What is the equation of a line that is perpendicular to y = 2x + 4 and passes
through the point (4, 6)?
O A. y=-3x +4
O B. y=-3x+6
O C. y=1x+4
O D. y=-{x+8

Answers

Answer 1
What is the last option? It is unclear what number it is but it seems like it will be the last option.
Answer 2

The equation of the line that is perpendicular to y = 2x + 4 and passes through the point (4, 6) is y = (-1/2)x + 8.

The given equation is y = 2x + 4, which is in slope-intercept form,

y = mx + b, where m is the slope of the line.

The slope of this line is 2.

A line that is perpendicular to this line will have a slope that is the negative reciprocal of 2, which is -1/2.

Using the point-slope form of the equation of a line,

which is y - y(1) = m(x - x(1)), where (x(1), y(1)) is a point on the line, we can find the equation of the line that passes through the point (4, 6) and has a slope of -1/2:

So,

y - 6 = (-1/2)(x - 4)

y - 6 = (-1/2)x + 2

y = (-1/2)x + 8

Therefore,

The equation of the line that is perpendicular to y = 2x + 4 and passes through the point (4, 6) is y = (-1/2)x + 8.

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Related Questions

For the trapezoid below, what is the correct term for RT?
R
E
1
1
TL
w
A. Leg
B. Apothem
C. Base
D. Altitude
HELPPP MEEE ASAPPPPP PLSSSS

Answers

The correct answer is a Leg (answer A).

An apothem would be a segment a segment formed formed from the center of a regular polygon that intersects one of its sides at 90°. In a trapezoid, the sides adjacent to the bases (because there’s two bases) are called legs.

Need help ASAP. Please and thanks!:
Four of the interior angles of a hexagon measure 92°, 100°, 94°, and 140°. The remaining two angles each measure (x−32)°. What is the value of x? Justify your response.

A. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 123°
. Thus, (x−32)°=123°, and so x=155.

B. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.

C. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 147°
. Thus, (x−32)°=147°, and so x=179.

D. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 246°. Thus, (x−32)°=246°, and so x=275.

Answers

Answer:

The answer is x=294 (B)

Step-by-step explanation:

Remember, all interior angles of a hexagon add to 720.

So add all the  given numbers first.

92+100+94+140+x= 720

426+x=720

-426 from both sides

x= 294

I know this is a week later since you posted the question, sorry.

What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?

Answers

Answer:

(-√3/2., -1/2)

Step-by-step explanation:

This is a reflection in the line y = -x.

So x =  1/2 becomes y = -1/2

and y = √3/2  becomes x = -√3/2.

Of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and
12 clients had hair in other colors. Considering this data, how many of the next 12 clients to
get haircuts should you expect to have black hair?

Answers

Answer: 3

Step-by-step explanation:

The number of getting the black hair color clients will be 4.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.

The probability is:-

P = 4 / 12

The number of clients having black color hair is calculated as:-

Number = ( 4 / 12 ) x 12

Number =  4

Therefore, there will be 4 people getting black hair colors.

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What is the probability that Sarah will not select the queen of hearts?

Answers

Answer:

?

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.

Which statement is true about the pattern above?

Answers

The answer is the fraction 12/16 is also part of the pattern

Answer:

The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.

Step-by-step explanation:

Help I need help with this

Answers

Answer:

????

Step-by-step explanation:

673,000 in numeric help!!

Answers

Answer:

huh? explain better

Step-by-step explanation:

helpppp pleaseee
NO LINK

Answers

Answer:

The graph increases

Step-by-step explanation:

What is the median for the numbers 1,2,3,4,5,6,7,8,9,10??


Thanks

Answers

Answer:

5.5

hope this helps

have a good day :)

Step-by-step explanation:

WHOEVER ANSWERS FIRST GETS BRAINLIEST


A mechanic had 4 1/2 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.

How many pints of motor oil did the mechanic use during the day?


4 pt

13 pt

19 pt

31 pt

Answers

Answer:

19

Step-by-step explanation:

i took the quiz

Solve for x.

