What is an equation of the line that passes through the point (2,-3) and is perpendicular to the line 2x+5y=10?

Answers

Answer 1
Answer:  5x-2y = 16

===============================================

Explanation:

Consider the standard form Ax+By = C

Anything perpendicular to this is Bx-Ay = D. We swapped the positions of A and B, and changed the plus sign to a minus. This will ensure we get a negative reciprocal slope needed for the perpendicular line. The slope of the first line is -B/A, while the slope of the second line is A/B. The two slopes multiply to -1 assuming neither A nor B are zero.

Also, I've introduced the constant D. There may be cases when C = D, but that isn't always the case.

The given equation is 2x+5y = 10. This tells us A = 2, B = 5, C = 10.

The perpendicular line will be of the form 5x-2y = D, based on the template I mentioned above.

Plug the coordinates (2,-3) into 5x-2y = D to find the value of D

5x-2y = D

5(2)-2(-3) = D

10+6 = D

16 = D

D = 16

So 5x-2y = D updates to 5x-2y = 16

Therefore, 5x-2y = 16 is perpendicular to the original line, and this new line goes through (2,-3)


Related Questions

Find the circumference of a circle with radius, r = 3.5m.
Give your answer in terms of pi​

Answers

Answer:

Find the circumference of a circle with radius, r = 3.5m.

2x3.5xpi = 7pi is answer

Stephanie is a wedding planner. She has assigned 4 workers for decorating tables with flower bouquets. There are 18 tables at the wedding. If Stephanie increases the number of workers to 8, the tables will be decorated twice as quickly.
Which statement best describes the number of tables in this situation?
A. The number of tables is an independent variable.
B. The number of tables is a dependent variable.
C.The number of tables is neither an independent nor a dependent variable.
D. The number of tables is both an independent and a dependent variable.
Thank you for helping me (:​

Answers

Answer:

A

Step-by-step explanation:

Because, you can increase or decrease the number of worker for each table but number of tables will be the same

Answer:

C the person above me is incorrect.

AStep-by-step explanation:

The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle​

Answers

answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Answers

Answer:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Step-by-step explanation:

Geometric Sequences

The geometric sequence is given as:

[tex]a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}[/tex]

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

[tex]\displaystyle S_n=a_1\frac{r^n-1}{r-1}[/tex]

We are given: S3=252, a1=192, thus substuting:

[tex]\displaystyle 252=192\frac{r^3-1}{r-1}[/tex]

Dividing by 12:

[tex]\displaystyle 21=16\frac{r^3-1}{r-1}[/tex]

Recall that:

[tex]r^3-1=(r-1)(r^2+r+1)[/tex]

Substituting:

[tex]\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}[/tex]

Simplifying:

[tex]21=16(r^2+r+1)=16r^2+16r+16[/tex]

Rearranging:

[tex]16r^2+16r+16-21=0[/tex]

16r^2+16r-5=0

Rewriting:

[tex]16r^2-4r+20r-5=0[/tex]

Factoring:

[tex]4r(4r-1)+5(4r-1)=0[/tex]

[tex](4r-1)(4r+5)=0[/tex]

Solving:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Both solutions are valid

If one mile equals 5,280 feet, how many feet are in 7 miles?
754 feet
1,326 feet
3,696 feet
36,960 feet

Answers

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

What is

2x + (-2x) + 4 + (-3) in simplified version?

Answers

You could write (2x - 2x) + (4 - 3)

Or you could simply write 1? Let me know if this helps

Simplify 3(5a + b) + 4(a + 2b).

A.) 9a + 5b

B.) 19a + 3b

C.) 19a+11b

D.) 9a + 9b

Answers

Answer:

C. 19a + 11b

Step-by-step explanation:

Distribute into the parentheses.

3(5a + b) + 4(a + 2b)

= 15a + 3b + 4a + 8b

Add like terms.

15a + 3b + 4a + 8b

19a + 3b + 8b

= 19a + 11b

Hope that helps.

Hey there!

