Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Answers

Answer 1

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope of the lne(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The slope of the line perpendicular is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:https://brainly.com/question/19417700


Related Questions

5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5

Answers

Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

=4x+5y=-10
20x - 25y = 50

Answers

The answer is x=0;y= -2

What is the value of x?
70°
35°
30

Answers

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75

B. 75°

Because All triangles add up to 180°. Therefore, 70°+35°=105°. From there, 180°-105°=75°.

there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box

Answers

Answer:

A 17, B 19, C 27

Step-by-step explanation:

A + B = 36

A + B + C = 63

63 - 36 = 27, which is C

C - A = 10

27 - A = 10

A = 17

A + B + C = 63

17 + B + 27 = 63

63 - 44 = 19

The diagram below shows a Sudoku puzzle with a difference. Some of the lines between adjacent cells have a number on them; this is the product of the numbers in the cells.
The normal rules of Sudoku also apply: the numbers 1 to 9 must appear once each in each row, once in each column, and once in each square block.
Can you solve this puzzle?​

Answers

I don’t understand the puzzle but I’ll try my best :)

Can any one explain this question worth points! plz explain if you can

Answers

Answer:

x = 31

Step-by-step explanation:

The given angles are supplementary and their sum is 180 degrees

5x - 16 + x + 10 = 180 add like terms

6x - 6 = 180 add 6 to both sides

6x = 186 divide both sides by 6

x = 31

Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are

Answers

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

7L of an acid solution was mixed with 3L of a 15% acid solution to make a 29% acid solution. Find the percent concentration of the first solution.

Answers

Answer:

hypotenuse Pythagoras property

Let 7L acid solution concentration=x%
According to question

(7x+3*15)/10=29


7x+45=290


x=35%

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Answers

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper


Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286

Answers

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

42 is what percentage of 120?

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

To get more about the percentage visit:

https://brainly.com/question/24304697

HELP PLZZZZZZZ with #1

Answers

Answer:

Option A, 300 - 20w

Step-by-step explanation:

In a week, she withdraws $20

in w weeks, she will withdraw ; w × 20

= 20w

Balance = Initial amount - Amount withdrawn

= 300 - 20w

10(x-2)+(6x-6)
Linear equations

Answers

Answer:

that's my answer

Step-by-step explanation:

16/60

please comment if I'm wrong

The answer to you problem is 2(8x - 13)

Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!

Answers

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)

What is the iterative rule for this sequence?

A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1

Answers

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Which numbers are irrational numbers?
Select each correct answer.

Answers

the correct answer is B

Answer

Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.

Step-by-step explanation:

i need help pleasee. i will give brainlest

Answers

Answer:

lp

Step-by-step explanation:

y

Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.

Answers

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{5 - 1}{2 - -3}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{4}{5}[/tex]

Round 383.52 to the nearest tenth.
I just need this one answer from something, I'll give BRAINLY a lot to

Answers

It should be 383.5 if you’re rounding the decimal to the nearest tenth
To round to he nearest whole tenth it would be 380

Answer:

383.5

Step-by-step explanation:

We want to round 383.52 to the nearest tenth.

The tenth would be the 5.

To round we look at the number after the one we want to round ( so 2 )

If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.

2 is less than 5 so we keep 5 as it is to get 383.5

Mandy has $2.25 credit on her mobile phone. It costs $0.10 to send a text message. What is the largest amount of text messages she can possibly send to her friends with $2.25?

Answers

Answer:

22.5

Step-by-step explanation:

since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends

Write the equation of the line that has slope 1 half and passes through (4, -1).

Answers

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!

PLZ HELPPP

Use the distributive property to fill in the blanks below. ​

Answers

Answer:

4 - 3

Step-by-step explanation:

fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D

can someone help me. these are due tonight.

Answers

Answer:

x = 4

Step-by-step explanation:

3x-4 = 8

3x = 12

x = 4

good luck

Answer:

x = 4

Step-by-step explanation:

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?

Answers

Answer: 22 blue balloons

Step-by-step explanation:

IF 3/10 balloons are red out of 60, we have

[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total

1/3 of the balloons are yellow, 60/3=20 yellow balloons

Blue balloons= 60-18 (red)-20(yellow)=22

PLZZ HELP FAST

Use the distributive property to fill in the blanks​

Answers

Answer:

first blank : 6

second blank : 5

Step-by-step explanation:

The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....

Answers

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.

Answers

Answer:

KOF

Step-by-step explanation:

Khan Academy

Trust me

Answer:

KOF

Step-by-step explanation:

Khan academy

Determine the equation of the line.

Answers

Answer:

Y = 5x - 10

Step-by-step:

Leave a brainliest if this helped!

Can you prove that 4+2=5+1 is true without solving both sides of equation?

Answers

Answer:

Here you go...

Step-by-step explanation:

You have 4, and you have 5.

You have 4+2 and you have 5+1

So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.

Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.

FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).

So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)

Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°

Answers

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

Ready lesson 8 independent practice

Answers

Answer:

wdym???

Step-by-step explanation:

Other Questions
How are visible light, the electromagnetic spectrum, and photoreceptors in the eye related? (1 point) A. Photoreceptors in the eye detect visible light, which contains a range known as the electromagnetic spectrum. B.Photoreceptors in the eye detect the electromagnetic spectrum, which is part of the wider visible light range. C. Photoreceptors in the eye detect the electromagnetic spectrum, which contains a range known as visible light. D.Photoreceptors in the eye detect visible light, which is part of the wider electromagnetic spectrum. what type of light (energy) does each light start out as? question that EQUALS 67.5 Pls help me with this assignment :I a.two more than seven times xb. the product of ten and f,increased by oneC. r divided by eleven How much work can a 22 kW (22000W) car engine do in 60 s if it is 100% efficient? Do you agree with Crevecoeur's motto for emigrants? Explain why or why not. MY abode is not silent, nor I myself loud voiced; the Lord laid laws upon us, shaped our course together; I am swifter than he, stronger at times, he more laborious; sometimes I rest; he must needs run on. I ever dwell in him while I live: if we are parted death is my destiny. Explain how this riddle works. Describe the "speaker" of the riddle and tell how each statement about the speaker of its abode fits what you think the speaker is. Which is the solution to the system 4x + y = 0 x - y = 5 Explain/Show Work which was the first cooperative of nepal if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot? I Will Draw Something For The First Person Who Respond BRAINLEST What is the allusion in this passage? What two ideas are connected in this allusion? Passage: I'm hoping the budding Picasso in my drawing class goes after that art school scholarship. I know in my gut that he would succeed, and the world needs more artists like him. The only thing holding him back is his own self-doubt. You know what they say: Aim for the moon, and even if you miss, you'll land among the stars. Tell me What is an element? consuming ____________will help supply the phytochemicals that enhance the repair process when dna has been damaged. 25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.A) 15%B) 85%C)60%D)35 Which point would be a solution to the system of linear inequalities shown below?Y>2/3x-4 Y What is the half-life of the imaginary element Lokium? Show your work 4. Why did the British third attempt to take Breed's Hill ultimately succeed? A. Too many Patriots had been killed or wounded B. The Patriots ran out of ammunition C. The British had taken the Charlestown Peninsula D. The passage doesn't say What can you do to help the oceans become sanctuaries rather than a vast graveyard? Explain 2 of three ideas noted in the text. pls answer quick, ill mark the first correct answer as brainliest!!