Write an equation of the line passing through point P(3,8) that is parallel to the line y
= 1/5 (x+4)

Answers

Answer 1

Answer:

y=1/5(x+37)

Step-by-step explanation:

y=1/5x+4/5

Plug in the (3,8)

8=1/5(3)+b

8=3/5+b

7 2/5=b

y=1/5(x+37)

Answer 2

The equation of the line is y = 1/5(x + 37)

Since our new line is parallel to the line y = 1/5(x + 4), and 1/5 is the gradient of the line y = 1/5(x + 4), the gradient of the new line is 1/5.

Using the equation of a line in slope-point form,  [tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex] where (x₁, y₁) = (3, 8) and m = 1/5

Substituting the values of the variables into the equation, we have

[tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex]

[tex]\frac{y - 8 }{x - 3 } = \frac{1}{5}[/tex]

Cross-multiplying. we have

5(y - 8) = x - 3

Expanding the bracket, we have

5y - 40 = x - 3

5y = x - 3 + 40

5y = x + 37

y = 1/5(x + 37)

So, the equation of the line is y = 1/5(x + 37)

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Related Questions

Solve for g: 19 > 2(g + 7.9).

Answers

Answer: g < 1 3/5

Step-by-step explanation:

first, i removed the parentheses.

19 > 2g + 15.8

then, i moved the terms.

-2g > 15.8 - 19

the, i calculated that.

-2g > -3.2

finally, i divided both sides.

g < 1.6

the alternative form is g < 1 3/5

(basically, the second answer)


Help me with math plzzzzzzzzzzzzzz

Answers

I think it’s a hope this helps

Answer:

Its A

Step-by-step explanation:

If​ possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.

Answers

Answer:

Option C.

a = 20.3

Step-by-step explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines, [tex] a^2 = b^2 + c^2 - 2bcCosA [/tex]

Plug in the values into the equation:

[tex] a^2 = 16^2 + 32^2 - 2(16)(32)Cos32 [/tex]

[tex] a^2 = 1,280 - 1,024*Cos32 [/tex]

[tex] a^2 = 1,280 - 868.40125 [/tex]

[tex] a^2 = 411.59875 [/tex]

[tex] a = \sqrt{411.59875} [/tex]

[tex] a = 20.3 [/tex] (nearest tenth)

Your friend, Margret, needs your help in solving a math problem that she got from her math teacher.
This was the problem:

What number can be put where the question mark is?
Justify your answer.
? =

Answers

Answer:

We need to put x = -4 where the question mark lies.

Step-by-step explanation:

Given the expression

[tex]\left(x^6\right)^0=x^4\cdot \:\:x^?[/tex]

First, solve the left-hand side of the equation

[tex]\left(x^6\right)^0[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0[/tex]

Thus, the expression becomes

[tex]\left(x^6\right)^0=1[/tex]

So we have to put the number which can make the right-hand side of the equation equal to 1.

Let's put x = 4 where the question mark lies and solve the equation to check whether the right-hand side of the equation becomes 1.

[tex]x^4\cdot \:\:x^{-4}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]=x^{4-4}[/tex]

[tex]=x^0[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0[/tex]

[tex]=1[/tex]

Thus, both equations become equal when we put x = -4 on the question mark.

[tex]\left(x^6\right)^0=x^4\cdot \:\:x^{-4}[/tex]

[tex]1=1[/tex]

Therefore, we need to put x = -4 where the question mark lies.

what is the radius of the circle?

Answers

Answer:

Step-by-step explanation:

Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96

Answers

Answer:

-24.35, -7.96, 11.20

Step-by-step explanation:

Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.

Positive is bigger

Negative is smaller

*EXTRA*

negative plus negative = positive

negative plus positive = negative

negative times negative = positive

negative times positive = negative

Hopefully you will understand!

If the relationship is proportional, what is the missing value from the table?
-3
-5
-7
у
9
?
21
-18
-15
O 15
O 18

Answers

Answer:

B. -15

Step-by-step explanation:

Took the test, this question was correct when you choose -15.

Answer:

b

Step-by-step explanation:

What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°

ANWSER
JK=104°
KIJ=52

Answers

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

What is the measure of the angles?

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

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plz help me im struggling hard​

Answers

Answer:

0.20 × 65 is what you would do for the second

Step-by-step explanation:

btw listen to yungblud

Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that [tex]C(m)[/tex].

Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form [tex]C(m) = am+b[/tex]

What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.

Therefore, [tex]C(0)=55[/tex]

So, [tex]C(m) = am + 50[/tex]

The cost will increase by $0.20 for each mile, wich tells us that [tex]a=0.20[/tex]

Finally, our expression is [tex]\boxed{C(m) = 0.2m+55}[/tex]

If we want to know how much would you pay if you drove 65 miles, we want to know what [tex]C(65)[/tex] is.

