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lapo4ka [179]
3 years ago
5

Find the constant of variation k for the direct variation.

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

k = \frac{2}{-1} = -2

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How do you solve this
Dmitriy789 [7]

By definition of the trig functions,

\sin30^\circ=\dfrac y{16}

\cos30^\circ=\dfrac x{16}

We have \sin30^\circ=\dfrac12, so y=8, and \cos30^\circ=\dfrac{\sqrt3}2, so x=8\sqrt3.

Just to check: we should have

x^2+y^2=16^2

by the Pythagorean theorem. Indeed,

8^2+(8\sqrt3)^2=4\cdot8^2=2^2(2^3)^2=2^8=(2^4)^2=16^2

6 0
4 years ago
What is the prime factorization for 50 using exponents?
galina1969 [7]

Answer:

Either way, it gives us the prime factorization for 50 that is 5 x 5 x 2. The prime factorization of 50 can be expressed using exponents as 5^2 x 2.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Delicious77 [7]

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

8 0
2 years ago
4. Caroline gets into a car accident. She is
Scrat [10]

Answer:

525,000 N

Step-by-step explanation:

Since Force is mass multiplied by acceleration, you have to create the equation 25000*21 m/s^2.

25000*21 = 525000

She hit the parked car with 525,000 Newtons of force.

7 0
3 years ago
3/5 of the pets in the animal shelter are dogs. There are 15 dogs at the shelter. How many animals are not dogs? HINT: Draw a ba
iren2701 [21]
3/5 of fifteen is 9 because that's the same as saying (3/5)*15 = (45/5) = 9. Since 3/5 animals are dogs, 2/5 aren't, and 15 - 9 leaves 6 animals that aren't dogs.
4 0
3 years ago
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