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cestrela7 [59]
3 years ago
10

If y varies directly as x and y=32 when x=4. find the constant of variation​

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
The answer to the equation is 128
Llana [10]3 years ago
7 0

Answer:

k = 8

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

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Factor the polynomial expression x^4+18x^2+81
Vikentia [17]

Answer:

Step-by-step explanation:

Hello,

please consider the following

x^4+18x^2+81=(x^2)^2+2*(3^2)x^2+(3)^4\\\\=(x^2+9)^2

hope this helps

4 0
3 years ago
I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0
3 years ago
Read 2 more answers
Find the area of each polygon. Write the
zimovet [89]
The answer to this hard equation of Thai hard problem of this impossible thing the answer is 3
3 0
3 years ago
How many solutions doe
musickatia [10]

Answer:

Given equation have two solutions.

x = -\frac{5}{2} and -\frac{8}{3}

Right option is (D)

Step-by-step explanation:

We have given,

6x^{2} +40=-31x

we can rewrite this equation in the form given as:

6x² + 40 + 31x = 0

or 6x² + 31x + 40 = 0

On solving this quadratic equation, we get :

x = -\frac{5}{2} and -\frac{8}{3}

That means, given equation have two solutions.

Right option is (D)

8 0
3 years ago
Read 2 more answers
How do I graph this?
Natasha_Volkova [10]

Answer:


Step-by-step explanation:

you're going to have a vertical line at -1, and then shade the region to the left. The line should be dashed, not solid.

3 0
4 years ago
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