The equation of a line is y = 2/3x + 5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4, 2)?​

Answers

Answer 1

Step-by-step explanation:

line that is perpendicular to the given line :

y = 2/3x + 5

m1 × m2 = -1

m1 = the coefficient of x

m1 = 2/3

remember : m1 × m2 = -1

2/3 x m2 = -1

2m2 ÷ 3 = -1

(let m2 = x)

2x ÷ 3 = -1

(cross multiply)

2x = 3 × -1

2x = -3

(divide both sides by the coefficient of x)

x = -3/2

Remember : m2 =x

m2 = -3/2

The line that passes through the point (4,2) ;

( note : x¹ = 4 , y¹ = 2)

m = (y - y1) ÷ (x - x1 )

-3/2 = (y - 2) ÷ (x - 4)

(cross multiply)

-3(x - 4) = 2 (y - 2)

-3x +12 = 2y - 4

(make y the subject of formula )

-3x + 12+ 4 = 2y

-3x + 16 = 2y

(

(divide through by the coefficient of y)

-3x/ 2 + 16/2 = y

-3/2x + 8 = y

HOPE IT WAS HELPFUL


Related Questions

–10 • 2 ÷ (–4) + 8 • 5
25


35


45


65

Answers

Answer:

The answer is 35

Can I have brainliest

Answer:

the answer is 45.

slope: -2, y-intercept: -3
Write an equation of a line in slope intercept form with the given slip and y intercept

Answers

Answer:

Step-by-step explanation:

The slope intercept form of a line is Y=MX + B where M is the slope and B is the y-intercept.

We know both of these so the equation turns into Y=1/2X-3

Y=-2x+3 is the correct equation.

What is the difference between 234 and 250

Answers

Hey there!

If you ever come across the word “difference” in mathematics (or math) it usual means “SUBTRACT” (or SUBTRACTION) so basically you’re going to SUBTRACT 234 from 250

Equation:

234 - 250 = -16

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

One phone company charges $0.15 per minute for long-distance calls. A second
company charges only $0.10 per minute for long-distance calls, but adds a monthly
fee of $4.95.
a. Write a linear function representing the cost for the first company for x minutes.

Answers

a. For the first company, the equation is: y = 0.15x

What does this symbol mean

Answers

Answer:

It's the Ujarati Digit Four

I hope this helps!

Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 10 1/2 inches long how many pieces can he make?

Answers

Answer:

20 pieces

Step-by-step explanation:

Find the critical value Zc necessary to form a confidence interval at the level of confidence c=0.82 what does Zc=

Answers

Answer:

The z-critical values are:

[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]

Step-by-step explanation:

The confidence level is, c% = 82%.

The significance level for the two tails are:

Left tailed:

[tex]\frac{\alpha}{2} =\frac{1-c\%}{2}[/tex]

   [tex]=\frac{1-0.82}{2}\\\\=\frac{0.18}{2}\\\\\=0.09[/tex]

Right tailed:

[tex]1-\frac{\alpha}{2} =1-\frac{1-c\%}{2}[/tex]

         [tex]=1-0.09\\\\=0.91[/tex]

The z-critical values are:

[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]

*Use the z-table.

Write the equation that describes the line with slope = -8 and y -intercept = 2 in slope -intercept form (y=Mx+b).

Answers

Answer:

y=-8x+2

Step-by-step explanation:

The reason that is the answer is because the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept so y=mx+b would be y=-8x+2


GUYS PLS PLZ HELP ME ITS DUE IN 1h!!

Answers

Step-by-step explanation:

1. HF

2.Given

3. < HFG

4. By S. A. A axiom

meera is researching cruising speeds of different planes. which airplane has a greater cruising speed

Answers

Answer:

50,350

is answer

Answer:

Step-by-step explanation:

Speed = rate = slope

Find slopes:

Table:

(10, 70)

(20, 140)

Speed = 7 km/min

Graph:

(6, 90) , (4, 60)

Speed = (90 - 60) / (6 - 4) = 30/2 = 15 km/min. the greater cruising speed

Find the solution of this system of equations
-X + 8y = -35
-X - 9y = 50

Answers

Answer: (-5,-5)

Step-by-step explanation: The two lines meet up at (-5,-5)

Answer:

y = 5

x= 75 ( not confident about x)

Simplify the expression
9y+4-6y

Answers

Answer:

3y+4

Step-by-step explanation:

9y-6y=3y

Jevon has joined a gym. The membership has an initial fee of $50.00 and costs $10.00 per month
This table shows the linear relationship between the total cost, y, and the number of months Jevon is a member of the gym, X.
Fill in each box to correctly model the relationship between x and y.
Months, x
5
10
20
Total cost, y
25
$100.00
$
$200.00
$
$300.00

Answers

Answer:   Months, x : 15      Total cost, y:  $150.00  and $250.00

Step-by-step explanation:

The amount should be like Months, x : 15     Total cost, y:  $150.00 and $250.00

Important information: The membership has an initial fee of $50.00 and costs $10.00 per monthThis table shows the linear relationship between the total cost, y, and the number of months Jevon is a member of the gym

Calculation:

The months should be 15

Total cost should be $150 and $250

Learn more about the cost here: https://brainly.com/question/24362848

PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.

1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.

