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DedPeter [7]
3 years ago
9

What are the following ordered pairs??

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
The ordered pairs for A, C and E all work in these inequalities. 

In order to find this, you need to test them all and see if they work for both. 

Ordered Pair #1: (-1, 10)

2x < y
2(-1) < 10
-2<10 (TRUE)

y > 7
10 > 7 (TRUE)

Ordered Pair #2: (1, 9)

2x < y
2(1) < 9
2 < 9 (TRUE)

y > 7  
9 > 7 (TRUE)

Ordered Pair #3: (17, 50)

2x < y
2(17) < 50
34 < 50 (TRUE)

y > 7 
50 > 7 (TRUE)
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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

sin(\frac{x}{2} + 2x) = cos(2x +\frac{3x}{2})

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SO, (90° - (\frac{x}{2}+2x)) = 2x+\frac{3x}{2}

Or, 90° =  2x+\frac{3x}{2} + \frac{x}{2}+2x

or, 90° = \frac{4x}{2} + 4x

Or,  90° =  \frac{12x}{2}

So, x =  \frac{90}{6} = 15°

∴ sin(\frac{x}{2} + 2x) = sin(\frac{15}{2} + 30)

So, sin(\frac{x}{2} + 2x) = sin\frac{75}{2}

∴  The value of Ф_1 = \frac{75}{2} = 37.5°

Similarly  cos(2x +\frac{3x}{2}) =  cos(30 +\frac{45}{2})

So ,The value of Ф_2 = \frac{105}{2} = 52.5°

∵ β   α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5°  Answer

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What is Y equals 7x plus 3
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Hm.. That's a hard one is the answer..10??
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How do you solve 10+5(3x-4)=2x+7
Taya2010 [7]

Answer:

x=1\dfrac{4}{13}

Step-by-step explanation:

Given the equation

10+5(3x-4)=2x+7

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10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:

15x+10-20=2x+7

15x-10=2x+7

Add 10 th both sides:

15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract 2x:

15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:

x=\dfrac{17}{13}=1\dfrac{4}{13}

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Answer:

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