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Aneli [31]
3 years ago
14

How can you tell whether an ordered pair is a solution of a linear inequality?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

Suppose the ordered pair is (x.y). Substitute these values in the linear equality to see if it is true,

Example. Consider the point (7, -4). Is it a solution of the linear inequality

3x < 4y - 9?   Let's check to find out.

Check:

Is  3 (7) < 4 (-4) - 9    true ?

Is    21  < -16     -9 =  -25   ??  

NO!

So (7,-4) is NOT a solution of the linear inequality.


Thank you,

MrB


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Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0
3 years ago
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

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