Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).

Answers

Answer 1

Given:

The given equation is:

[tex]y=-4x+3[/tex]

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=-4x+3[/tex]

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

[tex]m\times (-4)=-1[/tex]

[tex]m=\dfrac{-1}{-4}[/tex]

[tex]m=\dfrac{1}{4}[/tex]

The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:

[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]

[tex]y=\dfrac{1}{4}x-1-1[/tex]

[tex]y=\dfrac{1}{4}x-2[/tex]

Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].


Related Questions

Find the missing side lengths. Leave your answers as radicals in simplest form. *

Answers

That's the isosceles right triangle, one of the two cliche triangles students are expected to learn.  The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.

So v= 3√2  (the two legs are equal) and hypotenuse u = √2 × v = 6.

Answer: C

5. The property depicted in the expression 2/( 3) ×(1/3+ 4/5)=(2/3 × 1/3)+(2/3 × 4/5) is *
associative property of addition
associative property of multiplication
distributive property of multiplication
closure property of multiplication

Answers

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

If a randomly thrown dart hits the board below, what is the probability it will hit the shaded region?​

Answers

4 shaded areas are shaded in, 8 areas in total. 4/8, that’s 50% of the dart hitting the shaded areas. I say it’s likely

Work out the base of a square with area,
A
= 64cm2.

Answers

Answer:

32

Step-by-step explanation:

because 64 divided by 2 is 32

yes need help again im on my math exam review thing i.dk wut it tis also here are some extra points im feelin nice today btw dont jus answer for the points or put a site or ill report.


ᴍɪʟʟʏ~

Answers

Answer:

(-5) + 8 + (-5) = -2

Step-by-step explanation:

The first point is 5 points to the left of 0, or -5

Next, it goes right 8 units (+8) and lands on 3

THen it goes back 5 units (-5) and lands on -2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

if the sub total is 5.00 and tax is 5% how much is tax

Answers

Answer:

$0.25

Step-by-step explanation:

So total of 5.25 after tax Sorry if i am wrong am pretty sure this is correct.

What’s the answer. Please help.

Answers

3x - 2 = 18

I think so because I usually take that as my equation

Answer:

The answer would be the third one, 3(x -2)=18

570
1. Volume of a pyramid: 192 ftº: Volume of a rectangular prism:
2. Volume of a pyramid:
Volume of a rectangular prism: 729m
3. Volume of a cylinder: 285 cm: Volume of a cone:
4. Volume of a sphere:
Volume of a cylinder: 600cm
5. Volume of a cone: 50 m: Volume of a cylinder:

Answers

Answer:

576 FT^3

243 m^3

95 cm^3

400 cm^3

150 m^3

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length base x height)

Volume of a prism= ( length base x height)

1. prism = 192 x 3 = 576 FT^3

2. prism = 729 / 3 = 243 ft^3

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

3. cone = 285/3 = 95

5. cylinder = 50 x 3 = 150

4. sphere = 600 / 1.5 = 400

Evaluate expression- Which of these answer choices are correct answer to the question

Answers

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

pls mark as brainliest

A remote-control airplane is descending at a rate of
23.6 meters per second. What will be its change in
height after 3 1/2 seconds? Round your answer to the
nearest meter.

Answers

Answer:

83 m

Step-by-step explanation:

23.6 x 3.5 = 82.6 ≈ 83 m

Please help me with this question??m

Answers

Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

f(3) = 3*f(2) + 3      We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

Simplify
7p2 x 3p
14p4

Answers

Answer:

294(p)^7

Step-by-step explanation:

7(p)^2 x 3p x 14(p)^4

=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4

=> 21 x 14 x (p)^(2+1+4)

=> 294(p)^7

Consider the equation and its solution.
— 15(x-O) = 25
— 15х+ 30 = 25
— 15х = -5
What number should be in the empty box?
-30
-2
Оооо
30

Answers

The correct answer to your question is -2

Given m || n, find the value of x and y

Answers

Step-by-step explanation:

5x-6+7x+18=180

12x=180+6-18

12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

The amounts that two plumbers charge for their services are described.

The first plumber charges a fixed fee of $40 for house calls and $15 per hour of work.
The second plumber charges a fixed fee of $30 for house calls and $19 per hour of work.
For what number of hours work do the first plumber and the second plumber charge the same total amount?

