What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21?

Answers

Answer 1

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0


Related Questions

What is the GCF of 64, 160 and 224

Answers

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

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7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.

Answers

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

Given:

AB ≅ CD

To prove :

ΔABC ≅ ΔCDA

              Statements                       Reasons

1). AB ≅ CD                             1). Given

2). AC ≅ AC                           2). Given

3). ΔABC ≅ΔCDA                  3). HL property of congruence

Therefore, Option (B) is the correct option.

Answer:

the answer is aas

Step-by-step explanation:

im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle

The value of a stock dropped a total of $18 over a 3-day period. Each day during this stretch the value dropped the same amount. What integer represents the change in the value of the stock after the first day?

Answers

1/3 of 18 = 6

the song dropped $6 each day

Answer: -6

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.

-18/3

You can put more than one answer please help me tyyy

Answers

yea^ (0,-1) (1,1), and (2,3) would be possible solutions

Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared

Answers

Answer:

hb=2.5

Step-by-step explanation:

base = 4

area  =  5

Meg is a veterinarian. She found that 10,or 33%,of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 4 of the 20 he saw this week were boxers. Does each person need to find the​ part, the​ whole, or the​ percent?

Answers

the part not the whole

Dec 18, 11:45:23 AM
Angle A and Angle Bare complementary angles. If m angle A = (4x – 28)° and m
Angle B= (x - 2)°, then find the measure of angle A.
Submit Answer
Answer:

Answers

Answer: 68*

Step-by-step explanation: In pic

please help !!

find the slope of the line through each pair of points ( -5, 10) , (-16, 8)

Answers

Answer:

-2/11

Step-by-step explanation:

y2-y1/x2-x1

8-10 / -5 -(-16)

-2/-5 + 16

-2/11

hi ok pls help me 78/90 divided by - 68/190

Answers

Answer:

-0.00006707946

Step-by-step explanation:

I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night

Can someone one help me

Answers

Answer:

28

Step-by-step explanation:

what you do is add 39 plus 74

that answer will give you 113 so then you subtract 180 from that

then you get 67, then what you do is subtract 39 and you would get 28

x = 28

HELP ME PLEASE!!!
GIVING OUT BRAINLIEST TO THE CORRECT ANSWER<3

Answers

Given = 1 (it is the given equation)

Addition property of equality = 2 (you add 2x to both sides)

Division property of equality = 3 (you divided both sides by 6)

(x - 4)(2x - 1)(3x - 2) = 0


What is the product of all values of x that satisfy the equation above?

Answers

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

2

3

The final solution is all the values that make  

(

2

x

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

2

3

Decimal Form:

x

=

0.5

,

0.

¯

6

The product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

What is algebraic expression?

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x - 4)(2x - 1)(3x - 2)

The given expression is -

(x - 4)(2x - 1)(3x - 2) = 0

We can write -

(x - 4) = 0   or   (2x - 1) = 0   or   (3x - 2) = 0

x = 4   or   x = 1/2   or   x = 2/3

The product of all values of {x} that satisfy the equation above is -

4 x 1/2 x 2/3

4/3

Therefore, the product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

To solve more questions on simplifying expressions , visit the link below

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Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?

Answers

Answer:

320 Customers took the survey

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

Solve 2x>8 or 2x< 4. ​

Answers

Answer:

2x=8

x=8/2

x=4

2x=4

x=4/2

x=2

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!

Solve -2t + 5 ≥ -7.


t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6

Answers

Hope that helped! The answer is t is less than or equal to 6

The value of t will be  t ≥ 6 or t ∈ [ 6 , α ) .

Given,

-2t + 5 ≥ -7

Now,

Solving the inequality,

-2t + 5 ≥ -7

Take 5 from LHS of inequality to RHS of inequality .

-2t ≥ -12

The negative signs from both sides are eliminated .

2t ≥ 12

t≥ 12/2

t≥ 6 .

Thus the value of inequality will be t ≥ 6 .

Thus option C will be correct .

Learn more about inequality,

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i will give brainilist to the first person who wants to do my delta math

Answers

what's ur username lol

Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

if you are sitting in a room with ten people and 39% of them leave how many people would be left?

Answers

Answer:

69

Step-by-step explanation:

yes

Answer:

Step-by-step explanation

4-6 people left in the room

✨✨Hope it helps✨✨

Brainliest?.

As I said, I’m bad at math but I need a bit more help!

Answers

Could you show the problem? I am also bad at math but showing the whole problem might give you the right answer

HELP PLEASE Which of these mappings is a function?

Answers

Answer:

B; x is the one that's a function because for every input there is one output. for all the other ones a x-value has two y-values and that's not function.

Step-by-step explanation:

What is the slope of the line 6,3 and 3,2

Answers

The equation of a line passing through (x1,y1) having slope m is y−y1=m(x−x1) . Therefore, the equation of a line passing through (6,−3) having slope 23 is y−(−3)=23(x−6)or3(y+3)=2(x−6)or2x−3y=21


Find the length of BC.
A)8
B)12
C)16
D)18

Answers

Answer:

i think its A (edit: im gonna take that back because i was looking at the wrong side, logically it is 12)

Step-by-step explanation:

Answer:

B. 12

Step-by-step explanation:

logically speaking is 12

triangle vertices for A(-3,6)B(-5,4)C(-1,1)​

Answers

Answer:

we can't graph for u on brainly sorry.

7(2 - 3x) - 10
Simplify expressions

Answers

Answer:

4-21x

Step-by-step explanation:

Is y a function of x? Or not?
And explain?

Answers

Answer:

Y is NOT a function of X

Step-by-step explanation:

I guess this because it doesn't go in a pattern.

Write an equation, please help

Answers

Answer:

y = -6/5x + 2

Answer:

5\6x-2

Step-by-step explanation:

Y=(10-6x)\5

Y= 2-6\5x

Slope of line 1 = -6\5

Slope of line 2*(slope of line 1 )= -1

Slope of line 2 *-6\5=-1

Slopes of line 2 = 5\6

(X-x0)m = y-y0

(X-6)*5\6=y-3

5\6x -5 = y-3

Y= 5\6x -2

six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00

Answers

Answer:

Choice A

Step-by-step explanation:

YW

Solve the equation for x:
-3(x + 4) + 5x = 24

Answers

Answer:

[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]

The solution for x in this equation is 18.

Answer:

x = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x + 4) + 5x = 24

Step 2: Solve for x

Distribute -3:                    -3x - 12 + 5x = 24Combine like terms:        2x - 12 = 24Isolate x term:                  2x = 36Isolate x:                           x = 18

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     -3(18 + 4) + 5(18) = 24Add:                                      -3(22) + 5(18) = 24Multiply:                                -66 + 90 = 24Add:                                      24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.

please help asap!!!!


An airplane is flying at an elevation of 11,000 feet. The airport is 4 miles away from a point directly below the airplane on the ground. How far is the airplane from the airport? (Hint: 1 mile = 5280 feet)

Answers

Answer:

I think it would be 21120

Step-by-step explanation:

srry if im wrong, but hope this helped! also pls correct me if its wrong ty :3

PLEASE HELP ME !! ILL GIVE YOU BRAINLIEST

Answers

ST and VU are both 1/4 and VS and UT are 1. It is a parallelogram.
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