Perpendicular to 3y=x-4 and passes through the point (-2,1)

Answers

Answer 1

Answer:

The equation is [tex]y=-3x-5[/tex]

Step-by-step explanation:

We are given;

The equation of a line 3y = x-4 A point (-2,1)

Assuming the question requires we determine the equation of a line perpendicular to the given line and passing through the point given.

Step 1: Determine the slope of the given line

To determine the slope from an equation requires we write the equation in the form, y = mx + c, where m will be the gradient.

In this case;

[tex]3y = x - 4\\ y = \frac{1}{3}x-\frac{4}{3}[/tex]

Therefore, the slope is [tex]\frac{1}{3}[/tex]

Step 3: Determine the slope of the line in question

We know that the product of the slope of two perpendicular line is -1

That is;

m₁ × m₂=-1

Thus;

1/3 × m₂ -1

Hence; m₂ = -3

Step 3: Determine the equation of the line in question;

We have its slope, m₂ = -3

A point (-2, 1)

Taking another point (x,y)

Thus;

[tex]\frac{y-1}{x--2}=-3\\y-1 =-3(x+2)\\y-1 = -3x-6\\y=-3x-5[/tex]

Therefore, the required equation is [tex]y=-3x-5[/tex]

Answer 2

The equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Equation of a line

Given the equation 3y = x - 4

Find the slope of the line

y = 1/3 x - 4/3

The slope of the line is 1/3 and the slope of the line perpendicular is -3

Substitute the point (-2, 1) and the slope into equation

y - y1 = m(x-x1)

y - 1 = -3(x+2)
y - 1 = -3x - 6
y = -3x - 5

Hence the equation of the line perpendicular to the line and passing through the point is y = -3x - 5

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Related Questions

24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?

Answers

25 percent of the class did not pass

Answer: 25 percent of the class did not pass

Step-by-step explanation:

What is 85/507 simplified?

Answers

Answer:

You cant Simplify it an further

Answer:

0.1676

Step-by-step explanation:

Definition: This is the term in a polynomial without a variable.

Example: -6 in the expression 2x + 3y - 6 .

Answers

A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.

Answer:

Constant Term

Step-by-step explanation:

Seven times a number plus three times another number equals negative one. The sum of the two numbers is negative three. What are the numbers’?

Answers

Answer:

ur numbers are 2 and -5

Step-by-step explanation:

7x + 3y = -1

x + y = -3......x = -3 - y

7(-3 - y) + 3y = -1

-21 - 7y + 3y = -1

-7y + 3y = - 1 + 21

-4y = 20

y = -20/4

y = -5 <====

x = -3 - y

x = -3 - (-5)

x = -3 + 5

x = 2 <====

Answer: The numbers are 2 and -5

Step-by-step explanation:

7x+3y=-1  ...(equation 1)

x+y=-3    ...(equation 2)

x+y=-3

Broken down, we have x=-3-y

Substitute x=-3-y into equation 1

Then we have 7(-3-y) +3y=-1

Which is -21-7y+3y=-1

which is -21-4y=-1

-4y=-1+21=20

y=-20/4=-5

y=-5

Substitute y=-5 into equation 1  

x+y=-3

x-5=-3

x=-3+5=2

x=2

5×8×4
_____ =
3
What is the answer?

Answers

157.


5*8*4=160 ( since we are trying to find missing value, subtract 160 from 3)

160-3=157

Check your answer by plugging 5*8*4-160=? Into the calculator. If you get 3, 160 is right

Answer:

160

Step-by-step explanation:

Can someone answer this question please answer it correctly and show work please

Answers

Answer:

First Problem:  $50.15

Second Problem:  $20,468

Step-by-step explanation:

First Problem:  If the original price is $41.00 and the discount is $6.15

41.00 - 6.15 = $34.85 is the discounted price

34.85 / 41.00 = 0.85 -> this shows the amount that you pay from the original price

So if the other product costs $59.00 you just do 59.00 * 0.85 = $50.15

This shows that %85 of the original cost is what you pay.

Second Problem:  So, the first amount sold is 160 tickets and the price for each ticket is $59.50.

