What is an equation of the line that passes through the point (−4,5) and is perpendicular to the line 4x+y=7

Answers

Answer 1

Answer:

[tex]y = \frac{1}{4} x + 6[/tex]

Step-by-step explanation:

rewrite the original equation

[tex]4x + y = 7 \\ y = - 4x + 7[/tex]

perpendicular line has a negative reciprocal slope. I will use this slope and substitute the points to find our y-intercept

[tex]5 = \frac{1}{4} ( - 4) + b \\ 5 = - 1 + b \\ b = 6[/tex]


Related Questions

Một ông 43 tuổi đến khám tổng quát. Phân tích nước tiểu thấy có đường niệu. Bạn vừa biết có một test T dung phát hiện bệnh tiểu đường như sau: 138 cho T+ trên 150 người bị tiểu đường và 24 cho T+ trên 150 người không bị tiểu đường. a) Tìm độ nhạy, độ chuyên, dương giả, âm giả của T b) Bằng phương pháp thử máu (T’) có độ nhạy 0.8; độ chuyên 0.96; đem áp dụng cho hai nhóm trên thì giá trị đoán trước là bao nhiêu nêu T’ dương tính. c) Với bệnh nhân này, nếu T dương tính bạn cho là có khả năng 90% bị tiểu đường còn nếu T' cũng dương tính thì khả năng bị tiểu đường là bao nhiêu

Answers

Answer:

Step-by-step explanation:

If the rate of the boat in still water is 20 mph, and the rate of the current is x mph, what is the rate of the boat going upstream

Answers

9514 1404 393

Answer:

  20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

  20 -x . . . . miles per hour

Please do 5 and 6!!!!

Answers

Answer:

5) y = 6x - 3

6) y = 2

Step-by-step explanation:

If we’re trying to write a line in slope-intercept form, we must need the slope and the y-intercept.

m = 6 and b = -3

What the question is trying to say is that 6 is the slope and -3 is the y-intercept. Thus m = slope and b = y-intercept.

And the equation of the line in slope-intercept form is y = 6x - 3

but what if the slope is 0 like in question 6? Therefore, we cancel the slope and x-intercept DOES NOT appear. so the equation of the line would be y = 2

Identify h (x) = [x] + 4

A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function

PLEASE HELP ILL MARK BRIANLIEST

Answers

answer: none of these
btw i also love tvd

Find the unknown number in the equation 4 x 12 = 6 x n.

Answers

Answer:

n = 8

Step-by-step explanation:

hope this helps

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

Answers

Answer:

2 in 16

Step-by-step explanation:

An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation

Answers

Answer:

a sign

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve for x: 7x = 4x + 27
x =

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

[tex]7x - 4x = 4x + 27 - 4x[/tex] [tex]3x = 27[/tex]

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3} =\frac{27}{3}[/tex] [tex]x = 9[/tex]

Step 3: Check if solution is correct.

[tex]7(9) = 4(9) + 27[/tex] [tex]63 = 36 + 27[/tex] [tex]63 = 63[/tex]

Therefore, x = 9.

7x = 4x +27
3x = 27
x = 9

Who ever answers first will be marked brainliest

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x≥9

Interval Notation:

[9,∞)

Step-by-step explanation:

marking people brainliest for random LOL comment if you wanna be marked brainliest

Answers

LOL thanks for the points

LOL, i really need points.

DUE TOMORROW ANSWER USING STEPS: When Tyrese fell asleep one night, the temperature was
24°F. When Tyrese awoke the next morning, the
temperature was -16°F. Letting + denote a rise in
temperature and - denote a drop in temperature, what
was the change in temperature from the time Tyrese
fell asleep until the time he awoke?

Answers

Answer:

40°F

Step-by-step explanation:

When Tyrese fell asleep one night, the temperature was 24°F.

When Tyrese awoke the next morning, the

temperature was -16°F.

Letting + denote a rise in

temperature and - denote a drop in temperature, what was the change in temperature from the time Tyrese fell asleep until the time he awoke?

The temperature dropped from a high temperature to a low one : from 24° to -16°

This can be expressed mathematically as 24 - (-16), with - denoting a drop in the temperature

=24-(-16)

=24+16

=40°F

Please mark me brainliest

Answer:

a change of -40°F, i.e., a drop.

