What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14

Answers

Answer 1

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer 2

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

Find the slope of given line by converting it into slope intercept form.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

Comparing to y = mx + c ,

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

Using point slope form ,

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

Hence the equation of line perpendicular to it is 2x + y + 5 = 0 .
What Is An Equation Of The Line That Passes Through The Point(-1,-3) And Is Perpendicularly To The Line

Related Questions

Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?

Answers

Answer:23.96

Step-by-step explanation:

100-90=10%

10/100=0.10

0.10(8550)=855

100-50=50%

50/100=0.50

0.50(782)=391

855+391=1246

1246/52=23.96

Please help
Find the Arc Length of arc b, given the radius is 5 cm.

Answers

Answer:

Arc length= 180/360 ( 2 pi × 5cm)

180/360 (2 ×22/7×5cm)

18/36=1/2× 2×22/ 7 ×5cm

1×22/7×5cm

22/7×5cm

110/7

=15.715cm

A survey showed that 40% of students would select the Ferris Wheel as their favorite ride in the amusement park. How many students out of 5,000 would you predict would prefer the Ferris Wheel?
Group of answer choices

2,400

3,000

2,000

1,250

Answers

Answer:

2000

Step-by-step explanation:

40/100 * 5000 = 2000

As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 84%. A random sample from a recent shipment of alumina yielded the following results (in percent):
93.2, 87.0, 92.1, 90.1, 87.1, and 93.4.
A hypothesis test will be done to determine whether or not to accept the shipment.
a. State the appropriate null and alternate hypotheses.
b. Compute the P-value.
c. Should the shipment be accepted? Explain.

Answers

Hi how was your day today Mr. person

Please help me with this

Answers

Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.

Answers

The answer is r=-16sin0

Answer:

their graphed

Step-by-step explanation:

An elevator has a placard stating that the maximum capacity is 1600 lb�10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1600/10=160 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb.​ (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.)
1.The probability the elevator is overloaded is?
*-Please show work to help me understand-*
2. Does this elevator appear to be​ safe?
A.Yes, there is a good chance that 10 randomly selected people will not exceed the elevator capacity.
B. No, 10 randomly selected people will never be under the weight limit.
C.Yes, 10 randomly selected people will always be under the weight limit.
D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Answers

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.

This means that [tex]\mu = 166, \sigma = 29[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be​ safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

a ladybug moves 1/25 of a mile in 3/5 of an hour. if the lady bug continues at this pace how far in miles doesbit move in one hour

Answers

Answer:

1/15 mile

Step-by-step explanation:

(1/25) / (3/5)

When dividing by a fraction flip it over and multiply

(1/25) * (5/3) = 5/75

Reduce

1/15 mile

1/15
I divided
Hope I helped

I need help graphing the right points so please send a picture of the graph also

In the xy-coordinate plane, the graph of the equation y = 3x2 - 12x – 36 has zeros
at x = a and x = b, where a Part A: Graph the function.

Answers

Answer:

you cant send pictures unless created on a graphing website but ill try to help. you first have to simplify y, and if you could comment a clearer equation that would be nice because your equation is confusing(cant tell if its all together

A rectangular prism that has a width of 3 1/2 what is the width of the prism in terms of cubes?

Answers

Answer:

84 cubes :)

Step-by-step explanation:


HELPP FAST!! Will mark brainliest

Answers

Answer:

No

Step-by-step explanation:

Because it is not going up by the same amount everytime

Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.

Answers

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight line distance from your starting point​

Answers

Answer:

17.205 miles

Step-by-step explanation:

Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.

14^2 + 10^2 = c^2

196 + 100 = c^2

296 = c^2

It doesn't have a perfect square root, you can either say that it is [tex]\sqrt{296}[/tex] or approximately 17.205 miles.

A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls

Answers

Answer:

[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

20 feet

Step-by-step explanation:

[tex]1)\ A = \frac{b * h}{2}[/tex]

[tex]2)\ 120 = \frac{12b}{2}[/tex]

[tex]3)\ 12b = 240[/tex]

[tex]4)\ b = 20[/tex]

5. Michelle sells flowers for weddings. The
price she charges (P) can be approximated by
the equation: P = 40 + 12d , where d
represents how many dozens of flowers are
ordered. Ann paid Michelle $400 for the
flowers at her wedding. How many dozens of
flowers did Ann order?
A. 37
B. 30
C. 25
D. 22

Answers

Answer:

B. 30

Step-by-step explanation:

since Ann paid $400, you set the equation equal to 400

400=40+12d

Then you solve for d to find how many dozen of flowers Ann ordered.

