Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:
This is from Khan academy. I'm stuck on it
Answers
Answer:
A and B has the same constant of proportionality
Step-by-step explanation:
\(y \propto x\)
\(y = kx ----1\)
Where k is the constant of proportionality
We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation \(y=\frac{1}{2}x\)
On comparing with 1
\(k = \frac{1}{2}\)
A)6y = 3x
\(y = \frac{3}{6}x\\y = \frac{1}{2}x\)
So, this equation has the same constant of proportionality
B)\((x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)\)
To find the equation :
Formula : \(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
So, \(y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x\)
So, this equation has the same constant of proportionality
C)
\((x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)\)
To find the equation :
Formula : \(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
So, \(y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x\)
So, this equation do not has the same constant of proportionality
D)
\((x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)\)
To find the equation :
Formula :\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
So, \(y - 1=\frac{2.5-1}{3-2}(x-2)\)
\(y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2\)
So, this equation do not has the same constant of proportionality
Hence A and B has the same constant of proportionality
Options A and B has the same constant of proportionality.
What is Slope of 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 slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
For option A,
6y=3x
y=3/6x
y=1/2x
This equation has the same constant of proportionality
For Option B
(2,1) and (4,2)
m=2-1/4-2=1/2
We have equation as y-y₁=m(x-x₁)
y-1=1/2(x-2)
y-1=1/2x-1
y=1/2x
this equation has the same constant of proportionality
For option C
(1,2) and (2,4)
m=4-2/2-1=2
We have equation as y-y₁=m(x-x₁)
y-2=2(x-1)
y-2=2x-2
y=2x
Equation do not has the same constant of proportionality
and option D does not have same constant of proportionality
Hence options A and B has the same constant of proportionality.
To learn more on slope of line click:
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Related Questions
Under which angle conditions could a triangle exist? Check all that apply.
3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
O
Answers
Answer:
3 acute angles.
2 acute angles, 1 right angle.
2 acute angles, 1 obtuse angle.
Step-by-step explanation:
The 3 angles in a triangles add up to 180 degrees.
Acute angles are < 90 degrees.
A right angle = 90 degrees,
Obtuse angles are > 90 degrees.
Answer:
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Or 1, 2 , 5
Step-by-step explanation:
Write the equation of the line in slope-intercept form using y=mx+b
Answers
Answer:
y= -100 x= 100
Step-by-step explanation:The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a. The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.
Answer:
lol
Step-by-step explanation:
ysah mgm lol shh no auto corre
Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Graph the linear equation,find three points that solve the equation,then plot on the graph. -4y=x-18
Answers
Answer:
Step-by-step explanation:
The equation given to us is:
-4y = x-18
y = (x-18)/-4
Substitute x = 0:
y = (0-18)/-4
y = 4.5
Substitute x = 18
y = (18-18)/-4
y = 0
Substitute x= -18
y = (-18-18)/-4
y = -36/-4
y = 9
The three points found are (0,4.5), (18,0), (-18,9)
Graph all three point onto the coordinate plane.
Join all three point with a line, and extend the line.
The line shows the graph for -4y=x-18
Answer:
(-6,3) (-2,4) (2,5)
Step-by-step explanation:
x-2y=-4,:x=2y-4 Find the value of x and y
Answers
Answer:
x=-4+2y
x= 2y-4
y=-2+2x
y=2x+2
Step-by-step explanation:
lets start with x
x-2y=-4
x=-4+2y
x=2y-4
now y
x-2y=-4
2y=-4+x
y=-2+2x
x=2y-4
2y=x+4
y=2x+2
An albatross is a large bird that can fly 400 kilometers in 8 hours at a contant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d = 50t.
What are two constants of proportionality for the relationship between distance and hours?
An albatross is a large bird that can fly 400 kilometers in 8 hours at a contant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d = 50t.
What are two constants of proportionality for the relationship between distance and hours?
50
50/d
50/1
1/50
Answers
Answer:50
Step-by-step explanation:
50 is constant of proportionality
Is it more difficult to run up a ramp with a slope of \(\frac{1}{5}\) or a ramp with a slope of 5?
Answers
Answer:
It is more difficult to run up a slope of 5
Step-by-step explanation:
Answer:
It is more difficult to run up a ramp with a slope of 5
Step-by-step explanation:
a slope of 1/5 is easy to run up; but a slope of 5 is not.
example: 1/5 of an inch is much shorter than 5 inches.
Sam needs
5
-
6
cup mashed bananas and
3
-
4
cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries.
How can he write
5
-
6
and
3
-
4
as a pair of fractions with the smallest common denominator?
Answers
Answer:
Step-by-step explanation:
10/12 and 9/12. he needs more bananas than strawberries
what is 3÷11=
A. 11/3
B. 3/11
C. 3/8
D. 8/3
Answers
Answer:
B. 3/11
Step-by-step explanation:
the division symbol: ÷ essentially is the same as /
if you replace ÷ with / its the same thing.
