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Taya2010 [7]
3 years ago
8

Determine the equation of the plane in the form

Mathematics
1 answer:
Bond [772]3 years ago
8 0
A plane parallel to vectors <9, 6, 2> and <-8, -4, -5> is given by
\left|\begin{array}{ccc}x&y&z\\9&6&2\\-8&-4&-5\end{array}\right| =0\\ (-30 + 8)x - (-45 + 16)y + (-36 + 48)z = 0\\-22x+29y+12z=0

Since the plane passes through point (5, -5, 8), then
-22(5) + 29(-5) + 12(8) = -110 - 145 + 96 = -159

The required plane is -22x + 29y + 12z = -159
z = 11/6x - 29/12y - 53/4
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Alisa had 1/2 L of juice in a bottle. She drank 3/8 L of her juice. What
Elina [12.6K]

Answer:

3/16

Step-by-step explanation:

By drinking 3/8 liters of 1/2 liter juice it means the question tests the ability to multiply fractions. Since she drank 3/8*1/2=3/16

We multiply the numerators and denominators separately ie 3*1/(8*2)=3/16

Therefore, Alisa consumed 3/16 or 0.1875 or 18.75% of the juice.

Since the question was in fractional form, it is prudent to also express answer in fractions hence the right answer is 3/16

3 0
3 years ago
Find the slope of the line (0,7), (4,4)
MaRussiya [10]

Answer:

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Step-by-step explanation:

m = (7-4)/(0-4)

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3 0
2 years ago
Solving for x... please help me....​
geniusboy [140]

Answer:

A) 11

Step-by-step explaination:

CE = 2x - 2

CE = CD + DE

= x + 9

Hence it can be said that,

2x - 2 = x + 9

2x - x = 9 + 2

x = 11

6 0
3 years ago
A family member had some five-dollar bills and one-dollar bills in her wallet. Altogether she has 18 bills and s total of $62. W
Elden [556K]
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3 years ago
In a recent year, 27.9% of all registered doctors were female. If there were 53,700 female registered doctors that year, what wa
Elis [28]

Answer:

The total number of registered doctors was 192,473.

Step-by-step explanation:

This question can be solved using a rule of three.

53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So

53700 doctors - 0.279

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x = \frac{53700}{0.279}

x = 192473.11

Rounding to the nearest whole number.

The total number of registered doctors was 192,473.

5 0
3 years ago
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