What’s the equation of a line that is perpendicular to -x +2y =4 and passes through the point (-2,1)

Answers

Answer 1

Answer:

y = -2x - 3

Step-by-step explanation:

Given:

Equation of -x +2y =4

Point of (-2,1)

-x + 2y = 4

y = x/2 + 2 or y = 1/2x + 2

Which means the equation's slope is m = 1/2.

The slope of the perpendicular line is negative inverse which is m = -2.

Now we have an equation of y = -2x + a.

Use (-2, 1) to find a:

1 = (-2)(-2) + a

a = -3

y = - 2x - 3


Related Questions

If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?

Answers

Answer: 3,583.32

Step-by-step explanation:

Use money chimp calculator

Identify the slope of the line graphed below.
m =

Answers

the slope is 0 bc its horizontal

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips. ​

Required:
a. What is the probability that a randomly selected bag contains between and chocolate​ chips, inclusive? ​
b. What is the probability that a randomly selected bag contains fewer than chocolate​ chips? ​
c. What proportion of bags contains more than chocolate​ chips? ​
d. What is the percentile rank of a bag that contains chocolate​ chips?

Answers

Answer:

Explained below.

Step-by-step explanation:

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips. ​

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips as follows:

[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip as follows:

[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate​ chips as follows:

[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]

Thus, the proportion of bags that contains more than 1200 chocolate​ chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate​ chips as follows:

[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]

Thus, the percentile rank of a bag that contains 1125 chocolate​ chips is 12.3rd.

What is the value of the expression?
- 16+ 12
0-28
-4
4
O 28

Answers

-4 , when u add a negative to a positive u move up not down.

A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers

Answers

Answer:

66.666%

Step-by-step explanation:

*that is the actual answer*

*i'm not summoning Satan*

Answer:\ Yes, they are color markers.

Step-by-step explanation:

hope this helps!!

Could someone help a girl out?

Answers

Answer:

x = 19

Step-by-step explanation:

Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.

Now, if we plug in our known values, we can solve for the missing base.

[tex]\frac{5 + x}{2} * 4 = 48[/tex]

[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]

Answer:

Yes I would have to agree with Goliath, x = 19.

Step-by-step explanation:

You can mark Goliath Brainlest if you want they did the answer first.

Name 3 the rays in the figure

Answers

Answer:

Where is the figure?

Step-by-step explanation:

A ray looks like this though:

When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?

Answers

Answer:

4500

Step-by-step explanation:

As long as your number isn't less than 500, it will always round up.

The required least weight of the elephant is 4500 pounds.

Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.


What is simplification?

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.


Thus, the required least weight of the elephant is 4500 pounds.

Learn more about simplification here: https://brainly.com/question/12501526

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I need help with this I will give you 20 points

Answers

answer : 3/10 :) hope this helps

Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?

Answers

Answer:

$5.50

Step-by-step explanation:

One icecream cone costs $2.75, so two would cost $5.50.

Answer:

$5.5

Step-by-step explanation:

--Use division

16.50 ÷ 6 = 2.75

--Then multiplication

2.75 x 2 = 5.5

It costs $5.5 to buy 2 ice cream cones.

Consider these three squares with known area 25, 144,169

Answers

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

Side ×side=169

Side^2=169

Side=√169

Side =13

Answer is 13.

12. pesos de 100 es: %​

Answers

Answer:

la respuesta es 80 pesos espero que te ayude

2.1.2 Linear Tables and Graphs (Algebra 1)
The question is on the image below

Answers

Answer:

Step-by-step explanation:

1). Let the equation of a line is,

   y = mx + b

   Here, m = slope of the line

   b = y-intercept

   From the graph attached,

   Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]

   y-intercept = -2

   Equation → y = [tex]\frac{1}{4}x-2[/tex]

2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]

   y-intercept 'b' = -3

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

3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]

                                 = [tex]-\frac{20}{3}[/tex]

    y-intercept = 5

    Equation → y = [tex]-\frac{20}{3}+5[/tex]

4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]

    y-intercept = 4

    Equation → y = [tex]-\frac{1}{2}x+4[/tex]

5). Since, line is passing through origin (0, 0)

    y-intercept = 0

    Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]

    Equation → y = x

6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]

    y-intercept = -4

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

This is the graph of f(x). What is the value of f(2)?
A. 6
B. 5
C. 2
D. 9

Answers

Answer:

D. 9

General Formulas and Concepts:

Alg I

Reading a Cartesian PlaneIdentifying Coordinates

Step-by-step explanation:

The meaning of f(2) is x = 2. The question is asking us to find the y-value when x = 2.

