Find the distance from point A(2,-1) to the line y=-x+4

Answers

Answer 1

9514 1404 393

Answer:

  (3/2)√2 ≈ 2.1213 units

Step-by-step explanation:

The distance d from point (x, y) to line ax+by+c = 0 is given by ...

  d = |ax +by +c|/√(a^2 +b^2)

We can write the equation of the line as ...

  x + y -4 = 0

so the distance is ...

  d = |x + y - 4|/√(1^2 +1^2)

For point (x, y) = (2, -1), the distance is ...

  d = |2 +(-1) -4|/√2 = 3/√2 = (3√2)/2

The distance from A(2, -1) to the line y = -x +4 is (3√2)/2 units.

Find The Distance From Point A(2,-1) To The Line Y=-x+4

Related Questions

Anyone know this?I need help

Answers

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

50 POINTS!!!!!!
Which transformation causes the described change in the graph of the function f(x)=sin(x)? Options for all include sin(x)-7, sin(x)+7, sin(x-7), sin(x+7)
The transformation ______ results in a vertical shift down.
The transformation _______ results in a horizontal shift left.
The transformation _____ results in a vertical shift up.
The transformation _______results in a horizontal shift right.

Answers

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Answer:

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

platoooo 2022

Select one:

A- 25%

B- 15%

C- 20%

D- 30%

Answers

Answer:

what i dont get what you are trying to ask

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

honestly i don't know i'm just guessin so i can get points

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

help now asap ill give brainliest

Answers

Answer:

288 square inches

Step-by-step explanation:

since we are not told what to find, we can as well find the volume of the prism

Volume of the prism = BH

B is the base area = 1/2 * 6 * 8

B = 48/2

B = 24 square inches

H is the height of the prism = 12in

Volume of the prism = 24 * 12

Volume of the prism = 288 square inches

pLEASE I BEG OF U HELP - ill give brainliest

Answers

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *

A. 16
B. 32
C. 48
D. 66

Answers

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

please help and describe and correct the error in finding a solution of the equation in two variables! i will mark you brainliest !!!!

Answers

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain

Answers

Answer:

4kg

Step-by-step explanation:

Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size

The first step is to calculate the quantity in the big bag

= 3/7 × 42

= 3×6

= 18

The amount left in the remaining bags is

= 42-18

= 24

Therefore the kg of tea in the small bags can be calculated as follows

= 24/6

= 4

Hence there are 4kg of tea in the small bags

PLZZZZ HELP I WILL MARK BRAINLIEST!!!

Answers

Answer:

41.1 feet of ribbon was leftover

(fraction form: 41 1/10)

Step-by-step explanation:

122 1/2 = 122.5

32 2/5 = 32 4/10 = 32.4

122.5 x 0.4 = 49

122.5 - 49 = 73.5

73.52 - 32.4 = 41.1

41.1

Answer:

Step-by-step explanation:

40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.

Equation: y=p%·x

p=40% x=122.5

Solve the equation for y.

y=p%·x

y=40%·122.5'

Converting percent to decimal.

p = 40%/100 = 0.4

y=0.4·122.5

y=49

[tex]49-32\frac{2}{5}[/tex]

[tex]49-\frac{162}{5}[/tex]

[tex]\frac{83}{5}[/tex]

[tex]16\frac{3}{5}[/tex]

Answer:

Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.

Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination

Answers

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

[tex]F + V - E = 2[/tex]

Where

[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]

[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]8 + 12 - 6 = 2[/tex]

[tex]14 = 2[/tex]

The above equality is false. Hence, (a) does not exist

[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]6 + 6 - 4 = 2[/tex]

[tex]8 = 2[/tex]

The above equality is false. Hence, (b) does not exist

[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]20 + 30 - 12 = 2[/tex]

[tex]38 = 2[/tex]

The above equality is false. Hence, (c) does not exist

need help with this question​

Answers

Answer:

n = 12.5t

Step-by-step explanation:

add up the calories burned in both days

275 + 450 = 725

add up the minutes running on both days

22 + 36 = 58

divide calories by minutes

725 calories/58 minutes = 12.5 calories/1 minute

So 12.5 multiplied by any number of minutes tells you how many calories you burned

The number of calories you burned is dependent on the number of minutes you ran.

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer:

x = 77.5

Step-by-step explanation:

1. Use cross-multiplication to find x.

[tex]\frac{13}{21} =\frac{48}{x}[/tex]

[tex]13x =1008[/tex]

2. Divide and round.

x ≈ 77.5

maddyross91 ! i’ll give brainliest please help

Answers

Answer:

Symbol

Step-by-step explanation:

the object symbolizes something else

Answer:

C. Symbol

Step-by-step explanation:

Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.

