
topjm [15]

Answer:

Step-by-step explanation:

4x^{2} - 6 = 394

4x^{2}  = 400

x^{2} = 100

x = 10

8 0
2 years ago
Read 2 more answers
River C is 400 miles longer than River D. If the sum of their lengths is 5,590 miles, what is the length of each river?​
pychu [463]

Answer:

River C is: 2,965 miles long.

River D is: 2,565 miles long.

Step-by-step explanation:

C=400+D\\C+D=5530

Have a great day! ^^

7 0
3 years ago
Enter the slope of the line through the points (4 , 15) and (4 , 12)​
pentagon [3]

Answer:

Step-by-step explanation:

slope m= (y2-y1) / (x2-x1) = 15-12 / 4-4 = 3/0 is undefined since we can not divide by 0

slope is undefined so the line is vertical

7 0
2 years ago
Read 2 more answers
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