Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.

Answers

Answer 1

hello :
let the slope : a and ; b the slope of the line : 6x - 3y = 2
the line that is perpendicular to 6x-3y=2 so : a×b = - 1
but :
6x - 3y = 2... y = 2x-2/3 when : b = 2
in point - form form of the equation of the line that is perpendicular
to 6x-3y=2 is : y = (-1/2)x +c
contains (5,1) : 1 = (-1/2)(5) +c
c = 7/2
an equation is : y= (-1/2)x +7/2

Related Questions

I need help on number 97 please

Answers

since gecko is 1/ the length of an iguana,

that would mean iguanas are twice as long as geckos

so 4*2 = 8 inches for iguanas

find the measure of an angle between 0 and 360 coterminal with an angle of -271 in standard position. a. 181 b. 271 c. 89 d. 91

Answers

Masure of an angle co-terminal with an angle of -271 in standard position is

360° - 271° = 89° (answer c)

Answer:

C) 89 degrees

Step-by-step explanation:

Given:

The given angle is -271. which is standard position

We have to subtract 271 from 360 to find the required angle.

= 360 -271

= 89 degrees.

The answer is C) 89 degrees

Hope this will helpful.

Thank you.

Last year, 1300 procedures were performed on 3900 patient visits. 33% of your patient visits involved a procedure. If you are able to increase that percentage to 45%, what is the number of procedures you will do this year?

Answers

Let x = number of procedures
y = number of patient visits
n = % (in decimal form)

Note:
Percentage form = 33%
Decimal form = 0.33
Conversion factor: 1 = 100%

Considering the first statement that 33% or 0.33 is derived from dividing 1300 procedures with 3900 patient visits.Then, our working formula is x/y = n.

If we are ask to increase the percentage to 45% or 0.45, then substitute this value to n in the formula. We subsequently get,

x/y = 0.45

Assuming the patient visits remains the same and substitute it in the formula. We subsequently get,

x/3900 = 0.45

Solving for x. We arrive at an answer of x = 1755 procedures.

How can I factor 5r^2+23r+26

Answers

use quatratic formula

Answer:the factors are r= -2 or r= -2.6

Step-by-step explanation:

5r^2+23r+26=0

The equation cannot factorized

So the general formula would be used

r = [-b +-√(b^2 -4ac)]/2a

a = 5

b =23

c = 26

r =[ -23+-√(23^2-4×5×26)]/2×5

= [-23+-√529-520)]/10

=(-23+-√9)/10

=(-23+-3)/10

r = (-23+3)/10 or r= (-23-3)/10

r= -20/10 or r= -26/10

r= -2 or r= -2.6

Evaluate the expression 8√8.41 +1.8

Answers

The value of the expression is 25

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 8√8.41 +1.8

8√8.41 +1.8

= 8×2.9 + 1.8

= 23.2 + 1.8

= 25

Hence, the value of the expression is 25

For more reference on expressions, click;

https://brainly.com/question/14083225

#SPJ2

The approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

To evaluate the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex], follow these steps:

1. First, approximate the square root of 8.41. The square root of 8.41 is approximately 2.902, because [tex]$ 2.902^2 \approx 8.41 $[/tex].

2. Now, multiply this approximate square root by 8:

[tex]\[ 8 \times 2.902 \approx 23.216 \][/tex]

3. Finally, add 1.8 to this result:

[tex]\[ 23.216 + 1.8 \approx 25.016 \][/tex]

Therefore, the approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

The answer is: 25.016.

John has 305 and he spending 3 each day which algebraic expression describes this situation where d represents the number of days

Answers

305 = 3d

d = number of days

hope this helps

Perform the indicated operation. 5 1/6 – 2 2/3
2 1/3
2 1/2
2 1/6

Answers

5 1/6 - 2 2/3

convert to improper fractions:

5 1/6 = 31/6

2 2/3 = 8/3

find common denominator:

8/3 = 16/6

31/6 - 16/6 = 15/6

15/6 = 2 3/6 = 2 1/2

5 1/6 – 2 2/3
= 5 1/6 - 2 4/6
= 4 7/6 - 2 4/6
= 2 3/6
= 2 1/2

answer
2 1/2

You have a coordinate grid that is 96 x 96. assuming that you encode the x and y coordinate as separate numbers, what is the minimum number of bits that you will need to encode a coordinate in that space?

Answers

Final answer:

To encode a separate x and y coordinate on a 96 x 96 grid, you would need a minimum of 7 bits to represent each coordinate. This is because the nearest power of 2 above 96 is 128, which is 2^7.