160 * $59.50 = $9,520 for the afternoon batch

If they sold %15 more in the evening that means that they sold 160 tickets plus another %15 of the 160.

160 * 1.15 = 184 tickets sold in the evening

184 * $59.50 = $10,948 for the evening batch

So they sold a total of $9,520 + $10,948 = $20,468

Answer:

44)  $50.15

45) $20,468

Step-by-step explanation:

44)  $ off sweater = 6.15

41.00 - 6.15 = 34.85

6.15 ÷ 41.00 = 0.15 = 15% discount

$59.00 - 15%

$50.15

45)

Afternoon = 160 tickets

Evening = 15% more = 160 + 15% = 184 tickets

160 + 184 = 344 tickets total

344 * $59.50 = $20,468

Hope this helps :)

celine mixes raisins and peanuts to make a snack. she uses 0.75 cup raisins for every 0.5 cup peanuts. write a proportion and use it to find the number of cups of raisins she uses if she uses 4.25 cups of peanuts

Answers

Answer:

6.375 cups of raisins

Step-by-step explanation:

The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.

So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:

(4.25 ÷ 2) × 3 = 6.375

Answer:

Step-by-step explanation: they both equal 2x + 4

2x + 4=2(x + 4)

2x + 4= (2 X x) + (2 X 4)

2x + 4= 2x + 4

What is 1/3 divided by 5/6?
Please help me don’t get it

Answers

Answer:

=0.4

Step-by-step explanation:

1/3= 0.33

5/6=0.83

Then: 0.33/0.83 = 0.4

You can also do 6/15 which results from (1*6)=6 and (3*5)=15

Okay so this is the easiest way imo to do it.

Flip one of your fractions and then multiply.

1/3 * 6/5

1*6= 6
3*5= 15

6/15= 2/5

5x+17+9x+23=180 solve for x

Answers

Answer:

x=10

Step-by-step explanation:

First combine like terms:

14x + 40 = 180

Second subtract 40 from both sides:

14x = 140

Third divide both sides by 14:

x = 10

X=10, this is because to Isolate eggs you have to add 5X +9 eggs then add 23 x 17 in watching it with that subtract from each side of the equation then you divide you’re answer

Factor the expression below. x^2+9x+8

Answers

Answer:

(x + 1)(x + 8)

Step-by-step explanation:

Given

x² + 9x + 8

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 9)

The factors are + 1 and + 8, since

1 × 8 = 8 and 1 + 8 = 9, thus

x² + 9x + 8 = (x + 1)(x + 8)

What is a division expression for Two bottles of juice are divided equally among six people.

Answers

2 bottles divided by 6 people = 2/6 which equals 1/3.

Is 2(3a-2)+4a equivalent to 10a-2

Answers

No it’s equal to 10a-4
Final answer:

After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.

Explanation:

To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.

First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.

Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.

Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.

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What is the answer? If 45 x 36 +62=72%

Answers

Answer: 1682

(45 x 36) + 62
1620 + 62 = 1682


Given: marked, PQ=8
PR=2x, TU=2z+3, ST=5z
Find: PR and ST

Answers

Answer:

PR=8; ST=5

Step-by-step explanation:

Find PR:

PQ=PR

8=2x

x=4

PR=2x=2(4)=8

Find ST:

TU=ST

2z+3=5z

3=3z

z=1

ST=5z=5(1)=5

Complete this statement 0.743 mL = ?L

A 743
B 74.3
C 0.000743
D 0.0743

Answers

Answer:

C. 0.000743 L

Step-by-step explanation:

[tex]1\ L=1,000\ mL\Rightarrow1\ mL=\dfrac{1}{1,000}\ L=0.001\ L\\\\0.743\ mL=0.743\cdot0.001\ L=0.000743\ L[/tex]

a and b questions answers

Answers

Answer:

1.a. it takes him 0.5 seconds to reach his max height.

.b. The highest point that he reached is 484 feet.

     -16×(0,5)^2+16×(0,5)+480=484

The difference between two numbers is 52 .Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

The larger number is 66 and the smaller number is 14.