Step-by-step explanation:

use the formula

   change = end - start

and find -16 - 24 = -40

use the distributive law to factor.
16m + 6n

Answers

Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)

GIven three integers A, B and C, according to the distributive property;

A(B+C) = AB + BC

Given the expression 16m + 6n

First, we need to get the factors of both terms

16m = 2 * 8 * m

6n = 2 * 3 * n

From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;

16m + 6n = 2(8m + 3n)

Learn more here: https://brainly.com/question/2118428

someone plz help me asap I will make you brainlist

Answers

answer: -28
7/2=3.5
3.5x-8=-28

Answer fast, please!!!

Answers

The distributive property states that any expression with three numbers A , B , and C , given in form A (B + C) then it is resolved as A × (B + C) = AB + AC

According to distributive property

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)[/tex]

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3[/tex]

Hence , Option D is the correct answer.

Determine the slope of the line 8x – 4y - 9 = 0.
О.
O2
03
04

Answers

Answer:

The slope in this equation is 2x, so answer is 2.

Step-by-step explanation:

8x-4y-9=0

-8x -8x

-4y-9 = -8x

+9 +9

-4y = -8x+9

Divide by 4 on both side to have y by itself and you get

y = 2x - 9/4

An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

8% is the sales tax rate

Step-by-step explanation:

I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.

490 * 8.75% = 42.875

Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)

490 * 8% = 39.2

Hope this was somewhat helpful

Choose the system of inequality's that matches the graph

Answers

The correct answer is option A :)

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?

Answers

Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

Using the relation ::

Zscore =(X - μ) ÷ σ

The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

The Zscore :

Zscore = (3401 - 3078) ÷ (122.049)

Zscore = 2.65

Hence,

P(Z > 2.65) = 1 - P(Z < 2.65)

Using a normal distribution table :

P(Z > 2.65) = 1 - 0.9959

P(Z > 2.65) = 0.004

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2/3 : 2/6 as a unit rate

Answers

Answer:

3/1

Step-by-step explanation:

I need the answer for this

Answers

Answer:

it is either f or h

For which of the following equations is x = -4 a solution?

Answers

you need to attach a picture or something

Alita wants only one green pepper. the price is three for $1.48 how much will one pepper cost?

Answers

Answer:

$0.493

Step-by-step explanation:

1.48 divided by 3

PLEASE HELP
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?

Answers

Answer: The rate of change of momentum of a body over time is directly proportional to the force applied and occurs in the same direction as the applied force.

We can write the law as:

Where F is a force, and P is the momentum.

Remember that the momentum is defined as the quantity of motion, such that:

P = M*V

Where M is the mass of the moving object and V is the velocity of the moving object.

Or we can write the second law as:

F = M*a

M = mass

a = acceleration

Happy To Help ;)

Step-by-step explanation:

Answer: The rate of change of momentum
of a body over time is directly proportional
to the force applied and occurs in the same
direction as the applied force.

The volume of the cube shown below is 1000 cm". What is the length side, x of the cube in centimeters?
resnanse)

Answers

Answer: x = 10

Step-by-step explanation:

The formula to find the volume of a cube is as following:

V = x³

Since we already know the volume, let's substitute it in the formula.

1000 = x³

To find x, we should do the cube root on each side.

∛1000 = ∛x³

x = 10

1/3 x 2/5 in simplest form

Answers

Answer:

2/15

Step-by-step explanation:

1/3 x 2/5

= ( 1 x 2 ) / ( 3 x 5 )

= 2/15

Answer:

2/15

Step-by-step explanation:

1/3*2/5

(1*2)/(3*5)

2/15

rational function f(x)=5-x/x^2+5x+6 f(x)=3

Answers

Answer:

jgfjfhjhjbnbvmnfnmf

Step-by-step explanation:

By which rule are these triangles congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS

Answers

Answer:

A. AAS

Step-by-step explanation:

In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.

Help with question thanks

Answers

Step-by-step explanation:

horizontal asymptote y=0

the graph is in the image above

range[-1, infinity)

domain(-infinity, infinity)

Write the Natural numbers after 10,999,11,009,11,001

Answers

Answer:

The next three natural numbers after 10999 are 11000,11001, and 11002.

Step-by-step explanation:

Write first natural number after 10999:

10999 + 1 = 11000

Write second natural number after 11000:

11000 + 1 = 11001

Write the third natural number after 11001:

11001 + 1 = 11002

Hence, the next three natural numbers after 10999 are 11000, 11001, and 11002.

what is the equivalent fraction of 6/20 with a denominator of 10

Answers

Answer:

3/10

Step-by-step explanation:

3/10, because to make the denominator 10, all you have to do is simplify the fraction 6/20. Which is 3/10
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