Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

Answers

Answer 1

Answer:

The equation of the perpendicular line is 2x-4y -12=0

Step-by-step explanation:

Explanation

Given that the equation of the line is 4x+2y-12=0

The equation of the perpendicular line b x -ay +k=0

The equation of the perpendicular line  2x -4y +k=0

This line passes through the point (8,1)

                           2(8)-4(1)+k=0

                      ⇒ 16 -4+k=0

                    ⇒   12 +k=0

                           k =-12

The equation of the perpendicular line is 2x-4y -12=0


Related Questions

3x + y= 8
X-3y = 11 X 3
Simultaneous equation

Answers

3x+y=8
x-3y=33
Times the bottom equation by 3 so you get the same coefficient of x
3x+y=8
3x-9y=99
Subtract the bottom equation by the top to find y
y- -9y is y+9
10y=-91
So y is -91/10
Now substitute y into an equation so
3x-91/10=8
-91/10 is -9.1
3x-9.1=8
Plus 9.1 to each side
3x=17.1
x=5.7 or 57/10

Use order of operations to simplify 6 squared - (5 -4) + 2( 8 - 2 squared) divided by 8

Answers

I think the answer is 36. .

how do I decease 7 by 3%​

Answers

Answer:

6.79

Step-by-step explanation:

First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.

7 x 0.03 = 0.21

Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.

7 - 0.21 = 6.79

Answer:

Percentage decrease = 7 × 3%

7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%

Camila drew a triangle with a side that is 24
inches long and a side that is 18 inches long.
Which of the following could be the length of the
third side of the triangle that Camila drew? Select
THREE that apply.
42 inches
40 inches
18 inches
7 inches
6 inches
5 inches

Answers

Answer:

Step-by-step explanation:

It’s going to be 42 inches and 40 inches because we are simplifying

The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

given that,

Camila drew a triangle with a side that is 24 inches long

and a side that is 18 inches long.

we know, that,

sum of length of two sides > third side,

so, the possible lengths are,

40 inches , 7 inches , 18 inches

Hence, The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

To learn more on triangle click:

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pleaseee help find for b

Answers

Answer:

[tex] \frac{8}{7} = \frac{b}{b - 10} \\ 7b = 8b - 80 \\ - b = - 80 \\ b = 80[/tex]

Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)

Answers

Answer:

C

Step-by-step explanation:

3(5x + 1) | Given

15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.

C.) 3(5x+1)

Explanation: you use the foil method to distribute the 3.

how many different ways could first, second, and third place finishers occur in a race with six runners competing?

Answers

Answer:

720

Step-by-step explanation:

This is a permutation since the order at which the people are picked matter due to the fact that it is a race. Using the permutation formula

P= n!/ (n-r)! you can find the different ways the race would end. n stands for the total number of objects in the set while r stands for the number of objects chosen from said set. Then you plug in the numbers in the formula: P= 10!/(10-3)!= 720

720 hope it help :)





Answer this, please! Anybody

Answers

Answer:

1/4 and 1/8 which shold multiply

Step-by-step explanation:

Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds):
7, 14, 6, 11, 13, 5
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.

Answers

Answer:

the median is 9,the mean is 9.3

Step-by-step explanation:

17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640

Answers

Answer:

be smarter

Step-by-step explanation:

6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?

Answers

105 divided by 6 = 17.5
105 pt per 1 game. in 6 games they scored 630 points. 105 x 6

A librarian was packing some books.

She discarded 22 books with torn pages.

She then packed the rest equally into 9 shelves.

There were 11 books on each shelf.

Answers

Answer:

99 books in total...

Step-by-step explanation:

99 books is the correct answer!

20.) Using the cross multiplication method, which of the following is the solution to 18/6x = 4/(x+3)?


a)9


b)-9


c)12


d)-12

Answers

Answer:

B. 9

Step-by-step explanation:

a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold. The Store manager wants to know how many frames are in each box

Answers

Answer:

6

Step-by-step explanation:

45/8=5.62

round it to 6

There are 6 frames in each box.

What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold.

Assume that the number of frames in each box are [x]. Then, we can write -

8x = 45 + 3

8x = 48

x = 6

Therefore, there are 6 frames in each box.