“Simplify 3(5a + b) + 4(a + 2b)”

FIRST you have to DISTRIBUTE

3(5a + b) + 4(a + 2b)

3(5a) + 3(b) + 4(a) + 4(2b)

3(5a) = 15a

3(b) = 3b

4(a) = 4a

4(2b) = 8b

“15a + 3b + 4a + 8b”

SECOND: COMBINE your LIKE TERMS

(3b + 8b) + (15a + 4a)

(3b + 8b) = 11b ⬅️ BACK number

(15a + 4a) = 19a ⬅️ FRONT number

ALL OF YOUR TERMS/NUMBERS ARE POSITIVE SO WE DON’T HAVE TO FIX ANYTHING

Answer: C. 19a + 11b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Dylan scored a total of 48 points in the first four games of basketball season which equation can be used to find g e d average number of points he scored per game

Answers

Answer:

[tex]\dfrac{48}{4}=12[/tex]

Step-by-step explanation:

Given that:

Dylan plays basketball.

In the season, he scored 48 points in total in the first four games of the season.

To find:

The equation to represent the average number of points scored per game.

Solution:

Average is the term used to find one number which can be used to represent a list.

It is usually the mid value.

Average can be found by using the following formula:

[tex]\text{Average =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]

Here, Sum of all the observations is the total score which is given as 48.

Number of observation is nothing but the number of games which is given as 4.

Therefore, the equation to find the average can be written as:

[tex]Average = \dfrac{48}{4}\\ \Rightarrow \bold{Average = 12}[/tex]

1.what is $0.66 as a fraction 2.what is $1.08 as a fraction 3.what is $1.21 as fraction

4.what is $0.52 as a fraction 5.what is $1.71 as fraction 6.what is $0.97 as fraction

Answers

1: 66/100
2: 1 8/100
3: 1 21/100
4: 52/100
5: 1 71/100
6: 97/100

1.33/50

2.1 2/25

3.1 21/100

4.13/25

5.1 71/100

6.97/100

Please help me happy new years

Answers

1) The quotient is 6.

2) The quotient is 9/10.

Hope it helps!

Answer: 2/4

Step-by-step explanation: You would have to subtract it

Which set of transformations would prove ΔGFE ~ ΔGHI?

Answers

Answer:

The set of transformation would prove ΔEFG ~ ΔGHI is "Reflect ΔGHI

over x = −2, and dilate ΔG′H′I′ by a scale factor of 2 from point G" ⇒

last answer

Step-by-step explanation:

Answer:

the set of transformation would prove ΔEFG ~ ΔGHI is "Reflect ΔGHI

over x = −2, and dilate ΔG′H′I′ by a scale factor of 2 from point G" ⇒

last answer

Step-by-step explanation:

PLEASE HELP ILL GIVE U 50 points plz answer fast

What should the following equation be multiplied by in order to eliminate the fraction x/2 + x/3 = 25/3

A 6
B 9
C 25
D 5

Answers

Answer:

A

Step-by-step explanation:

Given the graph below, what is the y-intercept(s)? Give your answer(s) as an ordered pair.

Answers

Answer:

(0, 4)

General Formulas and Concepts:

Algebra I

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

Saundra has 8 folders on her computer. Each folder has 50 files. How many files are on Saundra's computer?

Answers

Answer:

400

Step-by-step explanation:

8 x 50 = 400

Answer:

400 files

Step-by-step explanation:

If each folder has 50 files, you would multiply the number of folders by the number of files. So it would be 50 x 8 which equals 400 files.

12x^9y^4/6x^3y^2

A. 2x^3y^2
B. 2/x^6y^2
C. 2/x^3y^2
D. 2x^6y^2

Answers

Answer:b

Step-by-step explanation:

It’s b I think you have to multiply

I need help plz, i dont understand :(

Answers

Answer:

Step-by-step explanation:

follow a few exponent rules and you can figure this out

when expoenents are to the power of something you can mutilply the expoents.. and when there is a minus sign in the exponent.. it's like the reciprocal   [tex]x^{-2}[/tex]  is  1/[tex]x^{2}[/tex]    soooo...

mutilply the  -2/3 by each of the exponents in the question the 8 is tricky b/c it has an invisible 1 on it :o

= [tex]8^{-2/3}[/tex][tex]w^{-14/3}[/tex][tex]x^{10/3}[/tex][tex]y^{-6/3}[/tex][tex]z^{18/3}[/tex]

= 1/[tex]\sqrt[3]{8*8}[/tex] * 1/[tex]w^{14/3}[/tex] * [tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

= 1/[tex]\sqrt[3]{64}[/tex]* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

= 1/4* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

=answer A

help help help please its simpleeee

Answers

Answer:

y=1.6x+4

Step-by-step explanation:

what is –9 – (–13) and how do you solve

Answers

The answer is 4. you distribute the negative to make a positive sign and then add

An item on sale cost 95% of the original price. The original price was $51.