400-40=12d

360=12d

360/12=d

d=30

The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 43 and a standard deviation of 11. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 10 and 43

Answers

Answer:

The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 43

Standard deviation = 11

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.

What is the approximate percentage of lightbulb replacement requests numbering between 10 and 43?

43 is the mean

10 = 43 - 3*11

So 10 is 3 standard deviations below the mean.

Of the 50% of measures below the mean, 99.7% are between 3 standard deviations below the mean(10) and the mean(43). So

0.5*0.997 = 0.4985.

0.4985*100% = 49.85%.

The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.

In which quadrant of the coordinate plane is the point (−7,−212) located?

1. Quadrant I

2. Quadrant II

3. Quadrant III

4. Quadrant IV

Answers

Answer:

Quadrant 3

Step-by-step explanation:

3. Find the value of x.
(2x-71

Answers

Wait is their only three answer choices? I got 40 but I’m guessing the closest one would be 36.5.

Answer:

33

Step-by-step explanation:

2x-7 = 73

2x = 73-7

2x = 66

x = 66÷2

x = 33

Therefore, the value of x is 33

902
If the probability that a person will die in the next year is
what is the
100,000'
probability that the person will not die in the next year?
A. 0.902%
B. 99.098%
C. 0.098%
D. 99.902%

Answers

Answer:

B. 99.098%

Step-by-step explanation:

The probability that the person will not die in the next year is 99.098% .

Correct option is B.

What is probability?

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Probability of a person will die next year = 902/100000

sum of the probabilities of all events in the sample space is 1.

Then probability of the person will not die in the next year

= 1 - 902/100000

= 1 - 0.00902

= 0.99098

= 0.99098 × 100/100

= 99.098%

Hence, 99.098% is the probability that the person will not die in the next year.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

3x + 7y = 21 –3x – 7y = 42
Solve the system of equations?

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

negative x plus 1 is less than 5

Answers

Answer:

-x+1 < 5

Step-by-step explanation:

Not sure what the question is?

Answer:

-x + 1 < 5

Step-by-step explanation:

negative x plus 1 is less than 5

-x + 1 < 5

-TheUnknownScientist


What is the volume of a cylinder with a base area of 23 cm2 and a height of 15 cm

Answers

Answer:

V =345 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh where B is the base and h is the height

V= 23 * 15

V =345 cm^3

Answer:

345cm³

Step-by-step explanation:

AB h = 23 x15

= 345cm³

Your welcome!

Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?

Answers

Answer: 625 steps per hour

Step-by-step explanation:

10,000/16=625

Which expressions correctly represent the area of the triangle XYZ?

Answers

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                              = [tex]\frac{1}{2}(XZ)h[/tex]

                              = [tex]\frac{1}{2}(18)h[/tex]

By applying sine rule in the ΔYPZ,

sin(38°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(38°) = [tex]\frac{h}{14}[/tex]

h = 14[sin(38°)]

Therefore, area of the given triangle = [tex]\frac{1}{2}(18)(14)sin(38)[/tex]

By applying sine rule in ΔYPZ,

sin(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(58°) = [tex]\frac{h}{10}[/tex]

h = 10sin(58°)

Area of ΔXYZ = [tex]\frac{1}{2}(18)(10)sin(58)[/tex]

Therefore, Options (2) and Option (1) are the correct options.

The height corresponding to the longest side of the triangle whose sides are 42cm,

34cm and 20cm in length is ?

plz help me urgently

Answers

Answer:

sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points

e

Step-by-step explanation:

Answer:

ty for the points.

Step-by-step explanation:

What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft​

Answers

Answer:

134

Step-by-step explanation:

In a histogram, the ________
consists of intervals or ranges.

I really should pay more attention in class....

Answers

I think it’s width but I’m not sure

Write the slope intercept form of this equation 7x-5y=35

Answers

Y=-7/5x-7


Because if u solve the problem this is the answer


find the principle of money if intrest in 3 years with 5 percent per annum is rs 300​

Answers

Answer:

HI from Nepal

Answer:

let principal be x

interest =Rs300

time=3 years

rate=5%

To find principal use formula,

Interest=P*T*R/100

Rs300=x*3*5/100

Rs300*100=15x

Rs30000=15x

Rs30000/15=x

Rs2000=x

Step-by-step explanation:

therefore principal=Rs 2000

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