Given:
The equation for the direct variation is
[tex]4x=-y[/tex]
To find:
The constant of variation k for the direct variation.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is constant of variation or constant of proportionality.
We have,
[tex]4x=-y[/tex]
It can be written as
[tex]-y=4x[/tex]
Multiply both sides by -1.
[tex]y=-4x[/tex] ...(ii)
On comparing (i) and (ii),we get
[tex]k=-4[/tex]
Therefore, the correct option is D.
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest form. im in 5th HELP ME
Answer:
12 = 4
15 5
Step-by-step explanation:
12 ÷3= 4
15 ÷3= 5
:)
50 points! Find the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3). Random answers will be reported guys
Answer:
the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3).
={(-6-3-0)/3,(8+1+3)/3}=(-3,4)
Answer:
( - 3, 4 )
Step-by-step explanation:
The centroid of a triangle is the intersection of the three medians of the triangle.
A ( - 6, 8 )
C ( 0, 3 )
Coordinates of the midpoint of AC are D( - 3, 5.5 )
Median BD is x = - 3
Coordinates of midpoint of BC are E( - 1.5, 2 )
[tex]m_{AE}[/tex] = - [tex]\frac{4}{3}[/tex]
Equation of median AE is y = - [tex]\frac{4}{3}[/tex] x
Solve system of equations:
y = - [tex]\frac{4}{3}[/tex] x and x = - 3
( - 3, 4 ) are coordinates of the centroid of the Δ ABC
PLEASE HELP ASAP!
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.
Part A
Drag numbers to complete a system of equations to represent the situation, using g for number of games and c for cost. Numbers may be
used once, more than once, or not at all.
Answer:
Here hopes this helped..Step-by-step explanation:
PLEASE PELASE PLEASE HELP ME
Answer:
In ∆ABC AND ∆DEF
ABC=DEF...........each 90°
SIDE AB =SIDE ED...........given
SIDE BC =SIDE EF............B-F-C and E-C-F
∆ABC =∆DEF....................by SAS test
solutions to this quadratic
F(x) = x^2 + x - 2
Answer:
x = -2 & x = 1
Step-by-step explanation:
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novels to comic books?
Answer:
4:21
Step-by-step explanation:
since she read 4 sci-fi novels and 21 comic books, you put 4:21.
The polynomial of degree 3 3 , P ( x ) P ( x ) , has a root of multiplicity 2 2 at x = 1 x = 1 and a root of multiplicity 1 1 at x = − 1 x = - 1 . The y y -intercept is y = − 0.8 y = - 0.8 . Find a formula for P ( x ) P ( x ) . P ( x ) =
Answer:
A formula for P(x) is;
P(x) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
Step-by-step explanation:
The given parameters of the polynomial are;
The degree of the polynomial = 3
The multiplicity of the root at x = 1 is 2
The multiplicity of the root at x = -1 is 1
The y-intercept is y = -0.8
Therefore, we have to find the formula for the three degree polynomial;
The factors of the three degree polynomial are (x - 1)², and (x + 1)
Multiplying the factors together, we get;
(x - 1)²×(x + 1) = x³ - x² - x + 1
f(0) = -0.8, therefore, we get;
P(x) = -0.8 × (x - 1)² × (x + 1) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
The required polynomial is;
P(x) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
define Multiplication Property Of equality
Answer:
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. Example 1 : Lisa and Linda have got the same amount of money.
Step-by-step explanation:
The graph shows a proportional relationship between
the variables x and y.
A. Write an equation to model the relationship
B. Explain how you know if an equation or a graph
represents a proportional relationship.
Step-by-step explanation:
Equation: y = 12x + 0
Explaination: A proportional relationship is one in which two quantities vary directly with each other. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Describe two ways to find the distance between two points in a
coordinate plane.
What is the volume of the rectangular prism? 64 in3 128 in3 256 in3 512 in3
Answer:
15.7315814 liters
Step-by-step explanation:
Answer:
Its 256 in 3
Step-by-step explanation:
sorry if im wrong.
