find the equation of the line that is perpendicular to y=1/2x -4 and contains the point (4, 5)

Answers

Answer 1

Answer:

the equaion of the new line is y = -2x + 13

Step-by-step explanation:

The slope of this line is 1/2.  Recall that if we are given such a slope and want the slope of a line perpendicular to the given line, we find the negative reciprocal of the slope of the given line.  Here, given m = 1/2, the slope of any line perpendicular to the given line is m = -2.

Now insert this info into the standard slope-intercept equation of a line:

y = mx + b becomes 5 = (-2)(4) + b.  Solve this for b:

5 + 8 = b = 13.

Thus, the equaion of the new line is y = -2x + 13.


Related Questions

How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?

Answers

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

(4×10)+(7×1/10) in fractions​

Answers

Answer:

I think it's 308

...........

Caleb rode his bike for

3
1
2
miles in the morning. Then he rode his bike another

2
1
2
miles in the afternoon.

Answers

Answer:

6 miles

Step-by-step explanation:

3+1/2+2+1/2=6miles

A sample of bacteria is growing at an hourly rate of 15% according to the continuous exponential growth function. The sample began with 14 bacteria.

How many bacteria will be in the sample after 25 hours? Round your answer down to the nearest whole number.

Answers

Answer:

mabye 45

Step-by-step explanation:

the bacteria increases 2 per hour so it should be 45

sorry if I am wrong it is just the answer I calculated

how do you divide 2.6 by 2.952

Answers

Answer:

how do you divide 2.6 by 2.952

Step-by-step explanation:

Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is
$62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total
amount paid in the first 12 months?
O 62/ 1-0.0412
1 -0.04
1 -1.0412
O 62
1 -0.04
1 - 1.0412
62
1 - 1.04
1 - 1.040.04
62
0 (
1-12

Answers

Answer:

64.48 (I am 45% sure) The number are mixed and hard to understanding.  

Step-by-step explanation:

The linear equation of the total amount paid in the first 12 months will be y = 64.48x - 2.48.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Modern Electronics offers a one-year monthly installment plan for a big-screen TV.

The payment for the first month is $62, and then it increases by 4% each month for the rest of the year.

Then the payment after a month will be

Monthly payment = 1.04 × 62

Monthly payment = $64.48

Then the linear equation of  the total amount paid in the first 12 months will be

y = 64.48(x - 1) + 62

Where y is the cost and x is the number of months.

The equation can be written as

y = 64.48x - 2.48

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

HELP NOW ILL GIVE BRAINLIEST

Answers

Answer:

5x + 2y = - 26

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , m

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

( - 8 , 7 ) , m = - [tex]\frac{5}{2}[/tex]

y - 7 = - [tex]\frac{5}{2}[/tex] ( x - ( - 8 ) )

y + [tex]\frac{5}{2}[/tex] x = 7 - 20

5x + 2y = - 26

y=-3x^2+239x-2268
y=−3x
2
+239x−2268

Answers

Answer:

x=$39.83 (best price)

Step-by-step explanation:

HELP ME OUT PLEASE I NEED A ANSWER ASAP!!!

What is the slope of line segment AB?

A) 2/3

B) 3/4

C) 4/3

D) -3/4​

Answers

That answer is d -3/4

PLEASE HELP
I WILL MARK BRAINLIEST

Answers

I think it's f(x)=x+22, try that out

In a class 15 students like Maths. 20 students like English and 10 students like science. 5 students like all three subjects. If there are 50 students in the class, how many students like none of the three subjects?​

Answers

Answer:

Everyone likes a subject so 0 students like none.

15+10+20+5=50

0 because 50-20-15-10-5 =0 all student like at least one of these subjects

Another Khan acd question

Answers

Plug in x = 30 and y = 15. Solve for r.

15 = r(30) (divide by 30)

R = 1/2 or 0.5.

maths 5x² - x(x + 4)​

Answers

5x^2-x(x+4)
5x^2-x^2-4x
4x^2-4x is your answer

what is the LCD of 1/10 and 1/12

Answers

Answer:

60

Step-by-step explanation:

You need to find a denominator where both numbers are able to be divisible. 60 is lowest number as the new fractions would be 6/60 and 5/60

Joy has some pairs of shoes six pairs of them are sneakers what expression shows how many pairs of shoes joy has that are not sneakers

Answers

To find the number of shoes that are not sneakers, 1. Take the total amount of sneakers, 2. Subtract the amount of sneakers Joy does have. So basically the equation is: NONsneaker shoes = TOTAL shoes - sneakers. To make an actual equation, put the number 6 in the equation to represent the number of sneakers. Then use two DIFFERENT coefficients, one to represent nonsneaker shoes, and the other to represent total shoes. One example of what this equation can look like is… n = 6 - s

0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???

Answers

Answer:

2/45

Step-by-step explanation:

0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: [tex](\frac{1}{10} )(\frac{4}{9} )[/tex]. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.

Solve the inequality, write the answer in interval notation.

Answers

9514 1404 393

Answer:

  (-∞, 2-√7) ∪ (2+√7, ∞)

Step-by-step explanation:

The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.

