5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7

Answers

Answer 1

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓


Related Questions

Solve the following system.
5x - 5y + 8z = 6
x + 2y + z = 12
3y - z = 10

Answers

The answer is (2,4,2)

A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60​

Answers

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

2 (x - 3) + x(x + 1)

Answers

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Is this a function or not

Answers

Answer:

it is a function

Step-by-step explanation:

Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added

Answers

Answer:$35 for each dress

Step-by-step explanation:

150-45=105

105/3=35

$35 each dress

Write the equation of the line fully simplified slope-intercept form. ​

Answers

y=-2/3x-5
i think is the answer

Adriana can read 6 pages in 10 minutes. At this rate, how many pages can
she read in 25 minutes *
Your answer

Answers

Answer:

23 pages.

Step-by-step explanation:

10=6 10+10=20 half of 6=3 20+3=23

answer: Adriana can read 16 pages in 25 minutes

Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.

Answers

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

please help me ASAP ε=ε=ᕕ(°□°)ᕗ​

Answers

Step-by-step explanation:

24cm³ = 0.024dm³

Moles of CO2 = 0.024dm³ / (24dm³/mol) = 0.001mol

Hence 0.001mol of XCO3 is required.

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

PLEASE HELPP AND SHOW WORK​

Answers

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]

2 = [tex]\frac{34}{x-8}[/tex]

x - 8 = [tex]\frac{34}{2}[/tex]

x - 8 = 17

x = 17 + 8

x = 25

Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.

Answers

It is a 101.67 percent increase hope this helps

This flow chart shows the first five steps in a criminal
court case.
What happens during the sixth step?
The jurors discuss the case.
The lawyers present the facts.
The judge states the sentence.
O The defendant takes the stand.
Jury selection
Opening
statements
Jury deliberation
Evidence
presented
Closing
statements

Answers

Answer:

The answer is B

Step-by-step explanation:

Because I did the test on edge

Pleaseee I need help

Answers

Answer:

32

Step-by-step explanation:

2x-16 + 4x+4 =180

6x=180+12

6x=192

x=32

I hope this helps, have a good day

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Yeah my math class is coocoo, and im stuck on this. Im slow. Help me :(

Answers

Answer:

y=4x+4

Step-by-step explanation:

i was learning this not too long ago so i hope this helps y=mx+b     aka slope is 4 and then for b you put the y intercept aka 4  and then the x and y factors you csn leave blank cause you dont have them

An equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

The coordinates from the line on the graph is (-3, 4) and (3, 2).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, slope =(2-4)/(3+3)

= -2/6

= -1/3

Substitute m=-1/3 and (x, y)=(-3, 4) in y=mx+c, we get

4=-1/3 (-3)+c

⇒ c=3

The slope of a line perpendicular to given line is m1=-1/m2

So, slope =3

An equation of the line that passes through (-1,4)

Now, 4=3(-1)+c

c=7

Put m=3 and c=7 in y=mx+c, we get

y=3x+7

Therefore, an equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

plz i have 24 hrs to answer this... Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X? 1,200 - 15x > 25x

1,200 + 15x > 1,200 + 25x

1,200 - 15x < 25x

1,200 + 15x < 25x

Answers

Answer: Choice C.    1200 - 15x < 25x

=======================================================

Explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

----------------

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

-----------------

So we found these two expressions

1200-15x25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.

Answer:

C

Step-by-step explanation:

cause i got it right

H
SSS
SAS
ASA
AAS
HL
cannot determine

Answers

Answer:

last answer

Step-by-step explanation:

please help me with this please

Answers

Answer:

the answer is 14 so I need jdjdjrjrjrekeiwodbf jcjcix

Answer:

the answer would be 14

Step-by-step explanation:

The table is going by 4's

please help!!
(dont steal points pls)

Answers

Answer:

i think its 8.7  miles but i might be wrong please correct me if i am

Step-by-step explanation:

Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE  

It’s b .......................

I WILL GIVE BRAINLY

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSSSS SHOW YOUR WORK PLSSS

Answers

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

this is so confusing ngl​

Answers

Answer:

The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48

Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answers

I believe the answer is A

Solve for x and then find the length of 2x + 6 and 3x + 6.

Answers

Answer:

Step-by-step explanation:

1. 2x + 6 = 3x-6

2. 2x = 3x-12

3. -1x=-12

4. x=12

2(12) + 6 = 30

3(12) - 6 = 30

Answer:

30

Step-by-step explanation:

because S angle = T angle, this is isosceles triangle

=> SV=TV <=> 2x+6=3x+6

<=> x=12

=> SV=ST=30

What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help

Answers

The answer is B) 18:) hope this helps

The product of 6 and a number.

Answers

6x is the answer
mark me brainliest if the answer is correct, thank you in advance :)
6x is the answer for this question

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies, y, to the number of cups of flour used, x?

Answers

Answer  k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

Solve the equation sin^2x=3Cos^2X.

I would love to graduate...so thanks in advance!

Answers

Answer:

240°

Step-by-step explanation:

[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

PLEASE HELP!!!
In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbers of miles you have to run in 20 minutes to exceed this rate? (Hint: 1 mile = 5280 feet)
________________________________________
PLEASE PROVIDE AN EXPLANATION, thank you!
Also, the math should include an inequality. Please show how the answer was gotten with an INEQUALITY. It will help, thank you!

Answers

chbgbunbvhthdvybv h h h hdbybc. hubcap n

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

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