Explanation:

The subject of this question deals with using binary numbers, or bits, to store data in two-dimensional space, such as with a coordinate grid or a digital image. In this specific case, a coordinate grid with a size of 96 by 96. When encoding the x and y coordinate as separate numbers, we are trying to represent numbers from 0 to 96, so we have 97 different values to represent.

To calculate how many bits you need to store an integer, the question becomes: how many powers of 2 (bits) does it take to store that many different values? The closest power of 2 greater than 96 is 128, which is 2 to the seventh power (2^7). Therefore, you would need a minimum of 7 bits to store a coordinate in that space.

Learn more about Bits here:

https://brainly.com/question/37032504

#SPJ12

A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit?

Answers

Let a = units of A produced
Let b = units of B produced

At least 30 units of product A and 10 units of product B are required daily, and the maximum number of units per day should not exceed 80.
Therefore
a ≥ 30
b ≥ 10
a + b ≤ 80

Product A yields a profit of $15 and product B yields a profit of $8.
Therefore the objectve profit function is
P(a,b) = 15a + 8b

Answer:
The objective function is
P(a,b) = 15a + 8b, subject to
a >= 30; b>= 10; a+b <= 80

Create a graph that displays the constraints and calculates maximum profit at the boundary points. The solution region is shaded.
The maximum profit occurs when a=70 and b=10.

p=15a+8b
is the answer

Which equation correctly applies the distributive property? 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answers

the third one........hope this helps

Answer:

The correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

Explanation:

The distributive property states that for any real numbers [tex]$ a $, $ b $, and $ c $:[/tex]

[tex]\[ a \cdot (b + c) = a \cdot b + a \cdot c \][/tex]

Let's see which equation correctly applies the distributive property:

1. [tex]$ 2.4 \cdot (-3.4) \cdot (-1.25) = (-3.4) \cdot 2.4 \cdot (-1.25) $[/tex]

This equation doesn't correctly apply the distributive property. It just switches the order of multiplication, which doesn't demonstrate the distributive property.

2. [tex]$ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of [tex]$ -2.5 $ and $ (4 \cdot 3.67) $[/tex] into two separate multiplications.

3. [tex]$ (42 \cdot 3.5) + (42 \cdot 1.3) + (42 \cdot 5.2) = 42 + (3.5 + 1.3 + 5.2) $[/tex]

This equation doesn't apply the distributive property. It simply adds the products on the left side and compares it to the sum of the terms on the right side, which doesn't demonstrate the distributive property.

4. [tex]$ -3 \cdot (6.48) = (-3 \cdot 6) + (-3 \cdot 0.4) + (-3 \cdot 0.08) $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of $ -3 $ and $ 6.48 $ into three separate multiplications.

So, the correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts were sold. how many of each color were sold?

Answers

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

Thad and his four family members are going to the fair. admission to the fair costs $8. books of ride tickets are $15. thad has $200. how much money will he have for food and souvenirs?

Answers

So first you have to do 5*8=40
And then 5*15=75
And add them together and you get
75+40=115
200-115=85
And you got 85 for food and souvenirs

Really need help with #57!

Answers

now, when the candle fully burns, its final height "h" is 0, because, well the candle is not longer standing, it burned completely all you have is a bunch of hot wax on the candle holder, so h = 0.

[tex]\bf r=\sqrt{\cfrac{kt}{\pi (h_o-h)}}\qquad \begin{cases} h=0\\ r=0.875\\ h_o=6.5\\ k=0.04 \end{cases}\implies 0.875=\sqrt{\cfrac{0.04t}{\pi (6.5-0)}} \\\\\\ \textit{now we square both sides}\quad 0.875^2=\cfrac{0.04t}{65\pi }\implies 65\pi \cdot 0.875^2=0.04t \\\\\\ \cfrac{65\pi \cdot 0.875^2}{0.04}=t\implies \stackrel{minutes}{3908.58}\approx t[/tex]

which is 65 hours and 8 min and about 35 seconds. Or 2 days and 17 hours and 8 mins and 35 secs.

Find the distance between the given points. A(5, 3) and B(7, -4) Distance =

Answers

d=sqrt((7-5)^2+(-4-3)^2)
d=sqrt(2^2+(-7)^2)
d=sqrt(4+49)
d=sqrt(53)
d=7.28 units

For A(5, 3) and B(7, -4), the distance is is mathematically given as

What is the distance between the given points?

Generally, the equation for distance is mathematically given as

[tex]D=\sqrt{(x')^2+(y')^2)}[/tex]

Therefore

[tex]D=\sqrt((7-5)^2+(-4-3)^2)[/tex]

[tex]D=\sqrt{2^2+(-7)^2) }[/tex]

[tex]D=\sqrt(53)[/tex]

D=7.28 units

In conclusion, the distance is

D=7.28 units

Answers

there are only 70 students in chorus.

