The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.
y= — x
Answers
Given:
The graph of a proportional relationship contains the point (8,4).
To find:
The corresponding equation.
Solution:
If y in directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
The graph of a proportional relationship contains the point (8,4).
Putting x=8 and y=4 in (i), we get
[tex]4=k(8)[/tex]
[tex]\dfrac{4}{8}=k[/tex]
[tex]\dfrac{1}{2}=k[/tex]
Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\dfrac{1}{2}x[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].
Related Questions
What is the scale factor of the dilation shown?
(Help please) geometry
Answers
please it’s due in 30 minutes i will give brainly
Answers
Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
Solve for y
y - 2 = 2x
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
Add two to both sides.
need help please show your work
find the missing angles of triangles
Answers
Answer:
angle: 71
x = -3
Step-by-step explanation:
step 1: 180-(55+54) = 71
step 2: x+74=71 (subtract 74 from both sides)
step 3: x=-3
step 4: -3+74=71
Identify the next three terms of the sequence below:
-6, -10, -14,...
Answers
Answer:
-18, -22, -26, -30
Step-by-step explanation:
add negative 4 each time
Do these ratios form a proportion 12/16 and 15/20
Answers
Answer:
This is a proportion
Step-by-step explanation:
Cross multiply:
12 * 20 = 16 * 15
Simplifying:
12 * 20 = 16 * 15
Multiply 12 * 20
240 = 16 * 15
Multiply 16 * 15
240 = 240
Add '-240' to each side of the equation.
240 + -240 = 240 + -240
Combine like terms: 240 + -240 = 0
0 = 240 + -240
Combine like terms: 240 + -240 = 0
0 = 0
Solving
0 = 0
Becky is using the expression 2z + 3 to represent the number of chairs in her classroom. There are twice as many chairs as tables, and there are three extra chairs in the back. What does z represent?
The number of chairs.
The number of tables.
The number of chairs at tables.
The number of chairs and tables.
Answers
Answer:
The number of chairs
Step-by-step explanation:
The equation is 2z + 3
2 ( = multiply by)
z ( # of chairs)
+3 ( the 3 extra chairs in the back)
Answer:
The number of tables
Step-by-step explanation:
Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.
Amanda saves $15 per week for her summer vacation. Write an equation that she can use to.Find S, her savings after W weeks
Answers
Answer:
S= 15W
Step-by-step explanation:
Given data
We are told that Amanda saves $15 per week for her summer vacation
Let her total savings be S
and the number of weeks be W
Hence the expression for her savings is
S= 15W
Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
$28,000
$28,000
$30,080
$30,080
$2,420
$2,420
$280
Answers
Evaluate the expression if b= 6 and c= 10.
5b/c
Answers
Answer:
=3
Step-by-step explanation:
5b/c
=5*6/10
=30/10
=3
Answer:
If b = 6 and c = 10, the value of an expression is 3.
Step-by-step explanation:
Given the expression
[tex]\frac{5b}{c}[/tex]
We have to evaluate the expression if b = 6 and c = 10.
Important Tip:
In order to evaluate the expression [tex]\frac{5b}{c}[/tex], all we need to do is to substitute the value of b and c in the expression.
As the expression is
[tex]\frac{5b}{c}[/tex]
substitute b = 6 and c = 10 in the expression
[tex]\frac{5b}{c}=\frac{5\left(6\right)}{10}[/tex]
[tex]=\frac{30}{10}[/tex]
[tex]=3[/tex] ∵ [tex]\frac{30}{10}=3[/tex]
Therefore, if b = 6 and c = 10, the value of an expression is 3.
PLEASE HELP i suck at math
What are the coordinates of the image of A(2, 5) after it is rotated
180° clockwise about the origin?
Answers
x is a whole number
Write down the smallest value of x that satisfies 3x > x + 7
Answers
Answer:
x= 6
Step-by-step explanation:
3x > x + 7
3(6) > 6 + 7
18 > 13
Hope this helps. Thank you !!
