"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!

Answers

Answer 1

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.


Related Questions

question below :) i suck at math

Answers

Step-by-step explanation:

You plug g(3) into the equation like this

g(3) = -x - 2

A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 a
metric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn that
makes the costs equal.

Answers

jnncjdjjcndncj hdjdjjdjcnekmsmxmenbrjfkekwkdkkrrmfmf

abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag

Answers

Answer:

$1.6

Step-by-step explanation:

do 10-2 then you do 8 dived by 5

Answer:

The cost of each bag is $1.6 according to my calculations.

Step-by-step explanation:

A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.

Answers

Answer:

attached below

Step-by-step explanation:

A dyadic angle is the sum of two principal dyadic angles

lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians

attached below is the proof that sum and average of two dyadic angles is a dyadic angle

how do u solve this​

Answers

isolate the absolute value equation -

add 9 to other side to get 16

divide 16 by 4 to get 4

then you get l-3b + 5l is less than 4

now subtract 5 from both sides

then divide by -3 (which flips the sign)

answer: b is greater than 1/3

Please help meeeeeeee

Answers

I agree with the person who answered above

25 points
Write an equation in slope intercept form
(-3,0) (2,1)

Answers

Answer:

y = 1/5x + 3/5

Step-by-step explanation:

hey ok i need help on this question ive been stuck on it for a couple minutes haha

Answers

Answer:

The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

       s               :          q             :        8

→ By using cross multiplication

s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

s = 4

The length of s is 4

q × 2 = [tex]\sqrt{3}[/tex] × 8

∴ 2q = 8[tex]\sqrt{3}[/tex]

→ Divide both sides by 2

q = 4[tex]\sqrt{3}[/tex]

The length of q is 4[tex]\sqrt{3}[/tex]

The next section (This is the last five, don't worry xd)
7th grade math
I will give brainliest!
2 = a/6
find the value of a

Answers

Answer:

a = 12

Step-by-step explanation:

Given

2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

12 = a

Answer:

a = 12

Step-by-step explanation:

We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!

If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16

Answers

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

Bdbdjekdmfmfmfkfmf help

Answers

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.

Answers

Answer: A

Step-by-step explanation: e2020

Answer:

one

Step-by-step explanation:

please help me please please nice brainly people pls

Answers

Answer:

I think your answer is B= 12.

Step-by-step explanation:

Its x times 1 .33333 = y

brainliest?

B=12 its x time 1.33333 = y

What is the weight of 2 apples? *
.12
.24
16.67
8.33

Answers

Answer:

0.24

Step-by-step explanation:

Have a wonderful day <3

What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)

Answers

Answer:

=  

2/5x +2

Step-by-step explanation:

let me know if im wrong

hope it helps :)

Answer:

A. y=2/5x +2

step-by-step explanation:

hope this helped :-)

EASY QUESTION HELP AND HURRRYYYYY!!!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

D, s=v

Step-by-step explanation:

although its scaled, the angles are equal to each other. pls brainliest im new and never got brainliest before thx appreciate it

Please help
29.25 + (−47.5)

Answers

Answer:   -18.25 is your answer.

because there is one negative sign so you know your answer negative. So  29.25 + -47.6 = -18.25

Step-by-step explanation:

A. What is the area of square ABCD?

B. What is the area of square EFGH?

C. What is the area of the unshaded region of ABCD.

NEED HELP!!!!
Not very good with these kinds of problems

Answers

I got you. Answered on a picture

A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance?

Answers

Answer:

$5.56

Step-by-step explanation:

On may 2, charge = $100

On may 20, charge = $200

To get the average daily balance, we will use the concept of calculating slope;

let d be day of the month and c be the amount charged

when d1 = 2, c1 = 100

when d2 = 20, c2 = 200

average daily balance = c2-c1/d2-d1

average daily balance = 200-100/20-2

average daily balance = 100/18

average daily balance ≈ 5.56

Hence your average daily balance is approximately $5.56

I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!! ​

Answers

Answer:

i would go with option 2, just depending on how many pounds u get for $6.58 though.

A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.

Answers

Answer:

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Step-by-step explanation:

Given that:

Mean lifetime (m) = 1200

Sample size (n) = 25

Sample mean (x) = 1180

Standard deviation (s) = 80

α = 0.05

The null hypothesis :

H0 : m = 1200

Alternative hypothesis : m ≠1200

The t statistic :

(x - m) / (s/√n)

(1180 - 1200) / (80 / √25)

-20 / (80/5)

= - 1.250

P value = 0.10565 ( p value calculator)

Reject Null hypothesis if p > α

At α = 0.05

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Find the remaining zeros of f using the given information about the polynomial.

Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}

Answers

Answer:

noloce necesito puntos

How many units are there

Answers

Answer:

There are 9 units

Step-by-step explanation:

Write the first four terms of sequence Rule:start at 28.6, subtract 3.1

Answers

28.6, 25.5, 22.4, 19.3... hope this helps!!

A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace

Answers

Answer:

The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where

l is its length w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]

∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft

The brace is [tex]2\sqrt{41}[/tex] 12.806 ft long

In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?

Answers

Answer:

$9.5 million

Step-by-step explanation:

Profits = $6.6 million

Each year increase = 13% = 0.13

2007 - 2010 = 3 years

Profits = 6.6(1 + .13)^3

= 6.6(1.13)^3

= 6.6 × 1.442896

= $9.5231202 million

Approximately $9.5 million to the tenths of a million dollars

if two equations are the same at two different points, what can be said about the two equations?

Answers

Answer:

They are parallel

Step-by-step explanation:

They will have the same slope but never intersect

Answer the question in the picture. Thanks!

Answers

Answer:

4+3x=9

Step-by-step explanation:

All of the other choices equal to 4x+12=9 except 4+3x.

if f(x)=3x-1 find f(2)

pls show steps I rlly need to understand this!

Answers

f(2)=3(2)-1
f(2)=6-1
f(2)=5

What is the slope of this line?

A: - 1/3

B: - 2/3

C: 2/3

D: 1/3

Answers

Answer:

The answer is C. 2/3

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

equation for slope: y2 - y1 / x2 - x1

Pick any two exact points from the line. I will use (0, -3) and (3, -1)

The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation

-3 - (-1) / 0 - 3

= -3 +1 / 0 - 3

-2/-3

Negatives cancel so it becomes positive

So the slope is 2/3

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