Write an equation of the line that passeg through (8, 1) and is perpendicular to the line 2y + 4x = 12

Answers

Answer 1

Answer:

y=1/2x-3

Step-by-step explanation:

First, let's put the line into slope intercept form

2y+4x=12

subtract 4x from both sides

2y=-4x+12

divide by 2

y=-2x+6

the slopes of perpendicular lines are negative and reciprocal. If you multiply the slopes of the lines together, the result is -1. Therefore, to find the slope of the perpendicular line, use this formula:

-2m=-1

divide by -2

m=1/2

so the slope of the perpendicular line is 1/2

here is the new line so far:

y=1/2x+b (b is a place holder)

now, since the line passes through the point (8,1), it means that (8,1) is a solution of the line. So we can substitute it into the equation

1=1/2(8)+b

1=4+b

subtract 4 from both sides

-3=b

so the line is y=1/2x-3

Hope this helps!


Related Questions

An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.

Answers

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

does anyone know what 5x - 12 < -32 is?

Answers

Answer:

5x-12<-32

5x<-32+12

5x<-20

5x/5<-20/5

x<-4

Step-by-step explanation:

1. Move constant to the right hand side of the inequality (-12)

2.Calculate the sum (-32+12)

3. Divide both sides by 5 to isolate X

4. Write your answer x<-4

Solved

:)

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
<

4
x
<
-
4
Interval Notation:
(


,

4
)

If the standard deviation of shear strength measurements for spot welds is 9.5 pounds per square inch (psi), what is the minimum number of test welds that should be sampled if we want the sample mean to be within 1.4 psi of the true mean with probability approximately 0.99

Answers

Answer: 306

Step-by-step explanation:

Formula to find sample size:

[tex]n=(\dfrac{\sigma\times z^*}{E})^2[/tex] , where [tex]\sigma[/tex] = standard deviation, E = margin of error, z* = critrical z-value.

As per given,

[tex]\sigma=9.5 , E=1.4[/tex]

Critical z-value for 99% confidence = 2.576

Now , the minimum sampl size :[tex]n=(\dfrac{9.5\times2.576}{1.4})^2[/tex]

[tex]\Rightarrow\ n=305.5504\approx306[/tex]

Hence, the required sample size = 306

A plane flying at an altitude of 4 miles is approaching an airport that is 31 miles ahead on

the pilot's line of sight. What is the angle of depression from the plane to the airport to the

nearest TENTH of a degree?

Answers

Answer:

[tex]7.4^{o}[/tex]

Step-by-step explanation:

Altitude of the plane = 4 miles

Distance from the plane to the airport = 31 miles

Let the angle of depression from the plane to the airport be represented by θ. Thus applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{4}{31}[/tex]

          = 0.1290

θ = [tex]Tan^{-1}[/tex] 0.1290

  = 7.3506

θ = [tex]7.4^{o}[/tex]

The angle of depression from the plane to the airport is [tex]7.4^{o}[/tex].

Can you answer number 7 and number 8 and explain the process please and thank you

Answers

7 is A and 8 is B

7. 20 to < 30 is straight in the middle of the chart

8. the average is all the numbers added up then divided by the amount of numbers there were. In this case it added up to 125 then I divided it by 5, which is the amount of numbers, getting 25.

HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!

Which fraction represents the solution to -6/5 divided by (-3/25) in simplest form?
A.) -10
B.) -12/125
C.) 10
D.) 18/125

Answers

Answer:

C

Step-by-step explanation:

-6/5 ÷ -3/25

~Copy Dot Flip

-6/5 * -25/3

~Multiply

150/15

~Simplify

10

Best of Luck!

Answer: Your is answer is C.

Step-by-step explanation:

WHATS THE SLOPE INTERCEPT OF THE EQUATION OF THE LINE THAT PASSES THREW (1,6) AND HAS A SLOPE OF 5

Answers

Answer:

why man

Step-by-step explanation:

Answer:

y=5x+1

Explanation:

I suggest using webmath, its very helpful!

PLEASE HELP!! i'm writing a test and i have no idea how to do this. (I'm giving 30 points)

Answers

Answer:

12/y

Step-by-step explanation:

if you see in the picture the first three numbers 3,6 and 9 you add 3 in each number like 3+3=6 then 6=3 = 9 and 9 + 3 = 12 and so on. ( 45 also comes in this pattern )

have a wonderful day

x²-11x+28 please answer​

Answers

Factor it out
A + B = -11
AB = 28, A = -4, B = -7

Solution: (x-4)(x-7)

9- 2 3/4 please hurry

Answers

Answer:

6 1/4

Step-by-step explanation:

A polygon is transformed according to the rule: (x, y)-(x + 2, y). Every point of the polygon moves two units in which direction?

Answers

Answer:

Every point of the polygon moves horizontal translation right '2' units

Step-by-step explanation:

Explanation:-

Type of transformation               Change of co-ordinate point            

Vertical transformation    

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

Vertical transformation    

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

Horizontal transformation    

left 'c' units                                            (x, y ) → ( x-c , y )      

Horizontal transformation    

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

Given that  a polygon is transformed according to the rule: (x, y)-(x + 2, y)

∴ Every point of the polygon moves horizontal translation right '2' units

El 28% de x es 98 como calculo lo que falta?

Answers

Answer:

350

Step-by-step explanation:

28% de x es 98

[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]


Help me asp please

Answers

Answer:

1) power is 8

3) power is 11

Answer:

31^8

1^11

count how many numbers there are then put ^ and the number then the number of the number at the end sorry for my bad explenation

Step-by-step explanation:

Solve the system of equations.