Answer:
my answer is B. 3/11
Step-by-step explanation:
which is =27.27%
pls if correct please mark me as Brainliest Answer please
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Write your answer as a decimal or a whole number.
Answers
Answer:
122/2=61mph
96/1.5=64mph
3 mph more
Answer:
3 Miles
Step-by-step explanation:
What is the value of s in the equation 7 = -10s - 3?
Answers
Answer:
s = -1
Step-by-step explanation:
7 = -10s - 3
==> add 3 to both sides
10 = -10s
==> divide both sides by -10
-1 = s
Answer:
s = -1Step-by-step explanation:
What is the value of s in the equation 7 = -10s - 3?
7 = -10s - 3
10s = -3 - 7
10s = -10
s = -10 : 10
s = -1
---------------
check
7 = -10 * (-1) - 7
7 = 10 - 7
7 = 7
the answer is good
First Question: Screenshot the following image and attach a photo after you dilate by a scale factor of 2.
Second Question: Screenshot the following image and attach a photo after you dilate by a scale factor of 1/3.
Please help! If you help with this please do my other questions!! (They are very similar!)
Answers
Answer: See in the explanation, screenshot attached
Step-by-step explanation:
SQUARE QRTS
Step 1: Label all of the coordinates
Step 2: Find the coordinates of the points
Q: (-2, 1)
R: (2, 1)
T: (-2, -2)
S: (2, -2)
Step 3: Know what it means to dilate
To dilate is to make a shape bigger or smaller. For example, when it says to dilate by a scale factor of 2, you multiply each coordinate by 2 to get coordinate pairs that are twice the original amount (in this case you make it bigger). However, if it says to dilate by a scale factor of a fraction, for example 1/2, you'd multiply the coordinates by 1/2 and hence make it smaller (1/2 its size).
Step 4: Dilate by a scale factor of 2--multiply by 2
*x stands for the x coordinate, and y stands for the y coordinate*
Q: -2, 1
x: -2x2= -4
y: 1x2= 2
[Dilated] Q: -4, 2
R: 2, 1
x :2x2= 4
y: 1x2= 2
[Dilated] R: 4, 2
T: -2, -2
x: -2x2= -4
y: -2x2=-4
[Dilated] T: -4, -4
S: 2, -2
x: 2x2= 4
y: -2x2= -4
[Dilated] S: 4, -4
Step 5: Plot the new pairs
(See screenshot)
SQUARE ABCD
Step 1: Label all the coordinates
Step 2: Find the coordinate pairs of the points
A: -3, 3
B: 3, 3
C: 3, -3
D: -3, -3
Step 3: Remember what it means to dilate
(See 1st explanation)
Step 4: Dilate by a scale factor of 1/3
**Since 1/3 is a fraction, we are making the square smaller, or making it ⅓ of its original size. You will see that the numbers of the coordinates get smaller once you dilate them.**
A: -3, 3
x: -3x1/3= -1
y: 3x1/3= 1
[Dilated] A: -1, 1
B: 3, 3
x: 3x1/3 = 1
y: 3x1/3= 1
[Dilated] B; 1, 1
C: 3, -3
x: 3x1/3= 1
y: -3x1/3= -1
[Dilated] C: 1, -1
D: -3, -3
x: -3x1/3= -1
y: -3x1/3= -1
[Dilated] D: -1, -1
Step 5: Plot the new pairs
(see screenshot)
Hope this helps :))
Also I worked pretty hard on this so brainiest would be appreciated :D
Ok, I'm having trouble with this question. I'm very bad at math and I find it difficult If u do answer please try to give an explanation that a person with ADHD can understand.
Answers
You add the whole numbers first (not the fractions) which ends up being 55
Then you add the fractions. The number on the bottom (9) stays the same and you add the ones on the top , so 2+4 = 6 so it’s 6 over 9
Answer:
55 6/9 is your answer.
Step-by-step explanation:
32 2/9 + 23 4/9 = 55 6/9.
PLZ HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
125
Step-by-step explanation:
What's 1+2=??? please
Answers
Answer: 3
Step-by-step explanation:
why
Answer: 3
Step-by-step explanation: the answer is 3 because 1+1=2 so you would add one a 1 so it’s like this 1+1=2+1=3 :)
The difference between two numbers is 6, and 5 times the smaller number is 3 times the larger number. Find the smaller number.
Answers
Answer: 9
Step-by-step explanation:
45/3=15
45/5=9
15-9=6
Large Number=15
Small Number=9
9514 1404 393
Answer:
9
Step-by-step explanation:
Let x and y represent the two numbers, with y being the smaller.
x - y = 6 . . . . . . difference is 6
3x = 5y . . . . . . . 3 times the larger is 5 times the smaller
Use the first equation to write an expression to substitute for x:
x = y + 6
3(y +6) = 5y
18 = 2y . . . . . . .subtract 3y and collect terms
9 = y
The smaller number is 9.
