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allsm [11]
2 years ago
13

Convert 20 miles in km

Mathematics
1 answer:
Tamiku [17]2 years ago
4 0

Answer:

32.1869

Step-by-step explanation:

Formula :

for an approximate result, multiply the length value by 1.609

<u>help me by marking as brainliest....</u>

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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Which expression is equivalent to x^4 + 4x^2 - 45?
Nikitich [7]

Answer:

( {x}^{2}  - 5)( {x}^{2}  + 9) = 0

Step-by-step explanation:

The given expresion is

{x}^{4}  + 4 {x}^{2}  - 45 = 0

We can rewrite this as:

({ {x}^{2}) }^{2}  + 4 {x}^{2}  - 45 = 0

We obtained a quadratic equation in x²

Let us split the middle term to get:

({ {x}^{2}) }^{2}  + 9 {x}^{2}  -  5{x}^{2}  - 45 = 0

We factor by grouping to get:

{x}^{2} ( {x}^{2}  + 9) - 5( {x}^{2}  + 9) = 0

We factor further to get:

( {x}^{2}  - 5)( {x}^{2}  + 9) = 0

The correct answer is A.

6 0
2 years ago
Write equation of a line in point slope form that passes through (3,8) and has a slope of<br> 5?
hjlf

Answer:

 y = 5x - 7

Step-by-step explanation:

(3 , 8) ; slope(m) = 5

Equation of the line: y - y₁ = m( x- x₁)

y - 8 = 5(x - 3)

y -8 = 5x - 5*3

y-8 = 5x - 15

   y = 5x - 15 +8

  y = 5x - 7

7 0
3 years ago
I am doing homework can I please get some help?
Arada [10]

Answer:

i need point

Step-by-step explanation:

popopopo

5 0
3 years ago
A student who is trying to write a paper for a course has a choice of two topics, a and
Kitty [74]
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
4 0
3 years ago
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