Answers

Answer:

See below.

Step-by-step explanation:

40 + 15x = 30 + 19x

15x - 19x = 30 - 40

-4x = -10

x = 2.5

Two and a half hours.

The first plumber and the second plumber charge the same total amount for 2.5 hours of work.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The number of hours worked by both plumbers is "h". Then the total amount charged by the first plumber is:

Total cost for the first plumber = 40 + 15h

And, the total amount charged by the second plumber is:

Total cost for the second plumber = 30 + 19h

To find the number of hours for which both plumbers charge the same total amount, we need to solve the equation:

40 + 15h = 30 + 19h

4h = 10

h = 2.5

Therefore, the first plumber and the second plumber charge the same total amount for 2.5 hours of work.

To learn more on Equation:

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State if triangles HAG and CAB are similar and why.

Answers

i think the answer is they are similar by SSS, but they are definitely similar

Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles

Please Help I've tried like 30 times and I still get it wrong

Answers

Answer:

604.4 cm²

Step-by-step explanation:

Surface area of a cone = πr(r + √h² + r²)

π = 3.14

r = diameter/2 = 13.4 cm/2 = 6.7 cm

h = 21 cm

Surface area of a cone = πr(r + √h² + r²)

= 3.14 * 6.7(6.7 + √21² + 6.7²)

= 21.038(6.7 + √441 + 44.89)

= 21.038(6.7 + √485.89)

= 21.038(6.7 + 22.04)

= 21.028(28.74)

= 604.3 cm²

Surface area of a cone = 604.4 cm²

PLEASE HELP!! Look at photo

Answers

Answer:

Step-by-step explanation:

The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.

in a group of 120 students,90 students study mathematics and 72 study science. if 10 of the student does not study any subject
1)find the no.of students who study atleast 1 subject
2)number of students studying both subjects
3)how many students will study mathematics only?
4)how many students will study science only?

Answers

Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

                     = 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

What is the length of line
segment AB?

Answers

(2) step by step below


HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

i beleive its option number 1

Answer:

first graph

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units

This is represented by the first graph on the left

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?

Answers

Step-by-step explanation:

using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4

Answer:

Step-by-step explanation:

(x1,y1)= (-5,-4)

(x2,y2)=(-1,6)

Distance=√(x2-x1)²+(y2-y1)²

=(-1-5)²+(6-4)²

=(-6)²+(10)²

=36+100

=136 answer,,

therefore, the slope of the line is 136unit

please help. its for an assignment that is due today.

Answers

Area of isosceles triangle is 7.8235

Height = base/2 x tan 41 = 2.61

Base length = 2 x ( side length of triangle) x cos 41

6= 2 x ( side length of triangle, assume it b ) x 0.754

6= 1.509 x b

b = 6/ 1.509

b= 3.975

Area = 1/2 b x h

= 1/2 x b^2 Sin square theta

= 7.8235


Please help me please I will really appreciate

Answers

Answer:

Step-by-step explanation:

If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:

180 - 114 = 66

Divide that in half so R = S = 33 degrees each

Pls someone help me with this im struggling!

Answers

Answer:

£460.80

Step-by-step explanation:

Do 12% x 4 years= 48%

Then 48% x 960= £460.80

Which inequality represents “six times a number is less than negative
6x >-39
4
6 + x>-39
6x < -39
4
6x5-393
4

Answers

Answer:

6x < - 39 3/4

Step-by-step explanation:

Find the domain of the graphed function. A.x>=0 B. x is all real numbers. C.-9<=x<=5 D.0<=x<=10

Answers

The domain of the function represented by the graph is x ≥ 0

How to determine the domain of the graph?

The function is represented by the graph of the function

From the given graph, we have the following observations

The graph is a trigonometric graphThe x values of the graph starts from 0 and increases towards the positive axis

This means that the function has a domain of all set of real values greater than or equal to 0

This is represented as

x ≥ 0

So, the domain is x ≥ 0

Read more about domain at

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Dada a função fx=0,15.X+900 , determine a) f(80) b) f(120) c) f(200) d) f(56)

Answers

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

What is the volume of the prism?

Answers

Answer:

[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]

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