write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1) ​

Answers

Answer 1

Answer:

Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias

Answer 2

Answer:

[tex]-2x+y=-3[/tex]

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation [tex]2y+x=4[/tex] has a slope of [tex]-\frac{1}{2}[/tex] ([tex]y=-\frac{1}{2}x+2[/tex]), any line perpendicular to it will have a slope of [tex]-\frac{1}{-\frac{1}{2}}=2[/tex].

Therefore, we have the line:

[tex]y=2x+b[/tex] where [tex]b[/tex] is the y-intercept.

We can plug in the point it passes through to find the final equation:

[tex]1=2(2)+b,\\b=1-4,\\b=-3[/tex].

Therefore, the equation of the line perpendicular to  [tex]2y+x=4[/tex] that passes through the point [tex](2, 1)[/tex] is:

[tex]y=2x-3[/tex] (slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

[tex]y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}[/tex].


Related Questions

in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.


Helpppp

Answers

Part A = 46

64+70=134, 180-134=46

Part B

PRD and BPR are same side interior meaning they are supplementary so

BPR=70 and APB is a straight line meaning it = 180 which gives you

64+70+x=180

The measure of angle x is 50 degrees.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180

Angle BPR + 115 = 180

Now subtract 115 from both sides;

BPR = 65

Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180

65 + x + 65 = 180

Now add like terms;

130 + x = 180

x = 50

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The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.

Answers

Answer: 12 almond pieces and 16 cranberry pieces

Step-by-step explanation:


12. The original price of a stove was $480. Its price has since increased by $30. The stove is
currently on sale for 10% off. What is the sale price for the stove?

A $459
B. $462
C. $472
D. $500

Answers

Answer:

A. $459

Step-by-step explanation:

) Choose ALL the numbers that are less than 6.58. 6.583 6.5 6.58 5.98 6.538 6.49​

Answers

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

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At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a
point 300 meters away from the launch pad for the balloon. The angle of elevation to
the top of the balloon at this time is 25°. At 10:02am, the person observes that the
angle of elevation to the balloon is now 60°. What is the change in altitude, to the
nearest meter, for the balloon over the 2 minutes between the first and second
observations?

Answers

Answer:

We are given two observations Lets use geometric properties to solve300 meters is the hyp or c Theta is 25 degree Theta changes to 60 degree Hence tan(25)= x1/300x1=139.8Now let's find the second height tan(60) =x2/300x2=519.6 ft Now x2-x1 So the difference is 379.8 ft

Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)

Answers

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

What is the slope-intercept form of a line?

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

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Which ratio is the same as 2/3?

Answers

Answer:

6:15 6 to 15 it's the same o

please help and show work if you can ​

Answers

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

For each point Identity where the point is located

HELP THIS IS LEGIT OVERDUE BY TWO HOURS​

Answers

Answer:

3, 1, 2, 4, 5, 6

Step-by-step explanation:

i gave it to you in order from top to bottom

SOMEONE PLEASE ANSWER ASAP!!!!
the formula d=rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.

Answers

Answer:  0.75 hours which is the same as 45 minutes

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

Explanation:

d = distancer = rate, which is another term for speedt = time

We're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).

This must mean that d = 375 and r = 500. Let's find t

d = r*t

d/r = t .... divide both sides by r

t = d/r

t = 375/500

t = 0.75

It takes 0.75 hours, which is the same as 45 minutes because

0.75*60 = 45

If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Answers

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?

Answers

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

What is the measure of an exterior angle of a regular 13-gon?

Answers

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

What is a regular 13-gon?

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

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PLZZZ ANSWERRR FASTT

Answers

Answer:

>

Step-by-step explanation:

33/8=4.125

8>4.125

Which number is greater than 5.63? *




A.5.658
B.5.628
C.2.758
D.0.688

Answers

Answer:

A

Step-by-step explanation:

The other values are lesser than 5.63

Answer:

5.658-A

Step-by-step explanation:

Need help on this please

Answers

Answer:

the fourth option: cannot be determined

Step-by-step explanation:

So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.

The second option is the same as 2.3 times 21 and again its incorrect.

the third option  

the fourth option has the same outcome because the fractions are equal.

therefore it cannot be determined


Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.

Answers

Answer:

3(2+x)=0

Step-by-step explanation:

Here are some vocab words:

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?

Answers

Answer:

$53,700

Step-by-step explanation:

Commission earned = percentage commission x total number of houses sold

[tex]\frac{6}{100}[/tex] x $895,000 = $53,700

what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP

Answers

meh not good at this

Answer:

WHAT IS HE SAYING?!

SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.

Explanation:

978/33

What is the value of X

Answers

Answer:

b. 12

Step-by-step explanation:

[tex] {h}^{2} = {x}^{2} + {y}^{2} \\ {x}^{2} = {h}^{2} - {y}^{2} \\ x = \sqrt{ {h}^{2} - {y}^{2} } \\ x = \sqrt{ {(15)}^{2} - {(9)}^{2} } \\ x = \sqrt{225 - 81} \\ x = \sqrt{144} \\ x = 12[/tex]

Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?

c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y

Answers

i think the answer is C

Answer:

b

Step-by-step explanation:

because its minus

i think

Express y = 3x + 10 using function notation.

Answers

Answer: f(x) = 3x + 10

Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.

This is is the correct function notation:

g(x)=3x+10

Hope that helps!!!

giving out brainlist and extra points ♥️

Answers

It issss
Y=-1/4x+5
Y=3x-8

Answer:

Pretttyyy sureeee

Y=-1/4x+5

Y=3x-8

Step-by-step explanation:

Complete the pairs of corresponding parts if △RST ≅ △TXY.



RT =

TX
XY
TY

Answers

Answer:

RT is corresponding to TY

Hence, we conclude that:

RT = TY

Step-by-step explanation:

Given

△RST ≅ △TXY

It means the triangles △RST and △TXY are congruent to each other.

We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that:

RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.

We need to determine RT

as

RT is corresponding to TY

i.e. RT = TY

Hence, we conclude that:

RT = TY

Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

What is the missing angle. Find x

Answers

Answer:

20 20202020020200220020200

Step-by-step explanation:

Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?​

Answers

Answer:

75°

Step-by-step explanation:

How do you calculate pi? answer quick and u will get brainiest

Answers

Answer:

Make sure you are using a perfect circle.

Measure the circumference of a circle as accurately as you can.

Measure the diameter of the circle.

Use the formula.

For more accurate results, repeat this process with several different circles, and then average the results.

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

You calculate anything times 3.14


Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart

Answers

Answer:

So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125

Step-by-step explanation:

For every hour, add 25 in each box.

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