What’s the point-slope form of a line with slope 2/5 that contains the point (-3,6)
Answers
Answer:
The equation of this line is y - 6 = 2/5(x + 3)
Step-by-step explanation:
To find this, start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 6 = 2/5(x + 3)
Related Questions
please help type the integer that represents the correct answer the absolute value of 7
Answers
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The Tran Family drove 1,246 miles during a vacation that lasted 14 days. How many miles on average did they drive each day? :3
Answers
1246 / 14 = 89
The Tran Family drove an average of 89 miles every day.
To solve this problem, divide the numbers 1,246 and 14 . . .
1,246 ÷ 14 = 89 ←
Once you divide the miles and days, you will find your answer (89).
The correct answer is 89.
They drove 89 miles each day on average.
I hope this helps you.
Have a great day! :)
what is the classification for this polynomial u^2v^3w?
A.) monomial
B.)binomial
C.)trinomial
Answers
The polynomial u^2v^3w is classified as a monomial because it consists of a single algebraic term. Monomials are polynomials with exactly one term, unlike binomials or trinomials which have two or three terms, respectively.
Explanation:The classification for the polynomial u^2v^3w is a monomial. A monomial is a single term algebraic expression with one or more variables raised to a non-negative integer power. Since u^2v^3w consists of a single term without a plus (+) or minus (-) sign connecting it to other terms, it is considered a monomial.
The classification of polynomials is based on the number of terms they contain:
Monomial: A polynomial with one term, such as 3x or -a^4b^2.Binomial: A polynomial with two terms, such as x + y or 3a - 7b.Trinomial: A polynomial with three terms, such as x^2 + 2x + 1 or a^3 - 3a^2b + 2ab^2.Knowing the classification of polynomials helps in understanding how to perform operations such as addition, subtraction, multiplication, and division with them.
Simplify: (3 + 4i) + (2 - 3i) - (5 - 6i)
Answers
= 0 + 7i
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Explanation:
________________________________________________________
(3 + 4i) + (2 - 3i) - (5 - 6i) =
(3 + 4i) + 1(2 - 3i) - 1(5 - 6i) ; ← Note that the coefficient, "1" is implied;
since any value, multiplied by "1" , results in that same value.
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Note the "distributive property" of multiplication:
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a(b + c) = ab + ac ;
a(b – c) = ab – ac .
_____________________________________________________________
We have:
(3 + 4i) + 1(2 - 3i) - 1(5 - 6i) ;
Start with:
" + 1(2 - 3i) " = (1*2) - (1*3i) = 2 - 3i ;
Then, we examine:
" - 1(5 - 6i) " = (-1*5) + (-1 * -6i) = -5 + (+6i) = -5 + 6i ;
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And we rewrite the entire expression:
______________________________________________________________
3 + 4i + 2 - 3i - 5 + 6i ;
Combine the "like terms" ; as follows:
3 + 2 - 5 = 5 - 5 = 0 ;
4i - 3i + 6i = 1 i + 6i = 7 i ;
0 + 7i = 7i .
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The answer is: " 7 i " .
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Help! WHAT IS THE VALUE OF X, and can you show how you got it please?
Answers
in the right triangle ABD
applying the Pythagoras theorem
8²=AD²+(x+4)²-----> AD²=64-(x+4)²------> equation 1
in the right triangle ADC
applying the Pythagoras theorem
12²=AD²+(2x+1)²-----> AD²=144-(2x+1)²------> equation 2
equate equation 1 and equation 2
64-(x+4)²=144-(2x+1)²-------> 64-[x²+8x+16]=144-[4x²+4x+1]
64-x²-8x-16=144-4x²-4x-1
4x²-x²-8x+4x=144-1-64+16
3x²-4x=95
3x²-4x-95=0
using a graph tool----> to resolve the second order equation
see the attached figure N 2
the solution is
x=6.33
the answer is
x=6.33 units
if the number of bacteria in a colony double every 330 minutes and there is currently a population of 1100 bacteria what will the population be 990 minutes from now
Answers
If it doubles every 330 minutes, it will increase by a factor of 4 after 990 minutes.