A) 13
B) 26
C) 11

Answers

Answer:

13

Step-by-step explanation:

Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc

That being said we want to create an equation to solve for x

The equation would be 7x + 5 = 192/2

We now solve for x

step 1 simplify

192/2=96

now we have 7x + 5 = 96

step 2 subtract 5 from each side

5 - 5 cancels out

96 - 5 = 91

7x = 91

step 3 divide each side by 7

7x/7 = x

91 / 7 = 13

we're left with x = 13

Hari bought 5 apples at Re 1 and sold 4 apples at Re 1. Find the profit or loss in percentage.​

Answers

Step-by-step explanation:

C.P=5×1=Rs.5

S.P.=4×1=Rs.4

Loss=C.P.=S.P.

=Rs.5-Rs.4

=Re.1

loss%=loss/C.P ×100

=1/5×100%

=20%

Who are some good you tubers to watch?

Answers

Answer:

Cocomelon

Their videos are pretty good!

Evaluate the following expression when x=-5 and y=7: *enter numbers only

Answers

Answer

x+y

Step-by-step explanation:

Find the next 2 numbers in the sequence: 12,-1, -14, -27, -40.....

Answers

Answer:

12, -1, -14, -27, -40, -53, -66

Step-by-step explanation:

The pattern rule here is,

Start at 12, and minus 13 everytime.

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Step-by-step explanation:

Given :

12 , -1 , -14 ....

And we need to find the next two terms of the sequence. Firstly let's find out the common difference.

[tex]:\implies[/tex] CD = -12-1 = -13

Next two terms :-

[tex]:\implies[/tex] Next terms = -53 , -66

Hence the next terms are -53 & -66 .

ANSWER ASAP! MARK BRAINLIEST
3.) In triangle RST, RS = 4, ST = 5, and RT = 6. Which angle is largest?
Hint draw a picture!
A) B) C) D) Cannot be determined

Answers

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

I really need help with this! Marking the best answer as brainliest!

Answers

Answer:

0, 3, -6, 7

Step-by-step explanation:

pls help!!!!!!!!!!!!!!!

Answers

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

What angles can make a triangle, it has to do with acute, right, and obtuse angles. which two of these three make a triangle?

Answers

Answer:

acute angles and an obtuse angle

Step-by-step explanation:

There are different types of triangle. We have;

Right angled

Obtuse triangle

isosceles triangle etc

Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.

hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle

Please help :') Estimate 15 divided by 2.57

Answers

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?

Answers

Answer:

191 Feet.

Step-by-step explanation:

Answer: Your answer should be 191!

Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?

Answers

Answer:

4/13

Step-by-step explanation:

Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13

i need to find the square root of √16

Answers

the square root of 16 is 4

Answer:

4

Step-by-step explanation:

I don't know how to explain this other than use a calculator.

Hope that this helps!

© In a class full of men and women,4/9 of the class are women.
What is the ratio of men to women in its simplest form?

Answers

Answer:

4:9

Step-by-step explanation:

The figure shows a large triangle divided into two smaller triangles what is the value of x in the figure

Answers

Answer:

40

Step-by-step explanation:

Find the other missing angle, which is supplementary to 100 first.

Supplementary angels are a sum of 180

The missing angle is 180-100 = 80

Now use that to find missing angle x

All angles in the triangle have a sum of 180

180 = 60+80+x

180-60-80=x

40 = x

HELPLPALPLAPLPL PLEASE BRAINLIEST

Answers

Answer:

2/3

Step-by-step explanation:

[tex]p( \frac{2}{6} + \frac{2}{6} ) \\ p = \frac{4}{6} \\ = \frac{2}{3} [/tex]

A rational number equivalent to 5/7 is​

Answers

5/7 is 5÷7

so

5÷7 = 0.7142857143

Let’s talk about the meaning Fractions: when you have a fraction it means to divide. So, When you have 5/7 you divide 5 and 7 because Fractions mean division.

5/7 = 0.71428571428 (Decimal NOT rounded)

please help me if u can i need a good grade on this please and thank you have a good day.

Answers

Answer:

[tex]yes (k) = \frac{1}{9}[/tex]

What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10

Answers

Step-by-step explanation:

2x+7x-5=10

2x+7x= 10+5= 15

2x ×9=15

2x =15-9=5

x=5/2=2.5

hope it helped
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