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Allushta [10]
3 years ago
7

Find an equation of the plane through the point (−1,−5,−2)(−1,−5,−2) with normal vector n=⟨−5,−4,−1⟩n=⟨−5,−4,−1⟩.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0
Consider this option:
1. given: n(A;B;C)=n(-5;-4;-1) and A(-1;-5;-2)=A(x₀;y₀;z₀).
Common view of equation for a plane is Ax+By+Cz+D=0, where A,B,C,D - numbers.
2. from another side using coordinates of A and normal vector it is possible to make up the equation: A(x-x₀)+B(y-y₀)+C(z-z₀)=0 ⇒ -5(x+1)-4(y+5)-(z+2)=0; ⇒ -5x-4y-z-27=0 or 5x+4y+z+27=0.
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11
LuckyWell [14K]

Answer:

Not sure sorry Im really bad at this stuff

Step-by-step explanation:

8 0
3 years ago
Eva has £6.05 in her moneybox.
PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

<u>Then</u>:

  • 20x + 10y + 5z = 605
  • y : x = 2 : 1 ⇒ x= y/2
  • y : z = 2 : 3 ⇒ z= 3y/2

<u>Rewriting the first equation considering next two:</u>

  • 10y + 10y + 7.5y = 605
  • 27.5y = 605
  • y= 605/27.5
  • y= 22
  • x= y/2 = 22/2 = 11
  • z = 3y/2 = 3*11 = 33

<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

3 0
3 years ago
Can someone help me with this math? I'd be glad to help you with something you need.
mr_godi [17]

Answer:

I believe it would be A bc

Step-by-step explanation:

A= 42

B= 32

C= 20

D= 36

5 0
3 years ago
11/12 - 7/8 in fraction pls help
hjlf

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:            

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.                                    There you have it! The final answer is:

11 /12 -7 /8=1 /24

6 0
3 years ago
Read 2 more answers
I need help it's due 1:25 (eastern time
Nimfa-mama [501]

Answer:

- 7/8

Step-by-step explanation:

m = Δy/Δx = (10-3)/(2-10) = - 7/8

5 0
3 years ago
Read 2 more answers
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