I think the answer is: "70"

What is the solution to x^2-8x+18=0 when written in the form a+or-bi?

Answers

THE ANSWER IS THE LAST ONE

Just wanna check my answers...find (f+g)(x) if f(x)=3x-7 and g(x)=x^2+3x-4

Answers

Find (f+g)(x), add the two expressions that equal f(x) and g(x). Then combine like terms.

3x-7+x^2+3x-4
x^2+6x-11

Final answer: x^2+6x-11

what is the solution of -3p+4<22?

Answers

-3p+4<22
4-22<3p
-18<3p
-18/3<p
-6<p
p>-6

Find the next two numbers in the pattern.
−12,60,−300,1500,
−, , . . .

Answers

It is -7500 and 37500.

In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the circle. The measure of angle SQN is 66 degrees

33 degrees
42 degrees
66 degrees
48 degrees

Answers

Angle SQN = 66 degrees (given)
----------------------------
Use the inscribed angle theorem to get

Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
----------------------------
Arc PSN is a semicircle so it is 180 degrees, meaning that...

Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
----------------------------
Focus on triangle PTR; isolate angle PRT

(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
----------------------------
----------------------------
Final Answer:
The measure of angle PRT is 42 degrees

if the square of a number decreased by the number is 12 then what is the number

Answers

The number is 4. Think about it! 4 squared is 16, subtract 4 is 12.

A total of 518 tickets were sold for the school play. they were either adult tickets or student tickets. there were 68 more student tickets sold than adult tickets. how many adult tickets were sold?

Answers

259 adult tickets were sold

By setting up two equations based on the total number of tickets and the difference in the number of student and adult tickets, we find that 225 adult tickets were sold for the school play.

To determine the number of adult tickets sold, we can set up two equations based on the information provided. Let A represent the number of adult tickets and S represent the number of student tickets.

The first equation comes from the total number of tickets sold: A + S = 518.

The second equation comes from the additional information about the number of student tickets being greater than adult tickets: S = A + 68.

We can substitute the second equation into the first to solve for A:

A + (A + 68) = 5182A + 68 = 5182A = 518 - 682A = 450A = 450 / 2A = 225

Therefore, 225 adult tickets were sold for the school play.

please help me thanks!!

Answers

Your answer should be A) angle addition postulate; subtraction property of equality

for the first one, you are adding angles, and for the second, i believe it was suppose to be subtraction

hope this helps

An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
8,120 hours
8,000 hours
5 hours
2 hours

Answers

f(h) = 40h + 120....when f(h) = 200

200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h <=== 2 hrs

here is the answer my friend . Hope you give me a thank for the answer.

please help whoever answers all questions correct will get brainlist

Answers

1. 6137/9 = 681.88 = 682 weeks

2. 124 +150 +161 = 435/3 = 145 average

3. 2*5.00 = $10.00 + 6.25 = $16.25

4. 28*2 = 56, 26*2 =52, 56+52 = 108 feet of fence

5. 7 *2 = 14 hours

If EG=50,and point F is 2/5 of the way between E and G

Answers

2/5 of 50 is 20. 50-20=30. Making FG=30

The measure of the segment EF = 20 and the measure of the FG is 30.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the segment EG is 50 and the ratio of EF to EG is 2 to 5. The length of the segment EF and FG will be calculated as,

EF / EG = 2 /5

EF = ( 2 x EG ) / 5

EF = ( 2 x 50 ) / 5

EF = 2 x 10

EF = 20

The length of the segment FG will be calculated as,

EF / FG = 2 / 3

FG = ( 3 x EF ) / 2

FG = ( 3 x 20 ) / 2

Fg = 3 x 10

FG = 30

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Which is correct regarding the statement: “If x is an odd integer, then the median of x , x + 2, x + 6, and x + 10 is an odd number”

A.) the statement is sometimes true

B.) the statement is always false

C.) the statement is always true

D.) there is not enough information provided to answer the question

Answers

x is an odd number

x+2 is also odd (consider the example x = 3 so x+2 = 3+2 = 5). Adding 2 to any odd number is always odd

Similarly, so is x+6 (since we have x+2+2+2).

And so is x+10 (x+2+2+2+2+2).

So every value in this list is an odd number. The middle most values are x+2 and x+6 which are both odd.