Answers

The answer would be $48.45

Answer:

you pay $48.45

you save $2.55

Step-by-step explanation:

Trust

David reads 5/8 chapters in 4/5 hours.
What is the unit rate in chapters per hour?

Answers

the answer is : 25/32

(9.74c - 250.50) + (-5.48p + 185.70)

Answers

Step-by-step explanation:

explain to me what you are asking

Answer:

9.74c-5.48p-64.8

Step-by-step explanation:

(9.74c-250.50)+(-5.48p+185.70)

9.74c-250.50-5.48p+185.70

Combine like terms

-250.50+185.70= -64.8

-64.8+9.74c-5.48p

Reorder them (variables first <alphabetically> then, a number)

9.74c-5.48p-64.8

A television that costs $500 is marked up 250%. What
is the new price of the television?

Answers

Step-by-step explanation:

Cost - 500

Marked Up - 250

Margin - 71.4286

MxCxMA= $1,750

This may seem confusing, but its $1,750 for the new price, and the equation is:

M= Marked

C= Cost

MA= Margin

The new price of the television is $1750.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A television that costs $500 is marked up 250%.

So, the new price is

= 500 + 250% of 500

= 500 + 250/100 x 500

= 500 + 1250

= $1750

Hence, the new price of the television is $1750.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ6

main college currently chargea &42000 annually for tuition. to the nearest cent how much will tuition be in 7 years if they raise their tuition by 4% each year?​

Answers

Answer:

hii

Step-by-step explanation:

solve the inequality: 8(7-x)<64

Answers

Answer: x>-1

solving For X

Answer:

x > -1

Step-by-step explanation:

8(7-x)<64 (solve for x)

56 - 8x < 64 (distribute!)

-8x < 8 (subtracted 56 from both sides)

x > -1 (divide by -8, flip sign anytime you divide by a negative!)

hope this helps!

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Answers

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 98 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the function

c(x) = 18x -10

comparing with the slope-intercept form of the line equation

rate of change = slope = m = 18c(x) or y represents the cost

According to the function equation,

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $98

In order to determine the value of x, set c(x) = 98

i.e.

98 = 18x -10

switch sides

18x - 10 = 98

add 10 to both sides

18x - 10 + 10 = 98 + 10

18x = 108

Divide 18 to both sides

18x/18 = 108/18

x = 6

Therefore, if you can buy x = 6 if you pay 98 dollars.

suppose line AT bisects ∠CAR. if ∠CAT = 5x and ∠CAR = 9x +7, what is ∠TAR

Answers

Answer:

∠TAR =  35°

Step-by-step explanation:

∠TAR = ∠CAR - ∠CAT = (9x + 7) - 5x = 4x + 7

AT bisect ∠CAR       ∠TAR = ∠CAT

4x + 7 = 5x

x = 7

∠TAR = 4 x 7 + 7 = 35

A train is accelerating at a rate of 2.0 km/hr squared. If it’s initial velocity is 20 km/hr, what is its velocity after 30 seconds?

Answers

Answer: 30

Step-by-step explanation:

Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?
Appreciate it :)

Answers

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

i need help with this ?

Answers

Answer:

Range: [-7, 2]

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, the line's y-values span from -7 to 2. Since both are closed dot, they are inclusive in the range:

[-7, 2] or -7 ≤ y ≤ 2

Help with congruent angles - please----
State if the 2 angles are congruent.

If they are, state how you know- for example SSS or SAS.

Answers

Answer:

SAS TRIANGLES

Step-by-step explanation:

the triangles have two equal sides

and one angle

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