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3 years ago

Find the equation of a line that is perpendicular to y=−12x−1 and passes through the point (3,2).

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

Answer:

y = (1/12)*x + 7/4

Step-by-step explanation:

y=−12x−1

Perpendicular line:

y = a*x + b

y = (1/12)*x + b

2 = (1/12) * 3 + b

2 = (3/12) + b

2 = 1/4 + b

2 - 1/4 = b

7/4 = b

Perpendicular line:

y = (1/12)*x + 7/4

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Help ! Taking the test right now

Zarrin [17]

The answer is the third one

5 0

3 years ago

Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna

Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

$\mu = 2.40$

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177$

21.77% probability that the antenna will be struck exactly once during this time period.

3 0

3 years ago

If one zero of the quadratic polynomial x²+3x+k is 2, then the value of k is. [ ]

Alex_Xolod [135]

Answer:

b) -10

Step-by-step explanation:

x^2 + 3x + k = (x - 2)(x - a)

(x - 2)(x - a) = x^2 - 2x - ax + 2a = x^2 + [-2 - a)x] + 2a

-2 - a = 3

2a = k

a = -5

k = 2(-5) = -10

Answer: b) -10

3 0

2 years ago

Read 2 more answers

Ronnie collects horseshoes and hand grenades and places

lesantik [10]

Answer: 3.5 pounds

Step-by-step explanation:

3 s + 7 h = 32 s = shoes h= hand grenades

6 s + 2 h = 22 Multiply first equation by -2 and add to second equation to get :

-12 h = -42

h = 3.5 pounds

sorry if this was late

8 0

2 years ago

At the start of 2014 Tim's house was worth 100,000.

Novay_Z [31]

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 100000 * (1.10) ^ 4
y = 146410
Answer:
the value of his house at the start of 2018 is:
y = 146410

5 0

3 years ago