By plugging [tex]m=65[/tex] in the expression, we get

[tex]C(65) =68[/tex]

So you would pay $68

PLEASE HELP ME please

Answers

Answer:

(-1, 1/10) and (-2, 1/100)

I can't really explain because I just put it into my graphing calculator and clicked the trace button to find the y value at certain x values. A good website to do that on is Desmos

9965 divided by 19.9 estimate

Answers

Answer: 500.7

500.75 = 500.7

Step-by-step explanation:

The estimated value is 500

What is estimation?

Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').

Given that, 9965 divided by 19.9 estimate

Let 9965 ≈ 9970

19.9 ≈ 20

9970 ÷ 20

9970 / 20

= 498.5

≈ 500

Hence, the estimated value is 500.

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x^3-y^3 how to solve?

Answers

Answer:

x^(3)-y^(3)

Step-by-step explanation:

Classify the triangle​

Answers

Answer: B I believe

Step-by-step explanation:

Answer:

Isosceles becuase there are 2 equal sides but 1 side is different.

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?​

Answers

The correct answer is C

Step-by-step explanation:

I found this because the pond already has 3000 fish so y can not be less than 3000.  Thus eliminating choice A since it says y>-3000.

That reasoning also eliminates answer D because real numbers can also include negatives.

Finally, since y has to be greater than 3000, answer B is not possible as it says y>0 which means it could be less than 3000.

In conclusion, Answer C is correct

i have a test and its due tomorrow

Answers

Answer: 1 & 5 are both corresponding angles

Step-by-step explanation: because they are both on the top and on the same side that's what makes them corresponding angles

Love U Daddy!

Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.

Answers

Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

How to solve

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

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Select ALL the terms that are like 5b2

.
Question 4 options:


12b2



5


5b


10b2

Answers

Answer:

12b2 10b2

Step-by-step explanation:

write 5/6 - 7/9 in simplest form

Answers

9514 1404 393

Answer:

  1/18

Step-by-step explanation:

18 is a suitable denominator for both fractions:

  5/6 = 15/18

  7/9 = 14/18

Then the difference is ...

  5/6 -7/9 = 15/18 -14/18 = (15 -14)/18 = 1/18

Miguel ate 1/4 of a pizza in 1/2 of an hour. How much pizza will Miguel eat in one hour?

Answers

Answer:

he will eat 2/4 or 1/2 in 1 hour

Step-by-step explanation:

help help help help​

Answers

Step-by-step explanation:

B: 9,000+ 100 + 60 + 7 + 3/10 +6/100 + 4/1000

Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed

Answers

Answer:

I believe the answer is 84 centimeters.

Step-by-step explanation:

If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.

256 students were sitting in the cafeteria.47 students came in 32 went back to class​

Answers

Answer:

271

Step-by-step explanation:

256 + 47=303

303 - 32= 271

As of the moment I am writing this question, the population of the United States is 326,891,705 people. You are building an app that targets the US population and expect to get 1/10 of 1% of the population using your app in the first 4 months. The estimated data you need to store per user averages 10 GB. What is the minimum storage you must plan to have in place for app to serve the users in the first 4 months

Answers

Answer:

3.3 PB

Step-by-step explanation:

It is given tat the population of the U.S = 326,891,705 people.

Population expected to use the app in first 4 months = 1/10 of 1%

Storage capacity of an user is = 10 GB

Therefore,

[tex]$\frac{1}{10} \text{ of}\ 1$[/tex] % = 0.1%

               = 0.001

The user content = 0.001 x 326,891,705

                            = 326891.705 users

10 GB storage per user.

Therefore,

Size =   326891.705 x 10

       =  3268917.05 GB

       = 3.26 PB

Hence size of the minimum storage would be 3.3 PB.

Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.

Answers

Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

if rectangle PQRS is rotated 180° clockwise around the origin what are the new coordinates?

Answers

Answer:

Step-by-step explanation:

it would be on the 2nd box on the top left

p=-8,3

r=-2,6

s=-8,6

q=-2,3

Two shirt screening companies charge a set up fee and a charge for
each shirt made. The table shows the total costs for the company
Shirt Express. The total cost y (in dollars) for x shirts made by Shirt
Custom is represented by the equation y = 8 + 46.

Answers

Answer:

y=54

Step-by-step explanation:

Find the Values of X and Y in the diagram. PLZ HELP

Answers

Answer: x is 47, y is 75

Step-by-step explanation:

5x+2y=7 as a ordered pair

Answers

(1, 1), 5 + 2 = 7, not that hard!

Step-by-step explanation:

(1, 1), 5 + 2 = 7

Please provide a definition of "probability" in your own words. Please write in complete sentences.

Answers

Answer:

probability is the likelyhood of something occurring. Like, rolling a dice: you have a 1/6 chance of getting a 3. (because it has six sides.)

Probability of a Lilly hood my g

please help me out with this math problem.​

Answers

Answer:

i believe it is the second one.

Step-by-step explanation:

hope this helps! pls mark as brainliest!

Answer:

the second is the answer

Step-by-step explanation:

98-98+g = 150-98

= 52

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