What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answers
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
Related Questions
what are the zeros of the function of y=x^2-3x+2
Answers
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
x-2=0 x=2
x-1=0 x=1
add (7x^2-3 x)+(5x-6)
Answers
Answer:
Step-by-step explanation:
(
4
x
)<(
15
5(5x−2)−3(7x−3)
)
(
4
x
)<(
15
25x−10−21x+9
)
(
4
x
)<(
15
4x−1
)
15x<16x−4
4<x
∴x∈(4,∞)
Evaluate -1 - [-z] where z = -2
Answers
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
-3
Step-by-step explanation:
Evaluate - 1 - ( - z ) where z = -2
you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3
The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = [tex]x^{3}[/tex] – 2[tex]x^{2}[/tex] – 3x – 8 at x = 3, find the equation of the line.
Select one:
a. 2x − y + 2 = 0
b. 2x + y + 2 = 0
c. 2x + y − 2 = 0
d. None of these
Answers
Answer:
B. 2x+y+2+=0
Step-by-step explanation:
Given: x=3
First: you substitute for x in y=x^3-2x^2-3x-8
y=(3)^3-2(3)^2-3(3)-8
y=-8
Now all you have to do is plug y in each of the answers until you get 3 for x.
A. 2x-(-8)+2=0
2x+10=0
2x=-10
x=-5
B. 2x+(-8)+2=0
2x-6=0
2x=6
x=3
C. 2x+(-8)-2=0
2x-10=0
2x=10
x=5
16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?
Answers
HELP HURRY PLS
Graph y= 1/2x-3
Answers
Answer:
This is what it would look like. Hope this helps!
Maija is bicycling north on a straight path. She bicycles for
17.
4
kilometers when she realizes she is
thirsty. Maija remembers passing a water fountain
2 kilometers earlier By rounding to the nearest
whole number, estimate the distance from the beginning of Maija's ride to the water fountain
Answers
Answer:
The awnser is 19 Kilometers
pls help i really dont understand this
Answers
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.
Answers
The correct option is E. 0.579
Given, sin M = 0.759.
We have to find the value of cos N.
Since [tex]\Delta LMN[/tex] is right triangle.
We know that,
[tex]sin(90-\Theta)= Cos \Theta[/tex]
Assuming L is the right angle, So the other two angles are complementary.
Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]
Hence,[tex]Cos(N)=Sin(M)[/tex]
Therefore the value of Cos N will be 0.759.
For more details on trigonometric ratio follow the link:
https://brainly.com/question/1201366
Last year, 1,920 athletes finished the Cedarburg Marathon. This year, the number of runners
crossing the finish line was 15% lower. How many athletes finished the race this year?
Answers
Answer:
1,632
Step-by-step explanation:
the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year
Help please!! (The image is for all questions)
1. Complete the chart. Type your 3 responses.
2. Use 2 points from your chart to calculate the slope. formula: y2 - y1
x2 - x1
3. What would be the y intercept? (AKA the “0” number)
4. Use your answers to write an equation for this scenario in slope intercept form (AKA y = mx + b)
5. Use your formula to calculate how much water would be left in the pool after **6 hours**
Answers
Answer:
y-y=1 so the answer is 1 bro
What is the value of the expression
Answers
Because
5/4 x ( 2/3 x 8/5)
= 5/4 x 16/15
We can cancel 4 and 16
= 5 x 4/15
We can cancel 5 and 15
= 4/3
4/3 is technically 1 1/3
Hope this helps ❤️
Answer:
I think it's B.
Step-by-step explanation:
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $18,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $9,000 down payment be? Their down payment is enter your response here% of the purchase price. (Type a whole number.) A $9,000 down payment would be enter your response here% of the purchase price. (Type a whole number.)
Answers
Answer:
$180,000 is 10% $9,000 is 5%
Step-by-step explanation:
To solve for this, you would set up a ratio and cross-multiply.
$18,000/$180,000 = x%/100%
(18,000)(100) = 180,000x
1,800,000 = 180,000x
10 = x
9,000/180,000 = x/100
900,000 = 180,000x
5 = x
OR
$18,000 ÷ 2 = $9,000
10% ÷ 2 = 5%
please answer!!!!!!!!!!!!!!!!!
