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3 years ago

Is y=-9x proportional

Mathematics

2 answers:

Nookie1986 [14]3 years ago

6 0

Answer:

Proportional.

Step-by-step explanation:

We have been given that given an equation $y=-9x$ . We are asked to determine whether the given equation is proportional or not.

We know that two proportional quantities are in form $y=kx$ , where k is constant of proportionality.

We can see that our given equation is in form $y=kx$ , where $k=-9$ .

Therefore, the given equation is directly proportional.

icang [17]3 years ago

3 0

Yes, y=-9x is proportional

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Tatami mats are used as a floor covering in japan. One possible layout uses four identical rectangular mats and one square mat,

Maksim231197 [3]

a) Given

Total area = 81 feet squared.

Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

So, the area of the rectangular mat $= 2 x$ feet.

Now,

Total area = 81 feet squared

Then,

$4(2 x) + x = 81\\ \\ 9 x = 81\\ \\ x = \frac{81}{9}\\ \\ x = 9\\$

Hence the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

Then length of the mat = 2 y feet.

Area of the rectangle $= 2 y* y = 2 y^{2}$

and area of rectangle = 18 feet squared.

So,

$2 y^{2} = 18\\ y^{2} = 9\\ y= \pm3\\$

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

and length of the rectangular mat = 3*2 = 6 feet

8 0

3 years ago

if a lake has high alkalinity, what is closest to the probability that the lake also has a shallow depth?

never [62]

Answer:

0.22

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.

209/966 = 0.219

approximately 0.22

8 0

3 years ago

7(x + 4) + 5(x-6) please expand and simplify

Neporo4naja [7]

Answer:

12x − 2

Step-by-step explanation:

7(x+4)+5(x−6)

Distribute:

=(7)(x) + (7)(4) + (5)(x) + (5)(−6)

=7x + 28 + 5x − 30

Combine Like Terms:

=7x + 28 + 5x − 30

=(7x+5x) + (28−30)

= 12x − 2

8 0

3 years ago

Read 2 more answers

What is the commom difference in the following arithmetic sequence??

aalyn [17]

Each increases by a certain amount called the common difference

4.4-2.8=1.6
6-4.4=1.6
7.7-6=1.7
hmm, some error
maybe you meant 7.6

common difference is 1.6

answer is C

5 0

3 years ago

Need help sovling this for class

Reil [10]

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

- 10 · x + 1 + 7 · x = 37 Given
(- 10 · x + 7 · x) + 1 = 37 Associative property
-3 · x + 1 = 37 Distributive property/Definition of subtraction
- 3 · x = 36 Compatibility with addition/Definition of subtraction
x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

#SPJ1

4 0

2 years ago