15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?

y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves

Answers

Answer 1

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

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

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

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

Answer 2

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

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Related Questions

Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?

Answers

Answer:

2,752

Step-by-step explanation:

English Translation

A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?

Solution

1 man was going to Bahia

With his 7 sisters.

Total nunber of humans = 1 + 7 = 8 humans

Each of the 7 sisters carried 7 boxes.

Each of the 49 boxes had 7 cats

Total number of cats = 7 × 7 × 7 = 343 cats

Each of the 343 cats had 7 puppies

Total number of puppies = 7 × 343 = 2401 puppies.

Total number of living things going to Bahia

8 humans + 343 cats + 2401 puppies

= 2,752

Hope this Helps!!!

Divide 140 in the ratio 1:2:7

Answers

Answer:14:28:98

Step-by-step explanation:

To divide a value by a ratio, we first find the total number of parts:

1+2+7 = 10

Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:

140 divided by 10 = 14.

Part 1: 14 x 1 = 14

Part 2: 14 x 2 = 28

Part 3: 14 x 7 = 98

Which is the balanced equation for S3 + O2 – SO2?
O O O O
S8 + 016 — 8S02
Se + O₂ → S₂ + O2
Se + O₂ → S₂0₂
Sg + 802 – 8802

Answers

The answer is not in the option. This is the answer
S3 + 3O2 ——-> 3SO2

Factor completely 10x2 + 2x − 8

Answers

Step-by-step explanation:

[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]

Answer:

[tex]2(5x-4)(x+1)[/tex]

You can check the answer by re-distributing the 2 and using the foil method :)

A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume

Answers

Answer:

72 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Let's substitute the given values into this formula:

V = lwh

V = (4)(6)(3)

Solve:

V = (4)(6)(3)

V = (24)(3)

V = 72

Therefore, the volume is 72 cubic centimeters.

Answer:

The answer is 72 cm3

Step-by-step explanation:

4 times 6 times 3

24 times 3

72

;))))))

39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?

Answers

Answer:

14 ° and 76 °

Step-by-step explanation:

We have that two angles are complementary, if the sum of their amplitudes is 90 °.

The complementary angles need not be consecutive or have any point in common.

Alpha and Beta are complementary if:

Alpha + Beta = 90 °

In this case it would be:

X - 76 ° = 90 °

X = 90 ° - 76 °

X = 14 °

Which means that each angle measures 14 ° and 76 °

Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25

Answers

I think is answer c 12/45

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

Please help me :( I’m struggling

Answers

Answer:

im assuming its b because the quality for the pic is bad and i cant really see it

Step-by-step explanation:

Answer:

the answer is c i believe

Associative
Property

Answers

Answer:

Below

Step-by-step explanation:

The associative property states that you can add or multiply numbers in any group.

Ex:

x + y + z = x + y + z

(x + y) + z = x + (y + z)

x * y * z = x * y * z

(x * z) * y = (x * y) * z

Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Division and Subtraction = NO ASSOCIATIVE PROPERTY

solve the following simultaneous linear equation x+2y=5 and x+3y=8​

Answers

Answer:

x= -1, y= 3

Step-by-step explanation:

First, label the 2 equations.

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

x +3y= 8 -----(2)

(2) -(1):

x +3y -(x+2y)= 8 -5

x +3y -x -2y= 3

y= 3 (simplify)

subst. y=3 into (1):

x +2(3)= 5

x +6= 5

x= 5 -6 (bring constant to 1 side)

x= -1

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work

Answers

Answer: 12i + 21

Step-by-step explanation:

You want to apply foil to the first two terms.

3 x 1 = 35i x 3 = 15i-4i x 1 = -4i-4i x 5i = -20i^2

You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20

So far you have (11i + 23) - (-i + 2).

11i + i = 12i23 - 2 = 21

Im 99% sure the answer is 12i + 21

Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram

Answers

Answer:

pentegon

Step-by-step explanation:

The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have coordinates of a polygon, the coordinate plane:

points: (1, 1), (1, 8), (4, 7), and (4, 3)

After, connecting the points to each other.

We will see, after joining the points, the polygon will be a trapezoid.

Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

Learn more about the regular polygon here:

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11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?

Answers

Answer:

£12

Step-by-step explanation:

Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.

Now, when they were 6 and the mean is £5, this means that the total is simply

6 * 5 = £30

Now, when a new student join, there is an increase in the value of the mean.

A new student joining means they are now 7 with the total now 7 * £6 = £42

Now the difference between the total of 6 and 7 will be £42 - £30 = £12

This value represents what the new pupil receive each week

I will mark you brainliest!!! Identify the exponential function shown in the graph.

Answers

Answer:

Letter B.

