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
Inga [223]
3 years ago
14

What is direct variation

Mathematics
2 answers:
makvit [3.9K]3 years ago
7 0
Direct variation means a <span>mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.</span>
umka2103 [35]3 years ago
6 0
Direct Variation<span>. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).</span>
You might be interested in
Can you add and subtract integers and surds together?
Ne4ueva [31]

Answer:

Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.

4 0
3 years ago
Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck
Nimfa-mama [501]
\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}
\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}

Now, isolate the variables, so you can integrate.
(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}
\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}
2y - \frac{y^{2}}{2} = sin^{-1}\frac{x}{\sqrt{2}} + \frac{1}{2}C


4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C
y^{2} - 4y = -2sin^{-1}\frac{x}{\sqrt{2}} - C
(y - 2)^{2} - 4 = -2sin^{-1}\frac{x}{\sqrt{2}} - C
(y - 2)^{2} = 4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C


y - 2 = \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}
y = 2 \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}

At x = 1, y = 0.
0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}
-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}

4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0
\therefore 2 = \sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}


4 = 4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C
0 = -2sin^{-1}\frac{1}{\sqrt{2}} - C
C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}
C = -\frac{\pi}{2}

\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}
6 0
3 years ago
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr
Papessa [141]
<span>Let the price (before tax) be x. The tax is 7% of x, so it is 0.07x. The price plus the tax add up to $45. x + 0.07x = 45</span>
4 0
3 years ago
Please Help ASAP!!!!!!
Vesna [10]
The answer is c (4, 1) because when you add 1 to the x value it moves right one and then when you subtract 3 from the y value it goes down 3 making it (4, 1)
8 0
4 years ago
Jim drank 2/5 of his water bottle and John drank 3/10 of his water bottle. How much did the both boys drink?
suter [353]
The boys drink 7/10 of a water bottle

1. Convert 2/5 into 4/10
2. Add 4/10 and 3/10
4 0
3 years ago
Other questions:
  • 2a2b3 and -4a2b3 are like terms.<br><br> True<br> False
    14·2 answers
  • What is 285.39154 rounded to the nearest hundredth
    5·2 answers
  • Ghost, Inc., has no debt outstanding and a total market value of $369,600. Earnings before interest and taxes, EBIT, are project
    7·1 answer
  • A farmer planted 2/5 of his forty acres in corn and another 3/10 of his land in wheat. Taken together, what fraction of the 40 a
    15·1 answer
  • 2. f(x) = 3(x - 2)2 + 6<br>a. Standard Form:​
    7·1 answer
  • What is the value of X ?
    14·1 answer
  • Can the absolute value of -4 be a negative number
    10·1 answer
  • Which answer best describes the shape of this distribution?
    12·2 answers
  • Porsche’s mom told her to choose 3 crayons out if a box of 64 what is the probability she will choose red yellow and blue?
    5·1 answer
  • Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!