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chubhunter [2.5K]
3 years ago
9

1. If m< 1 = 7x + 6 and m2 2 = 8x – 6, find the value of x so that p is perpendicular to q.

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

7x + 6 =8x - 6

x= 12

Step-by-step explanation:

  1. put them equal to each other
  2. then subtract 8x from both sides
  • 7x(-8x) + 6 = 8x(-8x) - 6
  1. to get -1x
  • -1x + 6 = -6
  1. then subtract 6 from both sides
  • -1x +6(-6) = -6(-6)
  1. you'll get -1x = -12
  2. then divide -1 to both sides
  • -1x/-1 = -12/-1
  1. then you get x = 12
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Diego wants to find 4 1/5 - 7/10 .. Explain why he must rename 4 1/5 in order to do the subtraction?
nevsk [136]

Answer:

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

Step-by-step explanation:

These are the steps Diego should follow to find 4 1/5 - 7/10:

Step 1: Convert all mixed numbers into improper fractions.

4 1/5 = 21/5 - 7/10

Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.

21/5 = 42/10 - 7/10

Step 3: Add or subtract the numerators and keep the denominator the same.

42 - 7 = 35/10

Step 4: If the answer is an improper form, reduce the fraction into a mixed number.

35/10 = 3 5/10 = 3 1/2

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

4 0
3 years ago
We created this inequality to represent how Amy can meet her revenue goals:
brilliants [131]

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5

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If the original price was $25, then the new rice required to reach Amy's goal is:

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7 0
3 years ago
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shtirl [24]

Answer:

x=11.7

Step-by-step explanation:

When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.

180=10x+2+5x+3 ---> combine like terms

180=15x+5 ---> subtract 5 to the other side

175=15x ---> divide 15 to the other side

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6 0
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bija089 [108]

Answer:

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Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

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3 years ago
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ss7ja [257]

Answer:

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x - 7

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