Answers

Answer:

x =-5 and y = -6

Step-by-step explanation:

In order to get the answer, I used the elimination/addition method

8y-9x= -3 <— I decided to eliminate the y

5y-8x= 10 <— I decided to eliminate the y

5(8y-9x = -3) <— switch up the number of y from the bottom to multiply

-8(5y-8x= 10) <— switch up the number of y from the top to multiply, but have a negative sign to it

So...our new equation will be....

40y - 45x = -15

+ -40y + 64x = -80

________________________

19x = -95

x = -5

8y-9x= -3

8y-9(-5) = -3

8y+45 = -3

- 45 = - 45

8y = -48

y = -6

Example 5:
Alexa purchased a laptop for $ 1,283 and a printer for $689. How much did she pay for the Laptop and printer
before tax?

Answers

$1283+$689 = $1972
I hope it’s right

What is 5 multiplied by 28380

Answers

Answer:

141,900

Step-by-step explanation:

I used the calculator :)

Answer:

141900

Step-by-step explanation:

Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 + . . .

Answers

Answer:

The sum of the first 6 terms of the inifinite series is -21.

Step-by-step explanation:

Following the sequence, we can see that each term is the previous term multiplied by -2. So, the first six terms are:

1, -2, 4, -8, 16, -32

The sum is:

1 - 2 + 4 - 8 + 16 - 32 = -1 - 4 - 16 = -21

The sum of the first 6 terms of the inifinite series is -21.

Answer:

-21

Step-by-step explanation:

Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 +

got it right on the test

11) In a triangle, the ratio of the measures of three angles is 2:5:8. Find the measures of

each angle in the triangle. Show proportions.

Answers

Answer:

Sum of interior angles of a triangle always = 180 degrees

add the individual ratios to get a sum composite ratio:

2+5+8 = 15

180 / 15 = 12

Multiply individual ratios:

{2:5:8} * 12 = 24:60:96

Check:

24 + 60 + 96 = 180

Step-by-step explanation:

I hope it's help

Determine whether each statement about the solid is TRUE or FALSE.
1)?
2)?
3)?
4)?

Answers

Answer:

1.False(It is a cube)

2.True(Cubes have 6 faces)

3.False(Its base is a square)

4.False(It has 12 edges)

Step-by-step explanation:

Which equation represents the polar form of x2 + (y – 6)2 = 36?
r = 6cos(θ)
r = 12cos(θ)
r = 6sin(θ)
r = 12sin(θ)

Answers

Answer:

D. r = 12sin(θ)

Step-by-step explanation:

Trust the process:)

Answer:

D

Step-by-step explanation:

just took

A 10 metre ladder is leaning against the side of a building. If the bottom of the ladder is 3 metres
from the bottom of the building, find the angle of elevation the ladder makes with the building.

Answers

Answer:

10.4

Step-by-step explanation:

Trust me Sorry if wrong

The solution to 4p+2<2(p+5) is

Answers

Answer:

p<4

Step-by-step explanation:

4p+2< 2(p+5)

Distribute: 4p+2<2p+10

Subtract 2 from both sides: 4p<2p+8

Subtract 2p from both sides: 2p<8

Divide and we get: p<4

Answer:

p<4

Step-by-step explanation:

subtract 2 from both sides

subtract 2p from both

dont get them confused

divide

HAHAHAHAHAHAHAHAHAHA​

Answers

Answer:

add my robl  ox cupcakeboss40

Step-by-step explanation:

Buddy and his Step-brother Michael are in a snowball fight! They get hit by 85% of the snowballs.


If there were 200 snowballs thrown, how many were they hit by?

Answers

Answer: 170

Step-by-step explanation:

Since they get hit by 85% of the snowballs and there were 200 snowballs thrown, the number of snowballs that hit them will be gotten by multiplying 85% by 200. This will be:

= 85% × 200

= 0.85 × 200

= 170

Therefore, 170 snowballs hit them

person is scheduled to get arise of dollar 50 every 6 month in her 6 year on the job if starting salary os 1600 per month what is her annual salary at the end of 3rd year​

Answers

Answer:

1900 dollars

Step-by-step explanation:

Find the difference.
(3ab+9a-2) - (-5ab+4)

Answers

Answer:

3ab+9a-2+5ab-4

8ab+9a-6

I don't know how to do this. Can someone help me.

Answers

Break up the x-2 and use distributive property to multiply.

X(x3 +7x2 +2x -40) -2 (x3 +7x2 +2x -40)

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $12,110?

Answers

Answer:

17

Step-by-step explanation:

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. It takes 17 year for the value of the account to reach $12,110.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. for the value of the account to reach $12,110 we need to find the time it takes.

The principal amount = $7,200

Rate = 3.1%

Compound Interest = [tex]P(1+r/n)^{rt}[/tex]

                      12,110  =  [tex]7200(1+3.1/12)^{3.1t}[/tex]

                            t = 17

Thus, for the value of the account to reach $12,110 the time taken is 17.

Learn more about Compound Interest;

https://brainly.com/question/14295570

#SPJ2

Which is true of a population in a statistical survey? Check all that apply.
A population can only be a group of people.
O Apopulation can be a group of objects or events.
O Apopulation can only be a particular event.
O Apopulation must be the target of the survey question.
O Apopulation must be very small.

Answers

Answer:

A population can be a group of objects or events.

A population must be the target of the survey question.

Step-by-step explanation:

I had the same question.

Estimate the average rate of change from x = 3 to x = 7.

Answers

Answer:

Average rate of change = 1.333 or 133.33%

Step-by-step explanation:

Given:

Base x = 3

New x = 7

Find:

Average rate of change

Computation:

Average rate of change = [new - base]/base

Average rate of change = [7 - 3] / 3

Average rate of change = 1.333 or 133.33%

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