1,100 * 4 = 4,400
A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is -13, what term follows the term that has the value 13?
Answers
The common difference of the sequence is -13. This means, if we -13 to a term we'll obtain the next term.
If a term is 13, the term that will be next to 13 can be obtained by adding -13 to it.
So,
13 + ( -13) = 13 - 13 = 0
Thus, the next term will be 0.
Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.
Answers
m=(y₂-y₁)/(x₂-x₁)
m= (-1-4)/(-5-(-4))
m= 6
y=mx+b
4=6(-4)+b
b=28
y=6x+28
(-2,4)
parallel means the slopes are the same:
4=6(-2)+b
4=-12+b
b=16
y=6x+16
Someone please help me?
Answers
Will give brainliest-H(t)=-16t^2+28t
T is time in seconds.
How long will it take for the dolphin to make one jump, show your work.
Answers
H (t) = - 16t ^ 2 + 28t
When the dolphin finishes a jump, then the height is equal to zero.
We have then:
-16t ^ 2 + 28t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 1.75 s
Therefore, the dolphin takes 1.75 seconds to make a jump.
Answer:
it will take for the dolphin to make one jump about:
t = 1.75 s
Three consecutive numbers that have a sum of 159. What are the numbers?
Answers
n + (n + 1) + (n + 2) = 159
3n + 3 = 159
3n = 156
n = 52
n + 1 = 53
n + 2 = 54
So the numbers are 52, 53, and 54.
The numbers are 52, 53, 54.
What are three consecutive odd integers that have a sum of 39?
Answers
x + x + 2 + x + 4 = 39
3x + 6 = 39
3x = 33
x = 11
The three consecutive odd integers are 11, 13, and 15
Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
the pictures in order are
a
b
c
d
and the last picture is a figure if an awnser is missing please tell me if that one is the correct one
Answers
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, [tex]\triangle EFA[/tex] and [tex]\triangle KFD[/tex] are similar triangles.
Because, [tex]\angle FAE= \angle FDK[/tex] and [tex]\angle FEA= \angle FKD[/tex] (because EA and KD are parallels. And, [tex]\angle F[/tex] is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.
A girl scout sells 3 boxes of cookies during week 1. She has a goal to sell twice as many cookies each week as she did the week before. If she succeeds in doing this during weeks 2, 3, 4, and 5, how many boxes will she sell all together? a0
Answers
Week Three: 12 Boxes
Week Four: 24 Boxes
Week Five: 48 Boxes
Final Answer: 96 Boxes
(Add them all together)
Week 1: 3 cookies
Week 2: 6 cookies
Week 3: 12 cookies
Week 4: 24 cookies
Week 5: 48 cookies
3+6+12+24+48 = 93.
All together, she sold 93 cookies.
Hope this helped! :)
A card is being drawn from a standard deck of playing cards. Find each probability.
1.P(Jack or ten)
2.P(red or black)
3.P(queen or club)
4.P(red or ace)
5.P(diamond or black)
6.P(face card or spade)
Answers
To find each probability we will use the definition of probability:
Probability = number of positive outcomes / number of total possible outcomes
1) P(Jack or ten)
Answer: 2/13 ≈ 0.12
Justification:
i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.
ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes
iii) Probability, P
P = number of positive outcomes / number of total possible outcomes
P = 8 / 52 = 2/13 ≈ 0.15
2.P(red or black)
Answer: 1
Justification:
i) Positive outcomes
Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52
ii) Possible outcomes: 52 cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 52 / 52 = 1
3.P(queen or club)
Answer: 4/13 ≈ 0.31
Justification:
i) Positive outcomes
There are 4 Queens.
There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.
But you cannot add all of them, because one club is the Quenn of Clubs.
Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 16 /52 = 4 / 13 ≈ 0.31
4.P(red or ace)
Answer: 7 / 13 ≈ 0.54
Justification:
i) Positive outcomes
Half of the cards are red: 26
There are 4 aces.
Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28
ii) Possible outcomes: 52 different outcomes
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 28 / 52 = 7 / 13 ≈ 0.54
5.P(diamond or black)
Answer: 1/2 = 0.5
Justification:
i) Positive outcomes
There are 52 / 4 = 13 diamonds
There are 26 black cards.
All the diamonds are black cards.
Then, the number of different diamond or black cards is 13 + 26 - 13 = 26
ii) Possible outcomes: 52 different cards.
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 26 / 52 = 1/2 = 0.5
6.P(face card or spade)
Answer: 11/26 ≈ 0.42
Justification:
i) Positive outcomes
Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.
The spades are 13 cards.
Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 22 / 52 = 11 / 26 ≈ 0.42
Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volume of the large cube?
Answers
Answer:
Ratio of the volumes of the cubes = 216 : 343
Step-by-step explanation:
Since surface area of a cube is represented as 6a² where a is the side of a cube.
Let a is one side of large cube and b is the side of smaller one.
Ratio of their surface area = [tex]\frac{6a^{2} }{6b^{2}}=\frac{72}{98}[/tex]
[tex](\frac{a}{b})^{2}=\frac{36}{49}[/tex]
[tex]\frac{a}{b}=\sqrt{\frac{36}{49}}[/tex]
[tex]\frac{a}{b}=\frac{6}{7}[/tex]
Now ratio of the volumes = [tex]\frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}[/tex]
Ratio = [tex](\frac{6}{7})^{3}=\frac{216}{343}[/tex]
Therefore, ratio of the volumes of the cubes = 216 : 343
x(t) = t^3 - 12t^2 + 36t
Velocity = x'(t) = 3y^3 - 24t + 36 = 0
x'(t) = t^2 - 8t + 12 = 0
x'(t) = t^2 - 6t - 2t + 12 = 0
x'(t) = t(t - 6) - 2(t - 6) = 0
x'(t) = (t - 2)(t - 6) = 0
t = 2 and t = 6 must be the roots.
Is my answer of D "2 and 6" correct based on this work?
Answers
The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36
Other than that it looks perfect.
Please pretty please help me fast
Answers
Ordered pair -- (0, 50)
Explanation: The red region represents solutions to the red line inequality that are not solutions to the blue line.
Region 2:
Ordered pair -- (50, 0)
Explanation: The purple region represents solutions to both the red line and blue line.
Region 3:
Ordered pair -- (20, - 10)
Explanation: The blue region represents solutions to the blue line inequality that are not solutions to the red line.
Region 4:
Ordered pair -- (0, 0)
Explanation: The white region represents all points/ordered pairs that are not solutions to either inequality.
The angle of depression from point R to point S is angle .
Answers
The question involves high school level mathematics, specifically geometry and trigonometry, discussing the angle of depression, cross-sectional area, angles, distances, and congruent triangles.
Explanation:The question relates to the angle of depression and concepts of geometry involving angles and distances. In the context provided, the angle of depression from point R to S is being discussed, but not enough information is given to define the angle. The references to cross-sectional area, small-angle approximation, and congruent triangles touch on topics in geometry and trigonometry that are critical to understanding the properties of shapes, sizes, and angles in mathematical problems.
In the mathematical equations provided, 'S' is used as a variable representing a stress value, with reference to pressure units of N/m², and 'r' represents a radius which is then used to calculate an area. The references to a graph with a slope and 'y = mx + b' appear to relate to linear equations and representations in coordinate geometry.
The descriptions involving angle vector, position vector, arc length vector, and angle of distance between two points separated by an angle further contribute to the idea that this question falls under the Mathematics category, addressing high school level concepts in geometry and trigonometry.
Which of the following describes the probability distribution below?
A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
B.) The mean is greater than the median, and the majority of the data points are to the right of the mean.
C.) The median is greater than the mean, and the majority of the data points are to the left of the mean.
D.) The median is greater than the mean, and the majority of the data points are to the right of the mean.
