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IgorLugansk [536]
3 years ago
9

How do you figure out your ratios

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
7 0
Hello
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.
Aliun [14]3 years ago
6 0
What do you mean by this? If you're looking for a simple response, Google is always helpful.
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Who’s graph show a proportional relationship in which the value of y is one-half of the value of x
Sunny_sXe [5.5K]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

so

That means it's the equation of a line passing through the origin.

case a) and case d) are discarded because the line does not pass through the origin

<u>case b) we have</u>

for x=2 y=4

y/x=k-------> 4/2=2------> k=2

y=2x-------> in this case the value of y is two times the value of x

<u>case c) we have</u>

for x=4 y=2

y/x=k-------> 2/4=1/2------> k=(1/2)

y=(1/2)x-------> in this case the value of y is one-half of the value of x

therefore

the solution is the case c) see the attached figure

8 0
3 years ago
Is it possible to construct a triangle with the given lengths? 17, 37, 53
kvv77 [185]

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

17+37>53,\\54>53,\\\text{True}\:\checkmark

7 0
2 years ago
Correctly order the proceed for solving for x using the algebraic properties of equality.
Snezhnost [94]

Answer:

3

1

2

Step-by-step explanation:

Step 1: Subtract 9

50.24 = 3.14x²

Step 2: Divide by 3.14

x² = 16

Step 3: Square root both sides

x = ±4

6 0
3 years ago
For the function f (x) = 8 - x2 evaluate f (-2)<br> 4<br> 12<br> -32<br> 0
professor190 [17]
The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
3 0
3 years ago
A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
2 years ago
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