According to the graph, when x = 2, y is somewhere between 8 and 10. The graph looks like it intersects right in the middle of those 2, so the y-value when x = 2 would be 9.

Therefore, f(2) = 9.

Answer:

Step-by-step explanation:

9 is the correct answer

If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)

Answers

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Enter the number that makes the equation true

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Find the measure of each angle indicated.
45°
?

Answers

Answer:

? = 45º

Step-by-step explanation:

top right angle = 180-45 = 135º

high middle left angle = 135º

high middle right angle = 45º

low middle left angle = 45º

low middle right angle = 135º

bottom left angle = 135º

bottom right angle = 45º


Name the relationship: complementary, linear pair, vertical, alternate interior, corresponding, or
alternate exterior.

Answers

Answer:

Linear pair

Step-by-step explanation:

Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.

Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.

Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.

9. A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of
the following tables best represents the situation?
A.
Х
1
2
3
4
B.
Х
1
2
3
4
Y
24
48
72
96
Y
21
18
15
12
C.
Х
0
2
4
6
D.
Х
1
2
3
4
Y
24
21
18
15
Y
24
21
18
15

Answers

Answer:

Umm it has no photo so we can't see the table

Step-by-step explanation:

Umm it has no photo so we can't see the table

Answer: I had the same problem and someone else gave me the answer, the answer is B :>

Simplify
92
97

1. 95
2.1/99
3.1/9-5
4. 1/95

Answers

Answer:

D : 1/9^5

Step-by-step explanation:

you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.

There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

4/9

Step-by-step explanation:

20+16= 36 total shapes. 16/36 simplifys to 4/9.

The simplest ratio of triangles to total shapes is 4:7.

Given that the number of squares=20 and the number of triangles=15.

The total number of shapes=20+15=35.

We need to find the simplest ratio of triangles to total shapes.

What is the ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, triangles: total shape=20:35

=4:7

Therefore, the simplest ratio of triangles to total shapes is 4:7.

To learn more about the ratios visit:

https://brainly.com/question/13419413.

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Help plsssssssssssssssssssssss thanks so much

Answers

Answer:

4 3/8

Step-by-step explanation:

1 1/4 * 3 1/2

Answer:

9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

So when it says he biked 3[tex]\frac{1}{2}[/tex] ur suppose to add it 3 times then u add the both ones on the top and u get 2 then the answer u get is either 9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{2}[/tex]

Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. with a diagram

Answers


the equation is 30/5=x, x-2=4

Wich equation describes this graph?​

Answers

Answer:

The correct equation for the graph is B.) y = x- 3

Answer:

B

Step-by-step explanation:

the right answer us B is that right

Priya has picked 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?

Plz answer quick needed for quiz

Answers

Answer:

2/3 cups

Step-by-step explanation:

Using unitary method we get the ans as 2/3.

Jane gets paid $120 for 8 hours. How much does she get paid an hour?​

Answers

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

I hope this helped, please mark Brainliest, thank you!

Cara deposited $200 dollars into her savings account bringing her balance up to $450.

Which equation can be used to find, x, the savings account balance before the $200 deposit?

Answers

Answer:

$250 dollars was the original amount of money before she deposited the extra $200 dollars.

Step-by-step explanation:

450 - 200= $220 dollars

220+200= $420 dollars

220+30= $250 dollars

250+200= $450 dollars

$250 dollars is the total amount of money that was originally deposited into her savings account.

Answer:

x + 200 = 450

Step-by-step explanation:

Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is

you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3

endrick walked 5 12 of a mile in 1 2 of an hour. How fast did he walk?

Answers

He walked 387 Bc u multiple

hey guys this is really in hard what is 1-5=

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

start at one then start counting backward from one

1, 0, -1, -2, -3, -4

hope this helps   (*/ω\*)

I need help with 2 questions plzzzzz

1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *

The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.

2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *

Scalene
Isosceles
Equilateral
No triangle can be drawn

Answers

Answer:

Step-by-step explanation:

1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2

3(x - 2) = - y - 4 ⇔ y = - 3x + 2

There is not significant relation between slopes such as:

- "the same" for parallel or the same lines;

- "opposite reciprocals" for perpendicular lines;

Thus, there is only answer option left: "The lines intersect at an angle other than 90°."

2). A(- 2, 3), B(- 2, - 7), C(4, - 5)

AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10

AB = 10

BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10

Triangle is Isosceles.

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