Your inequality can be written in standard form as ...

  x² -4x -3 > 0

  x² -4x +4 -7 > 0

  (x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7

The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...

  (-∞, 2-√7) ∪ (2+√7, ∞)

_____

Additional comment

We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).

Do you do anything with excel?

Answers

like when you breathe out when you stop in stops breathing

find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively​

Answers

Answer:

a₈ = 768 , a₁₀ = 3072

Step-by-step explanation:

The nth term of a GP is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 2 , then

a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768

a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072

Need help with the second part ASAP.

Answers

9514 1404 393

Answer:

  1/x = (1+√5)/2 ≈ 1.618034

Step-by-step explanation:

Since you are only interested in the second part, we presume you have solved the quadratic equation to find ...

  x = (√5 -1)/2 ≈ 0.618034

The second part asks for 1/x. The usual method for rationalizing the denominator will be useful for this. Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{1}{x}=1\div\dfrac{\sqrt{5}-1}{2}=1\times\dfrac{2}{\sqrt{5}-1}\\\\=\dfrac{2(\sqrt{5}+1)}{(\sqrt{5}-1)(\sqrt{5}+1)}=\dfrac{2\sqrt{5}+2}{5-1}=\boxed{\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]

_____

Additional comment

You may notice that 1/x = x+1.

PLEASE HELP!
Charlie ate ¾ cup dry food for breakfast and another ½ cup for dinner. If the food
has a caloric density of 360kcal/cup, how many kcal did Charlie eat in total? Please show work!

Answers

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\[/tex]

we can simplify the fraction to this:

[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\[/tex]

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

How can you compare decimals such as 0.21, 1.32, 2.1, and 0.021? ​

Answers

Answer:

line up the decimal points first and then compare values, starting with the ones places, then compare the tenths place, then the hundredths, etc.

0.210 - this is 21/100

1.320 - this is 1 32/100

2.100 - this is 2 1/10

0.021 - this is 21/1000

Step-by-step explanation:

smallest is 0.021

0.210

1.32

largest is 2.1

You deposited $2,500 in a savings account
that yields 5% simple interest. You keep your
money in the account for 10 years. How much
interest will you earn?

Answers

我知道答案 但是如果你懂中文,我不知道怎么去掉这个语言回复

what is the slope and y intercept of −5x = 8−y

Answers

Answer:

im pretty sure its -5

Step-by-step explanation:

The slope-intercept form is  y = m x + b

where  m

is the slope and  b

is the y-intercept.

y = m x + b

Using the slope-intercept form, the slope is  

− 5 . m = − 5                                                                                                                        i think im right but if this helpful  your welcome uwu                    

Answer:

Slope is 5 and y-intercept is 8

Step-by-step explanation:

-5x = 8 - y                   Solve for y

-5x - 8 = -y                

  5x + 8 =  y                 multiply by -1

  So y = 5x + 8

   Using y = mx + b      "m"     is the slope 5     "b" is the y-intercept

Trong tháng 05, tại cơ sở sản xuất có tài liệu sau. Tính thuế TTĐB mà cs phải nộp trong tháng. 1. Mua 5.000 lít rượu nguyên chất, với giá mua chưa thuế tiêu thụ đặc biệt 20.000đ/lít, thuế suất thuế TTĐB 65% 2. Trong tháng cơ sở sử dụng toàn bộ NL trên và sản xuất 15.000 chai rượu thuốc và đã tiêu thụ hết, với giá bán chưa thuế GTGT 120.000đ/chai, thuế suất TTĐB rượu thuốc 65%.

Answers

Answer:

what's this

Step-by-step explanation:

I cannot anderstand

If 3 is the input for this function machine, what is the output?
x² + 2x +1

Answers

=5 i think i have to extend this so yeah

What sales tax, at a rate of 6 1/2%, much you pay on the purchase of a computer hard disk drive costing $258.75?

Answers

Answer:

275.57

Step-by-step explanation:

258.75 ×6.5=16.817

275.57 +26.82 =275.57

Cecilia set a goal to raise $4,800.00 for her favorite charity this year. She has decided to participate in a walk-a-thon to help her reach her goal. She found 30 sponsors and each sponsor has agreed to give her $0.50 for each mile that she walks in the walk-a-thon. If she walks a total of 25 miles, how much money will she still need to raise in order to reach her goal for this year?
A.
$4,675.00
B.
$5,175.00
C.
$4,762.50
D.
$4,425.00

Answers

Answer:

4,425$

Step-by-step explanation:

find the amount of Money raised

buy multiplying the amount raised per mile by each sponsor with the number of sponsor and the number of miles walked

[tex](30 \times 0.50) \times 25 = 375[/tex]

to find the remaining, subtract the raised amount from the intended amount.

[tex]4800 - 375 = 4425[/tex]

What is the ratio of consonants to syllables?

PTERODACTYL​

Answers

Answer:

Step-by-step explanation:

Pterodactyl has  8 consonants and 4 syllables.  So the ratio is 8 to 4, or 2 to 1, if reduced.

Please mark as brainliest if this helped you, and let me know if you have any questions.  :)

help

struggling here :)))

Answers

Answer:25

Step-by-step explanation:

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