Adding any two odd numbers together yields an even number. For example 3+5 = 8. Divide this even number in half and we may or may not get an odd number (eg: 8/2 = 4 and 6/2 = 3)

So this statement is sometimes true

any odd number can be represented by 2n+1 where n is an integer

the median will be the middle number, if there are 2, then it is the average of the 2 middle numbers when they are arranged in increasing order

we can see that there are 4 numbers, the middle 2 are x+2 and x+6
the average of those is (2x+8)/2=x+4

if x is odd, then we can replace x with 2n+1
2n+1+4=2n+4+1=2(n+4)+1, and n+4 is an integer so that is an odd result, bein 2(n+4)+1 is the same as 2m+1 where m is an integer

the statement is always true

C is answer

What are the intercepts of 5x = 2y +4??

Answers

The y intercepts are when x=0 (the line crosses the y axis) and the x intercepts are when y=0 (the line crosses the x axis). Plugging x=0 in, we get 5*0=2y+4. Subtracting 4 from both sides, we get -4=2y and by dividing both sides by 2 we get y=-2, for one intercept to be (0, -2). For the other intercept, we make y=0 to get 5x=2*0+4=4. Dividing both sides by 4, we get x=4/5, making our other intercept (4/5, 0)

Solve 1/r =1/r1+1/r2 for R

Answers

1/r = r2 + r1
---------
r1r2

r = r1r2
-----------
r2 + r1

The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We have been given a equation as

1/r = 1/r1 + 1/r2

Let r1 = x and r2 = y for an instance, then solve for equivalent r.

Therefore,

1/r = 1/x + 1/y

Solving further;

1/r = (y + x)/xy

r = xy/(x +y)

Now substitute the real values of x and y, we get;

r = xy/(x +y)

r = r1 r2/(r1 + r2)

Hence, The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ2

The difference of two supplementary angles is 32 degrees. what are the angles

Answers

supplementary means 180

180-32=148 hope this helps

Supplementary angles are adjacent angles which add to 180 degrees. Let's define the angles:

Let x and y define the two angles, and let's say x is the larger of the two angles
We can write two equations:
x+y = 180 (definition of supplementary angles)
x-y = 32 (given)

Add the equations together to eliminate y:
------------
2x = 212 [divide both sides by 2]
x=106
The other angle is 180-106 = 74

Other Questions

In angle abc , m angle A =x , m angle B =2x+2, m angle C = 3x+4.what is value x TRUE OR FALSE: The number 532 has 2 significant digits. Select one:TrueFalse What sentence is the topic sentence of the paragraph If health care costs continue to rise, insurance companies fear that A. they'll have to offer a greater variety of insurance policies. B. government involvement will increase on both state and federal levels. C. consumers will be driven to competitors who can offer lower prices. D. coverage for dependents under age 18 will decrease Which of the following statements does not describe a chemical property of oxygen: 1)Oxygen combines with carbon to form carbon dioxide gas 2) When coal is burned in oxygen, the process is called combustion 3)Iron will rust in the presence of oxygen 4)The pressure is caused by collision of oxygen molecules with the sides of a container What is one potential reason a plant may be forced to elevate its cell respiratory rate? You roll a six sided dice four times, what is the probability of rolling four sixes? Which of the following shows the correct order of the numbers below? (1/2) 2 , , 0.45 Which is the correct answer???Which religions were practiced in the Mughal Empire?A)Hinduism and BuddhismB)Islam and SikhismC)Hinduism and ChristianityD)Islam and ChristianityMy friend told me that, the answer C is incorrect. Which of the following is not something that Northwest Indians taught to the white settlers of the area?Question 4 options:salmon fishingclam diggingarchitecture and construction techniquestobacco cultivation The Doppler Effect means that all observers of a moving wave source detect the same wave frequency.True or False 17) The "investiture struggle" that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the church and state over who had the power to What were the reasons for the revolts and rebellions that occurred in the colonies of virginia, maryland, massachusetts, and new york between 1660 and 1700? how were these rebellions resolved? What is a round character?a-a character who contrasts the personality of another characterb-a character who stays the same throughout a storyc-a character who has a complex personalityd-a character who has just one or two personality traits A toll bridge charges $1.00 for passenger cars and $2.50 for other vehicles. suppose that during daytime hours, 65% of all vehicles are passenger cars. if 20 vehicles cross the bridge during a particular daytime period, what is the resulting expected toll revenue? How does miller characterize parris? how does parris feel about his parishioners? E. when the price of sunscreen is in the range of $14.00 per bottle to $12.00 per bottle, demand is: Write a paragraph in Spanish about what your best friend's typical day is like. Be sure and use reflexive verbs and some times. Remember, a paragraph is a minimum of five sentences. In literature authors often use flashback to Which expression represents the calculation subtract 10 from 36, then divided by 6?A)6 (36 10)B)(36 10) 6C)(36 6) 10D)(10 36) 6 Steam Workshop Downloader