Answers

Answer:

1. 15*15

2. 10*10

3. 3*3

Step-by-step explanation:

Answer:

Square the given value

Step-by-step explanation:

1. 15^2=225

10^2=100

3^2=9

A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.

please help
6s - 10 = 10
what is s?
( 6 x ___ )

Answers

Answer:

10/3

Step-by-step explanation:

6s-10=10

6s=10+10

6s=20

S=20/6

s=10/3

So the value of s is 10/3

Use trigonometric identities to simplify the expression.


sec^{2} (\frac{\pi }{2} -x) [sin^{2}(x)-sin^{4}(x)][/tex]


Literally have no clue on how to even begin this, so please help if you can!

Answers

The answer is b I took the test

Find the coordinates of the Circumcenter of the triangle below.

Answers

9514 1404 393

Answer:

  (1, 3)

Step-by-step explanation:

The triangle is an isosceles right triangle, so the circumcenter is the midpoint of its long side: (1, 3).

Three tickets to a movie costs $37.50. If all tickets were the same price, what would be the cost of 2 tickets?

Answers

Answer:

$25 I believe

Step-by-step explanation:

You would take $37.50 divided by 3 and get $12.50 which is the price of 1 ticket

Then you would multiply $12.50 x 2 to get $25

Answer: $25.00

Step-by-step explanation: First you would divide $37.50 by 3 and get the price of one ticket which would be 12.50. Then you would multiply 12.50 by two and get $25.00.      

Express the ratio 5 : 20 as a percentage.

Answers

5 : 20 as a percentage equals 5/20, which is 0.25 or 25%

‐2(‐5i-4)+i+1 = 119 ​

Answers

Answer:

i = 10

Step-by-step explanation:

-2(-5i-4)+i + 1=119

Distribute -2 into whats in the parentheses

10i+8+ i+1=119

Now combine like terms

(10i + i)+ (8+1)= 119

11i + 9 = 119

Subtract 9 from both sides

11i + 9-9= 119-9

11i = 110

Now divide by 11

11i/11 = 110/11

i= 10

see the attachment. ​

Answers

Answer:

Step-by-step explanation:

phone: it looks like the x axis. It's not. See the rainbow in quad 1. That's the way a reflection should look like.

star: y axis

skate: y axis

camera: neither. Look at the buttons. They should be reversed.

cherry: x axis

Strawberry: x axis

Rainbow: x axis

Answer:

Shooting start = Y axis

Roller skates = Y axis

phone = X axis

Rainbow = X axis

Strawberry = X axis

Cherry = Y axis

Camera = Y axis

Step-by-step explanation:

find the value of
Sin (60° +45°)​

Answers

Answer:

Step-by-step explanation:

The exact value of sin(45) sin ( 45 ) is √22 2 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 . The exact value of cos(45) cos ( 45 ) is √22 2 2 . The exact value of sin(60) sin ( 60 ) is √32 3 2 .

Answer:

√6+√2/4

Step-by-step explanation:

Suppose that five graduating seniors on a college basketball team receive the following first-
year contract offers to play in the National Basketball Association (zero indicates that the
player did not receive a contract offer): 0 0 0 0 $10000000

The college claimed that the average senior on this basketball team received a $2 million contract offer.

Explain how the college came up with this number and why this statement may be misleading.

Answers

9514 1404 393

Answer:

the average of the distribution is 2 millionthe distribution is highly skewed

Step-by-step explanation:

The "average offer" is the average of the 5 offers: 4 that are 0 and 1 that is 10 million.

__

That will be misleading because the average is not very representative of the actual distribution. The actual distribution of offers is highly skewed toward lower values.

List the sides of the triangle ABC from smallest to largest using the information below. *

Answers

Answer:

AB, BC, AC

Step-by-step explanation:

(9x + 29)° + (93 - 5x)° + (10x + 2)° = 180°

9x + 29 + 93 - 5x + 10x + 2 = 180

14x + 124 = 180

14x = 56

x = 4

m∠A = (9(4) + 29)° = 65°

m∠B = [93- 5(4)]° = 73°

m∠C = (10(4) + 2)° = 42°  

m∠C < m∠A < m∠B

AB < BC < AC

One fourth of the sum of m and 2 minus the product of 7 and k

Answers

Answer:

1 / 4 ( m + 2 ) - 7k

Step-by-step explanation:

3x+2y=4,6x+3y=2 Solve the systems of equations by substitution

Answers

Answer:

x = -8/3, y = 6

Step-by-step explanation:

3x+2y=4   so x = (4-2y)/3

6x+3y=2

substiute x into the second equation

6((4-2y)/3) +3y = 2

2(4-2y) + 3y = 2

8 - 4y + 3y = 2

-y = -6

y = 6

Replace y into the first equation

3x + 2 (6) = 4

3x +12 = 4

3x = -8

x = -8/3

7. The temperature in Copenhagen is -9 °C.
Draw an arrow pointing to -9 °C on this number line.
-10
0
10
The temperature in Manchester is 3 °C.
Find the temperature difference between Manchester and Copenhagen.
Use the number line to help you.

Answers

Here is the answer, note that I made this on my laptop, and the bigger line is where -9 is

Help me pls!! thanks <3

Answers

Answer:

It is graph A

Step-by-step explanation:

Answer: A it your answer.

Step-by-step explanation:

Based on this dotplot and the sample of 25 online news readers, which conclusion can be drawn?

Answers

Answer:

It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.

Step-by-step explanation:

Answer:

There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.

Step-by-step explanation:

I just took the test, The other person is very wrong!!!

Pls help show your work thx

Answers

Answer:

7x 4.9= 34.3lbs

Step-by-step explanation:

W: IM SO SORRY IF IM WRONG!!

-Have a blessed day

Answer: 7*4.9=34.3lbs

Step-by-step explanation:

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