Write the equation of a line passing through the given point that is
perpendicular to the given line. 3.x – 8y = 16; (-3, 1)

Answers

Answer 1

Answer:

-8x-21=3y or -8/3x-7=y or 8x+y+21=0

Step-by-step explanation:

First find the slope of 3x-8y=16.

3x-16=8y (divide both sides by 8 so that y is isolated)

3/8x-2=y The slope is 3/8. The perpendicular slope is the negative reciprocal of 3/8, which is -8/3

Using the points, the equation of the line can be found.

(-8/3=y-1/x-(-3))3(x-(-3) (3(x-(-3) is the common denominator

This equals -8x-24=3y-3, add three to both sides which equals -8x-21=y.

The other answers are written in slope y-intercept form and general form.

*Note: x-(-3) can be written as x+3


Related Questions

express 12 2/3 in simplest radical form

Answers

Hope this will help you if I am answering this right.

Help! I’ll give I Brainlyst to the first person but please I need it right now!

Answers

Answer:What’s your question?

Step-by-step explanation:

4316 rounded to the nearest 100

Answers

4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

What is Rounding of a number ?

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

To know more about  Rounding check:

https://brainly.com/question/29878750

#SPJ2

A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960

Answers

H. 300 I’m almost sure.

PLZ HELP IM HAVING TROUBLE ON MY RSM!

Answers

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

WILL GIVE BRAINLY TO THE CORRECT ANSWER Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.

A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer:

B

Step-by-step explanation:

Hopes this helps

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!

Step-by-step explanation:

Write the equation of the line that passes through the points (2,5) and (2,-6). Put
your answer in fully redaced point-slope form, unless it is a vertical or horizontal line.
Answer:
Submit Answer
attempt 1 out of

Answers


m = (y-y)/(x-x)
= (5–6)/(2-2)
= 1/0

1/0 is undefined so the line is a vertical line

Determine triangle type?

Answers

Answer:

scalene right

Step-by-step explanation:

all side are opposite and there is a 90% so that makes it right

Scalene right angled triangle

pointsssssssssssssssssssssss​

Answers

Answer:

hello thank you

Step-by-step explanation:

Answer:

TYSM    Have a great Day!!!

:)

Step-by-step explanation:

Eddie is playing hide-and-seek with Harold and Gavin. Harold is hiding 12 meters south
of Eddie, and Gavin is hiding 16 meters east of Harold. How far apart are Eddie and Gavin?

Answers

Eddie and Gavin are 40 meters apart.

very easy! 6th grade stuff! brainliest promised!

Answers

Answer:

It's Number A.

Step-by-step explanation:

It is number A because she walks 15 miles per hour, the ratio would be

hours - miles.

So, it means there are 15 miles to 4 hours.

jade has 4 bags of chips each bag has x amount of chips. How many chips are in total?

Answers

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

through: (3,3), parallel to y=8/3x+5

Answers

Answer:

(0,5)

Step-by-step explanation:

pls answer I give brainliest

Answers

Answer:

Part A: so that no single branch has to much power

Part B: "Each branch of government must check the actions of the other two branches to prevent one branch from having too much power."

Hope this helped!!!

Answer:

Part A is the first choice and part B is the second choice

What is the solution for x in the equation?
3
*
= 2r 쪽
OA.
r =
ICO
OB.
=
مراجع
OC.
=
OD
=
-
Reset

Answers

The answer would be C, x=4/3

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

低于当地人民:或立场上有一些事情了!儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number h of hours you can rent the canoe.

Answers

Answer:

Step-by-step explanation:

$13+$5.50=$18.50

$29.50 divided by $18.50=Your Answer

Answer:

You can rent canoe for 3 hrs.

Step-by-step explanation:

Say R = Rent

h = hours of using

* Rent needs to be added when we pick the canoe itself

* Hours should be multiplied with $5.50 to get total spent money.

R + 5.50h = 29.50

R=13

13+5.50h = 29.50

5.50h= 29.50-13

5.50h = 16.50

h = $16.50/$5.50 (

h = 3

if 60 of a number is 90 what is the number% of a number is 180 what is 150% of the number of beads. Hurry, it's for a test

Answers

Answer:

If 60% of a number is 90.

Suppose that the number is N.

60% of that number can be written as:

(60%/|00%)*N = 0.6*N = 90

Now we can solve that for N

0.6*N = 90

N = 90/0.6 = 150.

for the second part, we have that:

% of a number is 180, what is the 150%?

We do not have the first percentage, so i could not really answer this, so lets do it in a general way.

A% of a number N, is equal to 180.

(A%/100%)*N = 180

(A/100)*N = 180

Then:

N = 180*(100/A).

Now we want to compute the 150% of this number, this will be:

(150%/100%)*N

0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A

Where A will depend on the first percentage.

the question is on the sheet ​

Answers

y=1/2x-5 is the answer

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?

