find an equation for the line that passes through the point (7,1) and is perpendicular to the line x-3y+25=0​

Answers

Answer 1

Answer:

y + 3x = - 20

Step-by-step explanation:

x - 3y + 25 = 0

- 3y = - 25 - x

3y = 25 + x

y = ( 25 + x )/3

y = ( 1/3 )x + 25/3

Y= mX+ c

m= gradient= 1/3

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(1/3) = -3

Now for the perpendicular line equation, we have:

y = 1

x= 7

m= -3

y - y1 = m ( x - x1 )

y - 1 = -3 ( x + 7 )

y-1 = -3x -21

y + 3x = -20


Related Questions

The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?

Answers

Answer:

18

Step-by-step explanation:

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw

Answers

Step-by-step explanation:

you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees

Need help with number 6 I’ll mark you as the brainliest please help.

Answers

Answer:

Formula

Step-by-step explanation:

[tex]Equation (y-y1) = m(x-x1)[/tex]

Plug in 8 for x1 and -1 for y1 and 3/4 for m

Solve for y

Use basic math skills

27 - 4x + -7 ( 1 + 3x)

Answers

Answer:

-25x + 20

Step-by-step explanation:

I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:

27 -4x -7 -21x

We can now combine like terms to simplify:

-25x + 20

27-4x+-7(1+3x)

27 - 4x - 7(1+3x)

27 - 4x - 7 - 21x

-25x + 20

Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3

Answers

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Which two numbers have a product of −18 and a sum of −7?

Answers

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!


A thermometer read -17° F at 1:00 a.m. By 2:30 a.m., the temperature had dropped 9.1° F. What was the temperature at 2:30
a.m.?

Answers

Answer:

-26.1°

Step-by-step explanation:

So when the temperature decreases, you want to get more negative. So -17°-9.1°=-26.1°

Round to the nearest hundredth 13.459

Answers

Answer:

13.46

Step-by-step explanation:

The correct response is 13.46.

Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Answers

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

Which equation has the solution x = 9?
Select each correct answer.
+7= 8
4+ 5x = 18
81 – 3 = 6
х
2x – 3 = 15
24 – 2x = 13
3x + 2 = 25

Answers

Answer:

2x – 3 = 15

Step-by-step explanation:

2 * 9 = 18 - 3 = 15. correct

+7 = 8, no I don't really now what you mean by this...

81 - 3 = 6x? > (81 - 3 = 78) = (6 * 9 = 54), no, please tell me if I'm interpreting this right.

4 + 5x = 18 > 5 * 9 = 45 + 4 = 49, no

2 * 9 = 18, 24 - 18 = 6, no

3 * 9 = 27 + 2 = 29, no

helllllppppp pleaseeeeee

Answers

Answer:

2nd choice

Step-by-step explanation:

The slope is 2/3 (rise/run) and the y-intercept is -2

When you put those values into f(x) = mx + b, you get f(x) = 2/3x - 2

UM WHAT I NEED SOME ADMINS LOOK

Answers

Answer:

LOL UGH THAT KEEPS HAPPENING TO ME

Step-by-step explanation:

Answer:

try reloading the page or check your internet

Step-by-step explanation:

The variables x and y are related proportionally. When x = 8, y = 20. Find y when x = 80.

Answers

Answer:

y = 200

Step-by-step explanation:

Use the equation y = kx, where k is a constant.

Plug in the given x and y values, then solve for k:

y = kx

20 = k(8)

2.5 = k

Then, plug in k and the given x value, and find y:

y = 2.5x

y = 2.5(80)

y = 200

So, y = 200 when x = 80

Find the value of the power.
3 exponent 5

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3=243

Answer:

243

Step-by-step explanation:

It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6

Answers

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

   

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

what is the price of a 12 dollar game 30% off

Answers

Answer:

$8.40

Step-by-step explanation:

12x.30=3.6

12-3.6=$8.40

Answer:

8.4

Step-by-step explanation:

30% of 12 = 3.6

12 - 3.6 = 8.4

A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
А
6 3 11
B 11 26
C 3: 11
D
11: 3
Ο Α
o
D

Answers

Answer:

d

Step-by-step explanation:

HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN

Answers

Answer It’s the last choice

what’s the decimal expansion of 4/11

Answers

Answer: 0.36363636

Step-by-step explanation:

The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)

Answers

Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two

Answers

Answer:

21

Step-by-step explanation:

The mean output of a certain type of amplifier is 466 watts with a standard deviation of 10 watts. If 32 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 1.6 watts? Round your answer to four decimal places.

Answers

Answer:

0.8186

Step-by-step explanation:

The formula to use to solve this question is given as:

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

P(z < (x-μ)/σ/√n)

(x-μ) = 1.6 watts

σ = 10 watts

n = 32 amplifiers

Hence,

P(z < 1.6/10/√32)

P(z < 1.6/1.767766953)

P(z < 0.9050966799)

Approximately to 2 decimal places)

P(z < 0.91)

= 0.81859

Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.

A triangle has a base length of 10 inches and a height of 4 inches.
What is the area of the triangle?

Answers

Answer:

No, The answer is 20. Remember area of triangle equals 1/2bh (or half of base and height multiplied.)

The area of triangle that has a base length of 10 inches and a height of 4 inches is 20 square inches.

What is area of a triangle?

The area of a triangle is one half the product of its base multiplied by height. Mathematically -

Area [Δ] = 1/2 x base x height

Given is a triangle (Δ) has a base length of 10 inches and a height of 4 inches.

We can write -

Base Length [B] = 10 inches

Height of triangle [H] = 4 inches

Area of triangle (Δ) = 1/2 x B x H

A(Δ) = 1/2 x B x H

A(Δ) = 1/2 x 10 x 4

A(Δ) = 20 square inches

Therefore, the area of triangle that has a base length of 10 inches and a height of 4 inches is 20 square inches.

To solve more questions on Triangles, visit the link below-

https://brainly.com/question/15442893

#SPJ5

Al changes saved
4. Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four
are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?
O 7.14%
350%
O 1.90%
O 23.81%

Answers

Answer:

1.90 percent

Step-by-step explanation:

3. A recipe for apple cider calls for 4 cups of apple juice and 3 cups of water. Which equation can be used to find x, the percent of apple juice in the recipe?​

Answers

Answer:

what are the options

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I only have 30 minutes left​

Answers

Answer:

what is the question?

Step-by-step explanation:

U only posted a picture of a half paragraph

What’s the question
I can’t see the whole thing

please help me with this i need help with it+ send the answers not the explnation please

Answers

Answer: the picture is blocked

Step-by-step explanation:

The depth of the Mariana Trench is 10,911m. Convert the depth to kilometers.

Answers

Answer:

Step-by-step explanation:

Now I didnt solve the question but if you do a google search on how many metres in a kilometre, then divide km by metres

Answer:   10.911

Step-by-step explanation:

A hotel manager records the number of bookings made at various prices during July.

What type of correlation does the graph show?

A. strong positive correlation

B. weak positive correlation

C. strong negative correlation

D. weak negative correlation

E. no correlation

Answers

Answer:

C. strong negative correlation

Step-by-step explanation:

I would say the answer is C. a strong negative correlation.

Firstly, the graph is 'going downwards', meaning that the relationship is negative. This is because one variable decreases when the other is increased. I think it is a strong relationship because the trend is quite clear through the points and the slope is moderately steep.

Hope this helped!

solve for g when g=1/6(w+40)​

Answers

9514 1404 393

Answer:

  g = 1/6(w+40)​

Step-by-step explanation:

The given equation is already solved for g. Nothing need be done.

  g = 1/6(w+40)​

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