Step-by-step explanation:

Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.


a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =

Answers

Answer:

n =3

Step-by-step explanation:

20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.

when simplified, you get 1:3

Answer:

1:30

Step-by-step explanation:

minutes : hour
20           : 1
convert the hour into minutes
1 hr = 60 minds

20            : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1                 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1                 : 30

I’m crying pls help :(
Choose the definition for the function

Answers

Answer:

b.

Step-by-step explanation:

everything under x= 2 is x+1 meaning x<2 and at 2 it starts x+2

Answer:

The correct option is b.

Step-by-step explanation:

x + 1 ...........................x ≤ 5

x+2 .............................x ≥ 2

Which two equations represent parallel lines?
A. Y=2x-5
B. Y=-1 over 2x +5
C. Y=1over2x-5
D. Y=2x+ 5
And why?

Answers

Answer:

A&D

Step-by-step explanation:

Lines with the same slope are parallel. 2x-5 and 2x+5 have the same slope

Answer:

A and D are parallel.

Step-by-step explanation:

Refer to the slope-intercept equation (y = mx + b).

M = the slope

If the slopes are equal, then the lines are parallel.

The slope for line A is 2, and so is the slope for line D.

Line A and line D are parallel.

which method can be used to solve 11x13

Answers

Answer:

Simple column method

Step-by-step explanation:

  11

x 13

  33

 110

 143

Answer:

Use the grid method, since it is the most obvious option. But, you may also use the distribution method.

Step-by-step explanation:

Distribution method:

divide 13 into 10 +3

then multiply 11 with 10 and 3 individually.

This can be written as 11(10+3) = 110+33 = 143

Please mark brainiest

Triangle EFG has vertices E(-3,4), F(-5,1), and G(1,1). The triangle is translated so that the coordinates of the image are E’(-1,0), F’(-3,-5), and G’(3,-3).

Answers

Answer:

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Step-by-step explanation:

Explanation:-

Now we will applying below rules

Type of transformations                 change to co-ordinate point

vertical translation up 'd' units                 (x,y)→(x, y+d)

vertical translation down 'd' units            (x,y)→(x, y-d)

Horizontal translation left 'C' units            (x,y)→(x-c, y)

Horizontal translation right 'C' units           (x,y)→(x+c, y)

Now we will apply rule is

first Horizontal translation right 'C' units  and  vertical translation up 'd' units    

Given E( -3 ,4 ), F(-5 ,1) and G(1,1)

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

and it translated  E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

                           F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

                           G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Answer:C, The answer is the third option

PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.

Answers

Answer:

The other leg is about 21.3 cm

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

11²+b²=24²

121+b²=576

Subtract 121 from both sides

b²=455

b=[tex]\sqrt{455}[/tex]

b≈21.3

Answer:

21.3 cm

Step-by-step explanation:

We need to apply the Pythagorean Theorem.

The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:

a² + b² = c²

11² + b² = 24²

121 + b² = 576

b² = 576 - 121 = 455

b = √(455) ≈ 21.3 cm

Thus, the answer is 21.3 cm.

~ an aesthetics lover

Help plz!!!!!!
−3(4 − a) = 6

Answers

Answer:

a = 6

Step-by-step explanation:

use distribution method:

-3(4-a) = 6

-12+3a = 6

3a = 6+12

3a = 18

a = 18/3 = 6

_____________________________

Hey!!

Solution,

-3(4-a)=6

or, -12+3a=6

or, 3a=6+12

or, 3a=18

or,a=18/3

a=6

So the value of X is 6.

hope it helps..

Good luck on your assignment

___________________________

Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabbit pen. the dimensions of the rectangular rabbit pen are 14 by 10. what is the area of the garage?

Answers

Answer: 196

Step-by-step explanation:

Just answered this...

14x14=196

Use the quadratic formula to find both solutions to the quadratic equation given below

Answers

Answer:

C and D are correct: -1 and 0.5

Step-by-step explanation:

y = f(x) = 2x
Find f(x) when x = 1.
Enter the correct answer.
000
I
DONE
Clear all
000
E?​

Answers

Answer:

2

Step-by-step explanation:

f(x) = 2x

Let x =1

f(1) = 2*1

f(1) = 2

Answer:

f(1)=2

Step-by-step explanation:

We are given the equation:

f(x)=2x

We also know that x=1. Therefore, we can substitute 1 in for every x.

f(1)= 2(1)

Multiply 2 and 1

f(1)=2

f(x) when x=1 is 2.

A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text

Answers

Answer:

60 m³

Step-by-step explanation:

A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).

Given a prism with a base of length (l) = 5 m  by width (w) = 3 m and a height (h) = 4 m.

Volume= l × b × h

Volume = 5 m × 4 m × 3 m = 60 m³

Answer:

60m3

Step-by-step explanation:

the transformation shown is a rotation

true or false​

Answers

Answer:

True

Step-by-step explanation:

Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2

Answers

Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]

If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)

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

Explanation:

We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.

Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]

Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.