Step-by-step explanation:

Let,

The larger number = x

The smaller number = y

According to given statement;

x-y=52     Eqn 1

5y = x+4   Eqn 2

From Eqn 2

x = 5y-4    Eqn 3

Putting value of x from Eqn 3 in Eqn 1

[tex]5y-4-y=52\\4y=52+4\\4y=56[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]

Putting y=14 in Eqn 3

[tex]x=5(14)-4\\x=70-4\\x=66[/tex]

The larger number is 66 and the smaller number is 14.

Keywords: linear equation, substitution method

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Write a linear equation that passes through the point (2,-9) and has a slope of -5

Answers

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.

To find the linear equation, we use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Here,

m is the slope and (x₁, y₁) is a point on the line.

Given:

Slope (m): -5Point (x₁, y₁): (2, -9)

Substitute the values into the point-slope form equation:

y - (-9) = -5(x - 2)

Simplify the equation:

y + 9 = -5(x - 2)y + 9 = -5x + 10y = -5x + 10 - 9y = -5x + 1

So, the linear equation in slope-intercept form is y = -5x + 1.

Brittany graphs the plot (6,3) on a coordinate grid. Which describes where she should plot the point if she starts at the origin

Answers

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.

Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.

What is the plot?

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

How to solve?

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.

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Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?

Answers

Answer:

6

Step-by-step explanation:

This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.

1. Determine the prime factors of each number and mark those that are common

The prime factors of 42 are 2        × 3             × 7  = 42

The prime factors of 36 are 2 × 2  × 3 × 3 × 3       = 36

The prime factors of 54 are 2        × 3 × 3 × 3        = 54

2. Multiply the common factors

The common prime factors of 42, 36. and 54 are 2 and 3.

The greatest common factor is 2 × 3 = 6.

Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.  

Answer: The answer is 6

Step-by-step explanation:

How many yard will the snail have moved in half an hour

Answers

Answer:25yards

Step-by-step explanation:

Answer:

2.075

Step-by-step explanation:

ok so if a nail can only go 0.025 it 1 day is 200m cut into 24 if 8.3 cut in half gives u the answer

Find the greatest common factor of 8n" and 12m?

Answers

Answer:

4

Step-by-step explanation:

Factor of 8n = 2x2x2n

Factor of 12m = 2x2x3m

GCF = 2x2 = 4

What is 8/27 to the simplest form

Answers

Answer:

8/27 is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

What is(-1,-4), (1,4)

Answers

Answer: If it is on a coordinate plane, (-1,-4) would be in quadrant 3. (1,4) would be in quadrant one.

Step-by-step explanation:

quadrant 1 is both positive numbers (both the x and the y axis).

quadrant 2 is when the x axis is negative and the y axis is positive.

quadrant 3 is when both the x and y axis is negative

quadrant 4 is when the x axis is positive and the y axis is negative.

how would I solve y-8+3(y+4)

Answers

Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

HELPPP PLEASEE
QUICKK

Answers

Answer:

i forgot

Step-by-step explanation:


1) The figure at the top is a parallelogram; the area is A = bh; where b is the base and h is the height; use properties of special right triangles to find h, and the area of the parallelogram

a) Read the problem once and state what is the problem about?

Answers

Answer:

[tex]10 \sqrt{3} {cm}^{2} [/tex]

Step-by-step explanation:

The area of a parallelogram is A=bh.

From the diagram, the base is b=5m

We now use the properties of 30°-60°-90° right angle to find h.

The sides of this triangle is given by x,½x,½x√3

Where x is 4

Therefore we have 4,2, 2√3

So we have h=2√3m

The area now is

[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]

a)The problem is about finding area of a plane figure

jada's bedroom is rectangular. it has a perimeter of 52 feet. the length of her room is 14 feet. what is the width

Answers

Answer:

12 feet

Step-by-step explanation:

Perimeter=all 4 sides added up

So perimeter=14+14+w+w, if w is width

52=28+2w

24=2w

w=12

What is the measure of ∠x?

Answers

Answer:

139

Step-by-step explanation:

Substract 41 from 180 assuming line LN is a straight line. the angles are supplementary

which of the following are perfect squares? check all that apply
21
18
1
81
100
72

Answers

Answer:

1,81, AND 100

Step-by-step explanation:

A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER

1*1=1

9*9=81

10*10=100

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