Answers

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men            3 m hole              4 days

10 men           7 m hole             x days

-----------------------------------------------------

As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:

[tex]rate\:=\:\frac{4}{3}[/tex]

Then  [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.

so

[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]

             [tex]=5.6[/tex]   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Find the next two numbers and state a rule describing each pattern

44. 0,7,14,21, ... 45. 1,3,9,27, ... 46. 1,4,9,16, ...

Answers

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!

Answers

Answer:

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

and

[tex]339.292 cm^3[/tex]

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

[tex]r = \frac{8}{2}=4[/tex]

r = 4

Plug everything into the volume equation.

[tex]V = \pi 4^2 (9)[/tex]

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

[tex]r = \frac{4}{2}=2[/tex]

r = 2

Plug everything into the volume equation..

[tex]V = \pi 2^2 (9)[/tex]

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]

This means..

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

That is your answer to the first part of the question.

For the second part, just solve.

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

[tex](\pi*16*9)-(\pi*4*9)[/tex]

[tex](\pi*144)-(\pi*36)[/tex]

[tex]144\pi-36\pi[/tex]

[tex]108\pi[/tex]

[tex]339.292[/tex]

Don't forget the units.

[tex]339.292 cm^3[/tex]

Hope this helped you!

Answer:

What ever the other guy said

Step-by-step explanation:

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At what rate does this bamboo grow? Simplify your answer and write it as a proper fraction, mixed number, or whole number. centimeters per day

Answers

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = [tex]\frac{y}{x}[/tex]

We are given that:

[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]

Putting the values, we get:

[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]

Choose the fraction pair that is Not equivalent.


¾ and 75/100


-5/10 and -3/6


20/6 and 3 2/20


-1 1/3 and -4/3

Answers

The third one my dear sir!

q1) find 80% of £120
q2) find 60% of £980
PLease show working thank uh

Answers

q1, 96£ q2, 588€

Step-by-step explanation:

q1, 120€×80/100 the zeroes are cancelled then 12×8=96€

q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€

Guys please answer this. Im in dire need of your help! ):

why can we write 1/a^n=a^-n?

Answers

Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

[tex]\frac{1}{2}[/tex] = 0.5

2^(-1)=0.5

Step-by-step explanation:

[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]

~Math Induction

[tex] \: [/tex]

—Prove that n = 1

[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]

[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]

[tex] \: [/tex]

—Prove that n = k

[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]

[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]

[tex] \: [/tex]

—Prove that n = k + 1

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]

[tex] \: [/tex]

Proved that 1/a^n = a^-n

PLEASE HELP ME I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON

Answers

22 is 4.33333333 minutes, that’s all i know lol
22. 260sec=4min and 20sec

24.
3/7=9/x
3/7=9/21 because 9/3 is 3 so u need to multiply 7 w 3. (3*3=9)

a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!​

Answers

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

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Identify all of the acute angle shown 110 + 3x +11 = 16x + 4 solve for x 1. What did the Russian duke think motivated the Mongols?(A) The Mongols were interested primarily in seizing wealth ratherthan in controlling Russian territory.(B) The Mongols choose their tactics in warfare because those tacitceswere used in fairy tales.(C) The Mongols believed they could fool foes with rumors ofatrocities.(D) The Mongols wanted to be thought of as honorable warriors. What precedent did George Washington set by refusing to run for the presidency a third time? A.Dignity of the officeB. Executive retirementC.Term limits for leadersD.U.S. isolationism what is the distance from -2 to 0 ? Help me please !! Given: P: S, PQ=ST, Q= Please help me! The problem is quick and simple and Ill mark whoever answers it brainliest Which of the following is always altered when a substance undergoes achemical change?a- state of matter of the substance b- color of the substancec- mass of the substance d- arrangement of the atoms composing the substance Which term is the rate at which work is done When 107/333 is written as a decimal, how many digits are in the smallest sequence of repeating digits?A.) 1B.) 2 C.) 3D.) 4Which fraction is equal to 0.370?A.) 37/100B.) 370/999C.) 37/99D.) 37/9When 1/6 is written as a repeating decimal, which digit is repeating?A.) 1B.) 6C.) 7D.) 16What fraction is equal to 0.03?A.) 3/100B.) 1/33C.) 1/11D.) 1/3 What is the major political party that is identified as "conservative" called? A: Democratic Party B: Republican Party C: Shopping party A linear function contains the following points.What are the slope and y-intercept of this function? James dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month. ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWERvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvANSWER I give you a brainliest here the picture HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.x 18.7 + 0 = 8.71.5 x 4 = 6+ 111 + 1 When writing or revising an explanatory text, which terms should you be sure to define?a) any technical terms that most readers would be unable to defineb)technical terms that are used more than once in the textc) words with more than three syllablesd) any proper nouns that some readers may not recognize Need help asappppppp If you are outside when an earthquake occurs, you should run into the closest building. A. True B. False Write an algebraic expression that could be used to find the amount of money in the envelope at the end of n weeks.