Answer:
it's 4 because if you multiply 3 and 4 it's 12. and 4 plus 7 is 11. making 4 the lowest
Please I need this
I will give Brainliest
Answers
Answer:
2
Step-by-step explanation:
Between what 2 consecutive numbers does the square root of 15 fall?
1. 15
2. 4
3. 16
4. 3
5. 14
6. 2
7. 5
Answers
Answer: In between 3 and 4
Step-by-step explanation:
Brainliest pllllzzzzz
BRAINLIEST PLEASE!!
Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
ASAP
Answers
Answer:
it will take flash a to flash 5 times and flash b to only flash 2 times
Step-by-step explanation:
just trust me
Factorise 3y^3-4xy+2y
Answers
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
A line passes through the point (-9,8) and has a slope of -4/3. Write an equation in point slope form for this line
Answers
Answer:
y-8=-4/3(x+9)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4/3(x-(-9))
y-8=-4/3(x+9)
Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?
Answers
Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question
[tex]-5+x(-2)=-19[/tex]
Where we taking 2 negative because temperature decreases.
[tex]-5-2x=-19[/tex]
[tex]-5+19=2x[/tex]
[tex]14=2x[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Hence, it will take 7 hours for the temperature to reach -19° F.
help please !!!!!!!!!!!!
Answers
Answer:
A & B
Step-by-step explanation:
TBH I was kind of getting that is was D, but follow your gut I just know its defiantly A
Answer:
a and b
Step-by-step explanation:
A piece of wire is 240 cm long.
Peter cuts two 45 cm lengths off the wire.
He then cuts the rest of the wire into as many 40 cm lengths as possible.
Work out how many 40 cm lengths of wire Peter cuts.
Answer:
Answers
Answer: 3
Step-by-step explanation:
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.
If b = 6.8 centimeters and c = 9.7 centimeters, what is the perimeter? If necessary, round to
the nearest tenth.
Answers
Answer:
P=23.4
Step-by-step explanation:
so using the pytogoren theroum
c2-b2= a2
so a= 6.9
so P= 6.9+6.8+9.7=23.4
if my answer helped please mark as brainliest.
If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.
Answers
Answer:
Step-by-step explanation:
tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn
what u think answer
Answers
What is the perimeter of each figure? I'm sorry-
Answers
Answer:
1. 4x + 10
2. 3x + 22
45% of the students at Mannion Middle School walk to school. If 234 students walk to school, how many students are at Mannion Middle School?
Answers
Answer:
520
Step-by-step explanation:
234=45%
26=5%
100/5=20
20X26=520
Answer:c520 is the answer your welcome! :)
Step-by-step explanation:
An expression is shown 7/4 - ?/7 = 1 1/28 What is the missing number?
Answers
Answer:
i pretty sure the missing number is 4
Step-by-step explanation:
what is -6=2x now i thought that i did not find a trustworthy answer on this site because all i got was the equation for the answer which is clearly not the answer at all now you should u[date your site more because people might actually use that on their paper and get 0 credit so your not really helping people here on this site
Answers
Answer:
nose inglés ay pa la próxima
x = -3
you just divide the 2 to the other side and -6/2=-3.
what is (-4)(-1)(-3)
Answers
Answer:
-12
Step-by-step explanation:
multiplication
Answer:
-12
Step-by-step explanation:
-4 x -1 x -3
4 x -3
=-12
I'm getting an answer but it doesn't make sense. I don't know WHAT I'M DOING WRONG. (I think x should be 3 and y should be 2 but I can't get that)
Answers
+2x +2x
8=3x-1
9=3x
x=3
-2(3)+8=y
-6+8=y
y=2
The perimeter of the square below is 116 m. What is the value of a?
5a +9
Answers
(5a+9)4=116
20a+36=116
20a=116-36
20a/20=80/20
a=4