Answers
which of the following equations could be parallel to the equation x = 5
A. y = 5x
B. x = -2
C. y = 5
D. y = x
Answers
Answer:
B
Step-by-step explanation:
x = 5 is the equation of a vertical line parallel to the y- axis
The equation of a line parallel to it must have the same form, that is
x = - 2 ← vertical line parallel to x = 5
For a field trip 20 students rode in cars and the rest filled 5 buses. How many students were in each bus if no more than 250 students went on the trip?
Answers
Answer:
46 bc 250 -20 =230 and 230÷5= 46
HELP!!! THIS IS IMPORTANT
, aflred runs 2 1/2 miles in 3/4 of an hour.
Which unit rates are true for this situation?
3/10 miles per hour
3/10 to run a mile
3 1/3 miles per hour
3 1/3 hours to run a mile
Answers
A survey of students in a large introductory statistics
class asked about their birth order (1 oldest or only
child) and which college of the university they were
enrolled in to the right is a table showing the results.
Suppose a student is selected at random from this
class. Complete parts a through d below:
Answers
Answer:
You have to show the table, not enough information is given here
Step-by-step explanation:
26 kg of potatoes cost $210.60. How much would 6 kg cost?
Answers
Answer:
$48.6
Step-by-step explanation:
We have to use Unitary Method, means, we'll first have to find cost of one unit.
26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6Hope it helps :)
Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared? 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 16 2 log Subscript 5 Baseline x 2 log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4.
Answers
The required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
Given expression,
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We have to find the Equivalent fraction of [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We know that from the properties of logarithm, the following identities
[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)
[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)
Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)
Again using 2 identity, we get
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]
Hence the required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
For more details on logarithm follow the link:
https://brainly.com/question/163125
Answer:
C on edge
Step-by-step explanation:
18. A family drove 28 miles in 35 minutes. At that rate, how many minutes would it take the
family to drive 91 miles?
72.8 minutes
098 minutes
O 113.75 minutes
O 122.5 minutes
Answers
Answer:
Answer:
time = 113.75 minutes
= 113.75 min
= 01:53:45
= 1 hours, 53 minutes, 45 seconds
Step-by-step explanation:
helpppppppppppppppppp
Answers
Answer:
IP information is attached to each packet, and this information helps routers to send packets to the right place. Every device or domain that connects to the Internet is assigned an IP address, and as packets are directed to the IP address attached to them, data arrives where it is needed.
Step-by-step explanation:
hope i helped!
pleaseee help mee tysm
Answers
Answer:
the answer is c
Step-by-step explanation:
Helppp meeee please
Answers
Answer:
The Equation for lyft is:
4.50x
The Equation for uber is
2.50x+5
Step-by-step explanation:
If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.
It would look like this
Lyft: 4.50 (5)= 22.5
Uber
2.50 (5) +5= 17.5
If the distance were 5 miles uber would be the better option.
a woman runs 300 meters in 50 seconds whats her speed (show work and the formula)
Answers
Answer:
300 divided by 50=6 meters per second
Hope This Helps!!!
Step-by-step explanation:
Solution,
speed = distance traveled ÷ time taken
= 300÷50s
= 6/1
Therefore, speed is 6/1 [6 by 1]
Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much income tax does Valeria pay?
A. $3,600
B. $1,200
C. $360
D. $12,000
Answers
Answer:
A.$3,600
Step-by-step explanation:
24,000*15% = 3600
or
24,000*0.15 = 3600
Answer:
A
Step-by-step explanation:
24000x15/100
For f (x) = 2x - 1 evaluate f(-8)
Answers
Step-by-step explanation:
f(x) = 2x - 1
Putting value of x = - 8
f(-8) = 2(-8) - 1
= - 16 - 1
= - 17
the reataurant started the week with blank quarts the of olive oil
Answers
Answer:
where is the question like background info
Step-by-step explanation:
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
592 sq. ft
512 sq. ft
960 sq. ft
800 sq. ft
Answers
Hope this helps!
What is the simplest form of ^4sqrt324x^6y^8
Answers
[tex]\rm{\green{Answer \: is:-}}[/tex]
[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)
Step-by-step explanation:
Hope it's helpful to youLet's see
[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]
m√a^n=a^n/m[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]