----------

Optionally you can expand out each product in the numerator and denominator to get

(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4

(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8

I used the FOIL rule

So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]

I tried to answer this but not getting the right answer. Can someone help me plzzz

Answers

Answer: 17

Step-by-step explanation:

Use the Pythagorean theorem.

C^2 = A^2 + B^2

So, C is always the hypotenuse which is the longest side length and the side length diagonal of the right angle. Side "s" is the hypotenuse.

Square sides AB and BD

It looks like this:

C^2 = 8^2 + 15^2

8^2 = 64

15^2 = 225

225 + 64 = 289

the square root of 289 is 17

17 = s

Miquel babysits for 3 hours and eams $15. Which represents the unit rate?
0 $1 per 5 hours
O $15 per hour
0 1 hour per $5
o 55 per hour​

Answers

Answer:

$5 per hour.

Step-by-step explanation:

$15 per 3 hours.

[tex]15/3=5[/tex]

[tex]3/3=1[/tex]

$5 per 1 hour.

Given f(x) = –3x – 4, find f(–5).

Answers

Answer:

3x

Step-by-step explanation:

because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x

The answer is 3x if wrong I’m sorry
Other Questions
I cant do simple math please help :) which word is a synonym for gain? Find the equation of the exponential function represented by the table below:X0123Y41664256Y= ? Write the first equation of motion. Under what condition(s) is this equation valid? Where was her mistake if she made any? Kristen invests $5,000 in a bank. The bank pays 6.45% interest compounded semi-annually. How much money will she have after 2 years, if she makes no additional contributions or withdrawals to the account?a:5665.80b:5327.70c:4375.80d:5676.88 Patricks luck had changed over night but not his skill at mathematical reasoning. The day after graduating from college he used the $20 that his grandmother had given him as a graduation gift to buy a lottery ticket. He knew his chances of winning the lottery were extremely low and it probably was not a good way to spend this money. But he also remembered from the class he took in business analytics that bad decisions some-times result in good outcomes. So he said to himself, "What the heck? Maybe this bad decision will be the one with a good outcome." And with that thought, he bought his lottery ticket.The next day Patrick pulled the crumpled lottery ticket out of the back pocket of his bluejeans and tried to compare his numbers to the winning numbers printed in the paper. When his eyes finally came into focus on the numbers they also just about popped out of his head. He had a winning ticket! In the ensuing days he learned that his share of the jackpot would give him a lump sum payout of about $500,000 after taxes. He knew what he was going to do with part of the money, buy a new car, pay off his college loans, and send his grandmother on an all expenses paid trip to Hawaii. But he also knew that he couldnt continue to hope for good outcomes to arise from more bad decisions. So he decided to take half of his winnings and invest it for his retirement. So what do you think? Who is right, Josh or Peyton? And more important, why? in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime A. $600B. $1600C. 1200D.$8400 a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay a .35% b.120% c.65% d70% A tree diagram is simply a way of representing a sequence of events. True or False. Which is an irrational number? Anderson Corporation had a credit balance of $43,000 in its Retained Earnings account on December 31, 2014. Net income of $6,000 was reported on its income statement for the year ended December 31, 2015. Dividends in the amount of $5,625 were declared on December 31, 2015; the dividends are payable to the company's stockholders on February 1, 2016. The balance in its Retained Earnings account on December 31, 2015 equals _____. In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kellys distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed? I will give the brainliest answer What was commutation in the context of the military draft? A. Commutation allowed people to pay $300 to avoid the draft. B. Commutation was a tactic of rioters trying to end the draft. C. Commutation allowed criminals to serve in the army instead of going to prison. D. Commutation allowed people to move to Canada to avoid the draft. Which of the following are solutions to the inequality below? Select all that apply.7j > 30j = 2j = 8j = 1j = 11 1. Implement the function dict_intersect, which takes two dictionaries as parameters d1 and d2, and returns a new dictionary which contains only those keys which appear in both d1 and d2, whose values are a tuple of the corresponding values from d1 and d2. E.g., dict_intersect({'a': 'apple', 'b': 'banana'}, {'b': 'bee', 'c': 'cat'}) should return {'b': ('banana', 'bee')} 2. Implement the function consolidate, which accepts zero or more sequences in the star parameter seqs, and returns a dictionary whose keys consist of values found in those sequences, which in turn map to numbers indicating how many times each value appears across all the sequences. E.g., consolidate([1,2,3], [1,1,1], [2,4], [1]) should return the dictionary {1: 5, 2: 2, 3: 1, 4: 1}. what did the results of the experiment show Facilitated diffusion requires _____. A.membrane proteins B.transport proteins c.membrane pouch d.energyI NEED HELP ASAP!! (i will mark brainliest or like your tiktoks l m a o) What is Modernism and how is it different from postmodernism? Can you give an example of each? Thanks!!