1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
3 years ago
12

The graph of an equation representing a direct variation passes through the point (6, 10). Give another point with integral coor

dinates that is also on the graph of this equation.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{6},\stackrel{y}{10})\qquad \textit{we know that } \begin{cases} x=6\\ y=10 \end{cases}\implies 10=k6\implies \cfrac{10}{6}=k\implies \cfrac{5}{3}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{5}{3}x}

to get another point, we simply can pick a random <u>independent variable</u>, namely "x", say hmmmm x = 9, thus

\bf y=\cfrac{5}{3}(\stackrel{\stackrel{x}{\downarrow }}{9})\implies y=5\cdot \cfrac{9}{3}\implies y=10~\hspace{7em}\boxed{(9, 10)}

You might be interested in
9p- 18=27 what is p?
kozerog [31]

Answer:

p = 5

Step-by-step explanation:

4 0
3 years ago
Mrs Shakya sold a jewellery at a loss of 5%.If she had sold it at Rs,5200 more she would have gained 8% .Find the cost price of
Georgia [21]

Answer:

40,000

Step-by-step explanation:

Given that:

Percentage Cost price of jewelry = 100%

Jewelery was sold at loss of 5% = (100%- 5%) = 95%

If sold at 5200 more ; profit made = 8%

That is ; (100% + 8%) = 108%

Difference between loss percentage and profit percentage = change in price sold

(108% - 95%) = 5200

13% = 5200

If ;

0.13 = 5200

The percentage cost price = 100% will be;

0.13 = 5200

1 = x

0.13x = 5200

x = 5200 / 0.13

x = 40,000

6 0
3 years ago
Please help!!!
labwork [276]
Y=5x+7 is the answer i think
6 0
3 years ago
Please help quickly it is due in 38 minutes
Furkat [3]
ANSWER ………………….____________

3 0
3 years ago
Read 2 more answers
ASAP please help me
lesya692 [45]
So his lawn can be divided into 4 shapes: 1 rectangle, 2 triangles, and an irregular shape. So you get the area of the rectangle which is 48*120=5,760.

For the part above the rectangle, you can see that the 2 triangles and the irregular shape make one large triangle so take the area of that. (I’m going to refer to this as the BIG triangle).
.5*40*120=2,400
The base of the triangle is equal to the base of the rectangle. The height of the triangle you get by subtracting the height of the WHOLE lawn by the height of the rectangle. (88-48=40).

Inside that large triangle made up of three shapes, you can see another triangle that’s made up of one triangle and the irregular shape. I’ll refer to this triangle as triangle 1.
Take the area of that triangle.
.5*25*75=937.5
The base of the triangle you get by adding the base of the smaller triangle and the irregular shape. (51+24=75)

Inside the triangle you just took the area of (triangle 1) is another triangle (which I’ll refer to as triangle 2). Take the area of triangle 2.
.5*51*17=433.5

Subtract the area of triangle 1 by the area of triangle 2 and that’ll give you the area of the irregular shape.
937.5-433.5=504

So now you add the areas of the BIG triangle and the rectangle.
5760+2,400=8160
Make sure you subtract the irregular shape since it isn’t part of the lawn’s area.
8160-504=7656

So the lawn is 7656 square feet. Multiply it by .005. That equals 38.28. That’s how much fertilizer he needs to use.

Multiply 1.25 to 38.28 to get the amount of money he needs to spend.

47.85 dollars

I might’ve made a few mistakes but I hope my reasoning was at least understandable

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me . There is the picture
    12·1 answer
  • Use the Venn diagram to calculate probabilities.
    13·2 answers
  • Classify 4x^5+2x^4-5x^3+12 by number of terms
    13·2 answers
  • Find all possible values of k so that x^2 + kx - 32 can be factored.
    9·1 answer
  • If you know that a line has a slope of 1/2 and a y-intercept of 7.What is the equation for that line in slope form?
    10·1 answer
  • Need help<br> A)they are corresponding angles<br> B)right angles<br> C)not related
    12·2 answers
  • Which of the following shows the correct order of the numbers?
    11·1 answer
  • Please help me with this math problem i would greatly appreciate it!
    8·2 answers
  • En la función cuadrática , realiza los siguientes pasos:
    11·1 answer
  • How many perfect cube divisors does 160,000 have?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!