1.42118863049 rounded to the nearest cent cant figure it out plz help ty :)
Answers
Answer:
1.4
Step-by-step explanation:
5 and above bump him up
4 and below, let him go
-
2 is below 4, so we dont round up. therefore it stays as 1.4 :))
1.4
Explanation:
1 is the whole number. The next number which is the 4 is called a tenth. The next number (2) is in the hundredths place. It lower than 5 so it would wouldn’t round up.
You deposit $575 into a savings account that earns 4.6% interest compounded annually. Find the new balance of the account after 4 years. Round your answer to the neartest cent.
You earned a simple interest of $375 after 30 years. If the account started with $500, what is the rate?
You deposit $575 into a savings account that earns 4.6% interest compounded annually. Find the new balance of the account after 4 years. Round your answer to the neatest cent.
Answers
When Connor was 16, he bought his first car. It had 1.67 x 10^5 miles on it. Connor is now 55 and wants to buy his dream car. He wants a
new car or a used one with low miles. The car he ends up buying has 4.35 x 10^3 miles.
How many times greater were the miles on his old car than his new car? Round to the nearest whole number.
explanation too please!
Answers
Answer:
4350
Step-by-step explanation:
First,we do 10^3
10 x 10 x 10
100 x 10
1000
Then we bring down
4.35 and we multiply it by 1000
And Last, we get
4350 as the answer
The miles on Connor's old car were 39 times greater than the miles on his new car.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
To solve this problem, we need to divide the number of miles on Connor's old car by the number of miles on his new car and round the result to the nearest whole number.
The number of miles on Connor's old car is 1.67 x 10⁵ miles and the number of miles on his new car is 4.35 x 10³ miles, so the number of times greater the miles on his old car are than his new car is:
(1.67 x 10⁵ miles) / (4.35 x 10³ miles) = 38.6
Rounded to the nearest whole number, this is 39.
Therefore, the miles on Connor's old car were 39 times greater than the miles on his new car.
Learn more about the distance here:
brainly.com/question/13269893
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Mark donated 15% of the money he earned last summer to the hurricane relief fund. If he donated at total of $475.00 how much did he earn last summer? (if needed, round your answer to the nearest cent)
Answers
4.5 multiplied by x = 81. what represents x?
Answers
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
HELP ASAP
select all the statements about the graphs of functions g(x) = -1/4x^2 and f(x) = 2x that are true
A. f and g have the same x-intercepts
B. f and g have the same end behavior
C. f and g have the same domain
D. f and g have symmetry about the origin
E. f and g have the same y-intercepts
SELECT ALL THAT APPLY
Answers
B. f and g have the same end behavior (False)
C. f and g have the same domain (True)
D. f and g have symmetry about the origin (True)
E. f and g have the same y-intercepts (False)
So the correct options are C and D.
Drag the numbers into the boxes to show the product of 0 . 24 × 13 . Numbers may be used more than once. 0 1 2 3 4.
Answers
Answer:
9.38
pls give brainliest
Step-by-step explanation:
ASAP PLEASE!!!
Simplify: 8 √y^2
Answers
Answer:
4√ y
.......................
That should be the right answer
Please look at the photo
Answers
Answer:
Loren's work is not correct because you are originally dividing by 61.4. In the division problem, they moved the decimal point to the right and did the same to the problem inside of the division symbol to make it easier. After you would finish doing all the division, you would count the amount of spaces behind the decimal point and put the decimal point that many spaces in the answer. Loren forgot to count the decimal point that you moved right at the beginning. To summarize, Loren forgot the decimal point you moved at the beginning and Maddie is correct.
Step-by-step explanation:
look at the PDF and help plz
Answers
Can someone help asap I will make you the brainliest
Answers
Answer: P = 3a
Step-by-step explanation:
3(4x - 8)
12x-24
12x = 24
x = 24/12
x=2
3(4X2 = 8 - 8)
3(0)
0
Bryan started to evaluate a decimal expression.
2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2
2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2
What will be the next step?
Answers
Answer:
division of 16 by 3.2
Step-by-step explanation:
2.5(4^2 ÷ 3.2 – 10(0.2) + 3)– 5.2
2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2
Next, he will perform multiplication and division inside parentheses, left to right.
2.5(5 – 10(0.2) + 3) – 5.2 . . . . . Bryan's next step
2.5(5 – 2 + 3) – 5.2
Then, he will finish evaluating inside parentheses by performing addition and subtraction left to right.
2.5(3 + 3) – 5.2
2.5(6) – 5.2
With parentheses evaluated, now we do multiplication and division, left to right.
15 – 5.2
Finally, addition and subtraction left to right.
9.8