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3 years ago

Which ratios form a proportion?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

B. 3/7, 18/42

This work, because you multiply 6 top and bottom

hope this helps

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Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

The word ___________________ means parts per hundred.

scZoUnD [109]

Answer:PHR

Step-by-step explanation:

PHR means parts per hundred defenition.

7 0

3 years ago

Please help and graph it I need this done in 2 minut s pleasee

My name is Ann [436]

Go to a website called desmos it’s a graphing calculator and you just type what you want graphed and it shows it

3 0

3 years ago

I need only help on 11-14 please someone help me

Ainat [17]

Linear function definition: a function that will create a straight line when graphed.

11 is not a linear function (not a straight line), but 12 is.

For the tables, you can either plot out the graph or just look at the number patterns. A linear function's numbers will always increase/decrease accordingly at a constant rate. For example, in 14, you notice that as x increases by 1, y decreases by 2. This means it is a linear graph.

In 13, as x increases by 1, the output y increases but at a different rate each time. It increased by 3 at first, then 5, then 7. Hence, it is not a linear function. What is it then? It is an exponential function.

4 0

3 years ago

(4+4)÷22×2 plss someone answer hurry <3

sineoko [7]

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

7 0

3 years ago

Read 2 more answers