write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Answers

Answer 1

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3


Related Questions

A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices

Answers

Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage

Answers

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

Anissa owns a brick house in the country worth $85,000, and the contents of the house are valued at $15,000. Use the table below to calculate her annual property insurance premium.

Annual Premium per $100 of coverage Brick Steel Mixed Wood Building Contents Building Contents Building Contents Building Contents rating City 0.39 0.43 0.5 0.54 0.55 0.65 0.66 0.76 Suburb 10.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85 Rural 0.69 0.71 0.8 0.89 0.91 1 1.02

O A. $918.65
O B. $950.00
O C. $613.50
O D. $150.00​

Answers

Answer:

Step-by-step explanation:

$6903 so thos is the answer

Answer:

answer is $613.50

Step-by-step explanation:


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

Need help asapppppppp

Answers

Answer:

It is not a function.

Step-by-step explanation:

Input (x)

Output (y)

An input can never have two outputs

2 = 20

2 = 40

makes it not a function

10,10,10,20 i hope that helps but if not its cause i dont really understand the question

Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?

Answers

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

How can a trend line be used to make a predictions?

Answers

Answer:

When a linear association is shown by a scatter plot, we can use a line to model the relationship between the variables. A trend line is a straight line that comes closest to the points on a scatter plot. We can use the trend line to make predictions.

Step-by-step explanation:

Answer:

A trend line can be used to make predictions because it shows the direction of interest. If the trend was how many people used yt in 2020, the trend line would be positive and it shows that more people are interested in yt. This would make the people who work at yt want to make it better, and people at other companies want to try and do something like yt, or something better.

Line ET is tangent to circle A at T, and the measure of arc TG is 46°.
What is the measure of ∠GET?

A: 44°
B: 136°
C: 67°
D: 90°

Answers

Answer:

[tex] m\angle GET = 67\degree [/tex]

Step-by-step explanation:

[tex] m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) [/tex]

[tex] m\angle GET = 67\degree [/tex]

Which graph represents the system of inequalities?


3x+5y<10

x−y≤1

Answers

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

Answer:

It's the one on the bottom left

Step-by-step explanation:

Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10

Answers

They will have to drive 11.9 more miles

Help me do 1/6+1/4 make sure the demonator is the same

Answers

Answer: [tex]\boxed{\boxed{\sf\frac{5}{12}=0.416666667}}[/tex]Solution Steps:

______________________________

1.) Find the LCF of 6 and 4: [tex]6,4=12[/tex]

 - We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.

2.) Convert the fractions to have the same denominator: [tex]\frac{1}{6}=\frac{2}{12}[/tex] [tex]\frac{1}{4}=\frac{3}{12}[/tex]

 - [tex]\frac{1}{6}[/tex] changes to [tex]\frac{2}{12}[/tex] by multiplying the numerator and denominator by 2. And  [tex]\frac{1}{4}[/tex] changes to [tex]\frac{3}{12}[/tex] because you multiply the numerator and denominator by 3.

3.) Add the numerators: [tex]2+3=5[/tex]

 - Since both fractions have the same denominator all you have to do is add the numerators together.

______________________________

When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.

Answers

Answer:

[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]

Step-by-step explanation:

The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:

[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.

Solving, we get:

[tex]9x=180,\\x=20[/tex]

Therefore, plugging our constant back in, our angles are:

[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].

Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).

Answer:

100, 40, 40

Step-by-step explanation:

First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.

If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two

Answers

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

Find the area of a circle with a diameter 6

Answers

A≈28.27 hope this helps!

A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.​

Answers

Answer:

Step-by-step explanation:

write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)

Answers

Answer:

y = (1/3)x - 4

Step-by-step explanation:

Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.

Start with the general slope-intercept form y = mx + b.

Insert the coordinates 6 and -2 into y = mx + b:  -2 = (1/3)(6) + b, or

-2 = 2 + b.  Thus, b = -4, and the desired equation is

y = (1/3)x - 4

the product of 25/-15 x 9 is

Answers

Step-by-step explanation:

25/-15×9

The answer is -15

-5 + 3d + 6 - 4d. in simplest form

Answers

Answer:

1-1d

Step-by-step explanation:

i think that is the answer

Answer:

-1-d

Step-by-step explanation:

Find an ordered pair (x, y) that is a solution to the equation.
5x - y = 8

Answers

(2,2) could be a solution. :)

(0,-8)  could be another.

PLS HELP AND EXPLAIN THE ANSWER

Answers

Answer:

the answer is d!! I hope it helped please lmk if not

The answer above is wrong, it is A

Simplify the expression so there’s only one positive power for the base, -5.

Answers

Given:

The expression is

[tex](-5)^7\div  (-5)^2[/tex]

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

[tex](-5)^7\div  (-5)^2[/tex]

[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]

Using the properties of exponents, the given expression can be written as

[tex]=(-5)^{7-2}[/tex]                  [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]=(-5)^{5}[/tex]

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4

Answers

Answer:

Slope -1 , y intersept is (0,4)

Answer:

Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1

A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20

Answers

Answer:

i think option b is correct

Step-by-step explanation:

A cylinder has a total surface of 3,41946cm2 and a diametre of 0,66cm. What is its height? Step by step

Answers

Answer:

Total surface Area(A) = 2pi*r(r+h)

Diameter D= 2r

r=0.66/2=0.33cm

A=3.41946

3.41946=2*3.143*0.33(0.33+h)

3.41946=2.0744(0.33+h)

3.41946/2.0744=(0.33+h)

1.6484=0.33+h

1.6484-0.33=h

h=1.3184cm

Step-by-step explanation: Total surface area is different from area around the cylinder.

Walter took a total of 16 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total?

Answers

Answer:

32 quizzes

Step-by-step explanation:

It is given that,

Walter took a total of 16 quizzes over the course of 2 weeks.

16 quizzes = 2 weeks

⇒ 1 weeks = 8 quizzes

We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.

⇒ 4 weeks = 4 × 8 quizzes

= 32 quizzes

So, 32 quizzes will Walter have taken in total.

Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid

Answers

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

-7y-8=6y+18 i need help with this urgent!

Answers

Answer:

Y= -2

Step-by-step explanation:

please help me it's in like 10 minutes..................

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

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