Answers
Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.
if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean
If we draw a normal distribution bell curve as shown in the attachment, we can see that the bell curve is skewed to the right . This means it has a right tail. This means few points are to the right of the mean. In other words, we can say that majority of the data points are to the left of the mean
Since the majority of the data points are to the left, the median will also be to the left of the mean which indicates median is lesser than mean . In other words, mean is greater than median
So, answer is: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
Which expression is equivalent to .02m(n-5)-.02(m+10)
Answers
Subtract 0.02m from -0.1m to get -0.12m
Answer is~
.02mn-0.12m-0.2
Answer:
thank you
Step-by-step explanation:
If cosine x is approximately.9511 what is the measurement of x to the nearest degree? Approximately what is the sine of the angle that is complementary to x
Answers
Sin(x) = .2588 Given
ARCSin (x) = x = ARCSin(.2588) Using the calculator = 14.9988 degrees ( ~ 15 degrees)
COMPLIMENTARY angle is the angle which added to 'x' will equal 90 so the COMPLIMENTARY Angle is 75 degrees
Using the calculator again cos (75) = .2588 The same as the complimentary angle's SIN !!!
With a quick explanation please
Answers
Look at the picture.
Simplify the equation 7.5+N+9.63
Answers
Add 7.5+9.63 which would be 17.13
17.13+N
The perimeter of a parallelogram is 30 ft and its length is 5 ft. What is the length of the other side?
Answers
l = 5
therefore p= 2 (a +b)
30 = 2 (5)+2b
2b=30-2 (5)=20
2b = 20
b=20/2=10
° ° the otherside is equal to 10 ft
°
Let the length be L
The width is W
P = L + L + W + W
P = 2L + 2W
P = 2*(L + W)
P = 30, L = 5
P = 2*(L + W)
30 = 2*(5 + W)
30/2 = (5 + W)
15 = 5 + W
5 + W = 15
W = 15 - 5
W = 10
The length of the other side is 10 feet.
Company A charges a $120 annual fee plus $7 per hour car share fee. Company B charges $100 plus $9 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?
Answers
Answer:
11
Step-by-step explanation:
the weight of 1in ^3 of water is 0.036 pounds. A container contains
528.768 pounds of water. what is the volume of water in the container
Answers
density = weight/volume
0.036 = 528,768 / volume
required volume = 528,768 / 0.036 = 14,688,000 in^3
The volume of the water in the container is calculated by dividing the total weight of water (528.768 pounds) by the weight of one cubic inch of water (0.036 pounds), resulting in 14688 cubic inches.
To find the volume of water in the container, we first consider the weight of 1 cubic inch of water, which is given as 0.036 pounds. We know that the container holds 528.768 pounds of water. To find the volume, we divide the total weight of water in the container by the weight of one cubic inch of water.
Volume = Total Weight / Weight per Unit Volume
Volume = 528.768 pounds / 0.036 pounds/in³
Volume = 14688 cubic inches
If you need the volume in other units, such as gallons, you must convert cubic inches to gallons using the appropriate conversion factor.
Sally goes out to lunch and has the option of a soup or a salad and then a turkey, ham, or club sandwich. Which tree diagram correctly shows all of her choices?
Answers
Hope this helps!
Which table represents a direct variation function?
x y x y x y
-3 -4.5 -5.5 -3 -3 -7.5
-1 -3.0 -5.5 -1 -1 -2.5
2 -1.5 -5.5 2 2 5.0
5 0.0 -5.5 5 5 12.5
10 1.5 -5.5 10 10 25.0
x y
-5.5 10
-4.5 8
-3.5 6
-2.5 4
-1.5 2
Answers
The answer to this question is B Ed
The table that represents a direct variation function is
x y
-3 -7.5
-1 -2.5
2 5.0
5 12.5
10 25.0
How to determine the table?For a table to represents a direct variation, the following must be true
k = y/x
Where k represents the constant of variation
In table 3, we have:
k = 25.0/10 = 12.5/5 = 5.0/2 = -2.5/-1 = -7.5/-3
This gives
k = 2.5
The value of k is the same for all input and output values
Hence, the table that represents a direct variation function is the table 3
Read more about direct variation at:
https://brainly.com/question/6499629
Y=|x| vertically stretched by a factor of 5