To solve more questions on functions, expressions and equation modelling, visit the link below -

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20 is 80% of what number?

Answers

It’s 25. Hope this helps ✌️

Answer:

25 is answer.

80% of x=20

x=20×100/80=25

y2-4y+4/(2-6y) x (2y+4)/(3y2-12)​

Answers

Answer:

what is the question? please ask a question.

Alexander read 12 books in 3 months what was her rate of reading and months per book ​

Answers

Answer: 4 books every month

4:1

Please help with this

Answers

9514 1404 393

Answer:

  153 square units

Step-by-step explanation:

The figure is drawn in the attachment with some lengths and points labeled.

The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.

That area is ...

  A = area(ABFE) +area(FGH) -area(BCD)

  = (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)

  = 135 +27 -9 = 153 . . . square units

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467 they're both right.​

Answers

Answer:

Both are right

Step-by-step explanation:

As maya say 4 hundreds in 5,467

this is right because the place value of 4 in 5467 is 4 hundreds = 400.

but Jenny says 54 hundreds in 5,467

this also correct because number 5467 in word is five thousand four hundred and sixty seven

54 hundreds = 54 × 100 = 5400

as here place value of 5 is 5000 and place value of 4 is 400

so, Addition of both gives = 5000 + 400 = 5400

If we divide 5400 by 100, we would have 54

It shows that there are 54 hundreds

so, Both are right

A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =

Answers

There should be 10 blue marbles in the jar because 2+1-13=10

P=10

Hope this helps :)

A bond has a $1,000 par value, nine years to maturity, and pays a coupon of 5.25% per year, semiannually. The bond is callable in three years at 115% of its par value. If the bond’s yield to maturity is 5.32% per year, what is its yield to call?
Please show work. Or explain how to get answer through the calculator.


A) 9.08%


B) 9.24%


C) 9.86%


D) 9.62%


E) 8.96%

Answers

Answer:

C) 9.86%

Step-by-step explanation:

Given that:

Par value of the bond = $1000

Coupon rate = 5.25%

Years of maturity = 9

years to call = 3

price to call = 115% *  1000 = 1150

YTM of the bond = 0.0532

Using Excel formula:

The current price of the bond = P-V(0.0532/2, 9*2, 0.0525*1000/2, 1000)

= $995.04

The yield to call = 2 * RATE( 3*2, 0.0525*1000/2, 995.04, 1150)

The yield to calll = 9.86%

A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer: ​

Answers

ASCENDING ORDER

76,41,36,25,-2,-25

Answer:

1234567891011121314151617181920



12. A number has an absolute value
of 8. List all of the possible numbers
that have an absolute value of 8
Explain how you know. (Module 3)

Answers

Answer:

8 and -8

Step-by-step explanation:

cause thats how math work

what is one quality of rotation

Answers

Answer:

Quality rotation is the act of a joint moving through a range of motion in a way that is efficient, controlled and repeatable.

Answer:

The degree, for example, if you move a little It will make it 90 degree or other.Step-by-step explanation:

Z = 2x - y
maximum
minimum
AY
(7,9)
(2,6
S
(2, 2)
(10.1)

Answers

My dog is licking my toes ಥ_ಥ

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?


PLZ answer fast its an emergancy

Answers

Answer:

5/11*5/11=25/121

Step-by-step explanation:

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of the 5 will they eat? Write and solve an equation that will help you figure out how much of the remaining pizzas will be eaten. Explain the steps you took to solve the problem.​

Answers

Answer:

4 1/4

Step-by-step explanation:

Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17

17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten

Answer: 4 1/4

Step-by-step explanation:

evan walk 14 miles in 7 hours what was his walking rate in hours per mile ​

Answers

Please report this. I answered wrong the first time and I am not sure how to help sorry. I would just delete my answer but I can't. I am so so sorry.

Speed = distance/time
14miles/7hours =2mph
0.5hours per mile

17-(8 to the power of 3 - 45) times 7 times 2 - 1324

Answers

Answer:

-7845

Step-by-step explanation:

17-(8 to the power of 3-45) times 7 times 2 -1324=-7845

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