Perform the operation.
(4x^2 + 6x + 7) - (-8x^2 – 2x + 6)

Answers

[tex]12 {x}^{2} + 8x + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Subtract 4.25 and 12.835​

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]

NOTE:-

You must subtract the smaller number from the bigger number.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor. If you know the center of dilation is the origin, you can simply divide any non-zero coordinate of the transformed figure by the corresponding coordinate of the original figure to get the scale factor. Sample Response: Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image. Which did you include in your response? Check all that apply. Use corresponding ordered pairs. Divide the coordinates of the image by the pre-image. Determine that the pre-image times the scale factor produces the image.

Answers

Answer:

babylonia asyria and south merica this

Answer:

Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.

Step-by-step explanation:

Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true. ​

Answers

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

please help me with this one

Answers

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

120! Hope it helped

I NEED HELP RIGHT NOW PLEASE!!!!!
NO LINKS

Answers

Answer:

48

Step-by-step explanation:

The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192

What is the slope of the line that passes through the points (6, -5) and (6, —8)?
Write your answer in simplest form.

Answers

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

(x₁ , y₁) = (6 , -5)(x₂ , y₂) = (6 , -8)

TO FIND :-

Slope of the line

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

SOLUTION :-

According to the question ,

[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)

What is the value of -4d2 + 15d2 = 5 for d = 1?

Answers

Answer:

Step-by-step explanation:

-4(1)^2 + 15(1)^2 =5

-4 + 15 = 5

since the equation is false,   15-4  does not equal 5  , then something has been left off the equation.      look carefully , did you forget anything?  

How can I solve y^2 + 13y + 12?

Answers

[tex](y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

(y+1)(y+12) that’s what I got.

I’ll mark you Brainliest!!! Please helppp!!!! Don’t answer with “you can download the answers here” and then the link, that doesn’t work! You just want the points


The value of an investment after t years is given by the function, A (t) = 500 (1 + 0.07t).

Complete the following statement. The initial value of the investment is_____,and the annual simple interest rate is____percent.

For the first blank
A. $500
B. $700

For the second blank
A.50
B.70
C.7
D.0.5
E.0.07

Answers

Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

Please help I am confused explain your answer and brainliest

Answers

Answer:

Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.

Answer:

Andrew

Step-by-step explanation:

Andrew since his sum is practically greater than the rest of the negative numbers.

These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream

Answers

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

Gold chain with an original price of $120 is on sale for $96 what is the percent of the discount

Answers

Answer:

20% off

Step-by-step explanation:

96/120 = 80% price still, so 20% off.

Are complementary angles adjacent?
A) Always
B) Sometimes
C) Never​

Answers

Answer:

Always

Assumption:

At least how I know it.

The answer is always

Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?

Answers

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

A rectangular is 11 inches long and 8 inches wide. Find its area

Answers

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

Other Questions
Since the 1990s, many school districts have gone backward by becoming more segregated. Which section BEST explains WHY this has happadedNone Of The Same Opportunities"School Segregation Is A Civil Rights Violation"O "50 Years Ol Segregation In Mississippio "Courts Stopped Paying Attention" What are the adaptive features of animal in rainforest (44=6x-1+9x,-5)I dont know how to answer this I just know its ( , -5) What people occupied (and still do) the southernmost part of Africa? * Identify the organelle that makes energy for the cell O Nucibus O Mitochondria O Golgi Apparatus O Cell Membrane Can someone please please help me If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of thenew function? Shift 1 unit left Vertically stretch by a factor of 3. Reflect over the x-axis.O A. g(x) = -3(x + 1)2B. g(x) = -3x2 - 1C. g(x) = (-3x + 1)2D. 9(x) = -3(x - 1) The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourthperson's age?OA. 32OB. 34C. 35D. 36E. 40 In the fifth stanza at the top of page 2 why does the author use the phrase my route plan to deep in the city? PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST Consider the sequence 1, 4, 16, 64, 128, Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to [infinity]. The sequence converges to [infinity]. Which four Pacific Rim countriesare called the "Asian tigers"? if RT= 19 meters, find LW. In the human body the breaking down of proteins and removal of waste takes place primarily in which two organ systems is 3.39 a rational number Find the next term of the sequence 2, 8, 32, ... Armando is going to replace the trimaround all of the doors in his house. Theoutside of each door measures 18 feet.If he has 9 doors, how many inches of,trim does he need to replace? Electrolytes such as sodium and potassium control by helping to maintain acid-base balance. The 3rd one please!Ill mark you the brainliest!!!! How much work can a motor with a power output of 0.70 hp do in 2 s?