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Paraphin [41]
3 years ago
14

A line passes through the point (–1,–2) and is perpendicular to the line with the equation y = –x – 1. What's the equation of th

e line?
Question 8 options:

A)

y = x – 1

B)

y = –x + 3

C)

y = –x + 7

D)

y = x – 5
Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

A) y = x - 1

Step-by-step explanation:

First, solve for the new slope by taking the opposite reciprocal, and you will get:

1

Then, solve for the equation in point-slope form:

y+2 = 1(x+1) or just y+2 = x+1

Last, solve for y on one side:

y = x-1

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malfutka [58]

Answer:

∠H≅∠B

GH/DJ = AB/DC

Step-by-step explanation:

4 0
2 years ago
6. The heights of men selected from a particular population have a normal distribution with mean 68 inches and standard deviatio
olchik [2.2K]

Answer:

a) the proportion is 0.159 (15.9%)

b) the proportion is 0.524 (52.4%)

c) Ralph is 70.958 inches tall

Step-by-step explanation:

defining our random variable X= heights of men , then we can define the standard random variable Z as

Z= (X- μ)/σ , where  μ is the population's mean and σ is the corresponding standard deviation of X

then for X=72

Z= (X- μ)/σ

Z= (72-68)/4 = 1

a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)

b) for X=64 and X=74

Z₁= (64 -68)/4 = -1

Z₂= (74-68)/4 = 1.5

then

P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) =  0.933- 0.159 =0.774

c) Z₃ = 0.933 - 0.774*0.25 = 0.7395

thus

Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4  = 70.958 inches

therefore Ralph is 70.958 inches tall

4 0
3 years ago
The volume of a cylinder is 525 cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder? The hei
elena-14-01-66 [18.8K]

you do not give a value for PI so I am using 3.14

V=PI x r^2 x H

you know volume and radius so put those into the equation

525 = PI (3.14) x 5^2 x H

525 = 3.14 x 25 x H

525 = 78.5 x H

divide both sides by 78.5

6.687 = H

round off answer as needed 6.7cm or 6.69cm

 NOTE : the answer may vary slightly depending on the value of PI used.

 but this is how you calculate the height.

8 0
3 years ago
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Answer: x = 42

Step-by-step explanation:

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Answer:

why u should go f u cc k urself

Step-by-step explanation:

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