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Liula [17]
3 years ago
10

Calculate the approximate distance point A (5, 3, −2) and point B (2, −4, 8) are from the origin. Round to the nearest tenth.

Mathematics
1 answer:
bulgar [2K]3 years ago
8 0
The distance of A from the origin.
√(5²+3²+(-2)²)= √(25+9+4)
                      =√38
                      =6.2

The  distance of B from the origin

√(2²+(-4)²+8²=√(4+16+64)
                     
                     =√84
                     = 9.2 
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-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.

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2 years ago
-3(2x^2+ax+b)=-6x+12x-15 what is the value of a and b
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5 0
3 years ago
The following table shows the amount of lemon flavor and water needed in four punch recipes. Punch Recipes Lemon flavor Water Re
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recipe 2

Step-by-step explanation:

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2 years ago
9. Water is added to two containers for 16 minutes. The equations below model the ounces of
Vladimir [108]

The two containers hold 328 ounces at the they hold same amount of water.

<u>Step-by-step explanation:</u>

The equations below model the ounces of  water, y, in each container after x minutes.

y = 16x + 104

y = -2x^{2} +40x+160

At the time after the start when the containers hold  the same amount of water, the two equations must be equal.

⇒ 16 x + 104 = -2x^{2}  + 40 x + 160

The first step is to divide everything by 2 to make it simplified.

⇒ 8 x + 52 = - x^2 +20 x + 80

Now put everything on the left .

x^2 + 8 x - 20 x + 52 - 80 = 0

Add the like terms together to further reduce the equation

x^2 - 12 x - 28 = 0

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

  • b is the sum of the roots ⇒ -14 + 2 = -12
  • c is the product of the roots ⇒ -14 × 2 = -28
  • Therefore, (x-14) (x+2) = 0
  • The solution is x = -2 or x = 14

Take x = 14  and substitute in any of the given two equations,

⇒ y = 16(14) + 104

⇒ y =224+104

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

5 0
3 years ago
Which relation below is a function?<br><br> PLEASE I Need help
Angelina_Jolie [31]

Answer:

B

Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs do not classify the relationship as a function.

5 0
2 years ago
Read 2 more answers
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