Find the product of (2x + 5y)2. (2 points)
In ΔLMN, the measure of ∠N=90°, MN = 5 feet, and LM = 7.3 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answer:
6.9
Step-by-step explanation:
Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1.25 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Aaliyah's total pay on a day on which she sells xx computers. Answer: P=
Answer:
p=70+1.25x
Step-by-step explanation:
Answer:
P=1.25x+70
Step-by-step explanation:
So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:
P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.
P=1.25+70
wht are y'all doing
Suppose that a Ferris wheel is 40 feet in diameter, rotates counterclockwise, and when a passenger
car is at the bottom of the wheel it is located 2 feet above the ground. What is the maximum height?
A. 40
b. 42
c.38
d.50
what is the original price if the percent of the discount is 15% and the sale price is $146.54
Answer:
$976.93
Step-by-step explanation:
so if the sale price is 146.54 and the discount is 15% then divide 146.54 by 15% or .15.
HOW TO CONVERT A REPEATING DECIMAL TO A FRACTION (0.5454545454)
PLEASE SHOW YOUR WORK AND EXPLAIN THIS
Answer:
6/11
Step-by-step explanation:
let r be 0.54545454
multiply both sides by ten
10r = 5.4545454
since after the decimal point the digits between r and 10r are nor equal, we multiply again both sides by ten
100r = 54.54545454
since the digits after the decimal point between r and 100r are equal, we subtract the two
100r - r = 54.54545454 - 0.54545454
99r = 54
divide both side by 99
99r/99 = 54/99
through further simplification
r = 6/11
Pls answer asap, brainilest will be given to best answer, and best explanation.
Answer:
it should be D
Step-by-step explanation:
because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x
Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.
What is Jennifer height in inches
A: 40in
B : 44in
C: 64.5in
D 58.5in
Answer:
Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.
What is Jennifer height in inches
A: 40in
B : 44in
C: 64.5in
D 58.5in
The answer is 44in(B)
Step-by-step explanation:
Hope this helps :D
Please Help me Please please please
Answer:
The answer is,
(8+2+6) ft = 16 ft
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Solve this system by graphing. Include your graph on your work upload.
2x + y = 3
y = x - 3
Which point is the solution?
Group of answer choices
(-1, 2)
(2, -1)
(1, -2)
(-2, -1)
Answer:
(2, -1)
Step-by-step explanation:
The lines intersect at (2,-1), I graphed out the equations
Solve the system of equations by graphing to find the solution y=3x-4 y= 1/2x+3
HELP PLS
Answer:
Here you go A. x=4/3 B. x=6
80% of the 30 girls at the party wanted to dance with Josh. How many girls wanted to dance with Josh?
Answer:
24 girl wanted to dance with Josh
Answer:
24
Step-by-step explanation:
30÷10=3 (10%)
3x8= 24
Two jogger run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
If they travel the shortest distance back. How many total miles did the joggers go?
Answer:
zkxlllllllllllllllllllllllll
Step-by-step explanation:
Answer:a² + b² = c²
c² = 8² + 5²
c² = 89
c = √89
c = 9.4 miles
Step-by-step explanation:
Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A.
42 − 33
B.
33 + 42
C.
4 − 33
D.
33 − 42
E.
32 − 43
Answer:
The answer is D. 33-42
Step-by-step explanation:
Because it says that Alia got 42 fewer jelly beans than Kelly did so you would do 33-42.
It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult and one child to attend the show? Set up and solve a system of equations using substitution.
Answer:
For one adult it costs $15
For one child it costs $10
Step-by-step explanation:
So..
One adult = $15
Two children = $20 10×10
= $35
Then..
Two adult = $30 15×15
Three children = $30 10×10×10
= $60
Plz mark brainliest thanks
please help, question is in the picture
Answer:
i would choose C.. but i could be wrong.
Step-by-step explanation:
witch is the simplified form of the expression? 14n- 1/4 (8 +12)
12n- 3
12n + 12
10n-3
2n + 3
Find the product of (3x + 7y)(3x - 7y). (2 points) PLEASE I NEED THIS NOW
Answer:
(3x +7y)(3x-7y)
3²x²-21xy+21xy-7²x²
3²x²-7²y²
9x²-49y²