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2 years ago

The value of y varies directly with x, and when x=8, y=2. Write an equation to represent the direct variation.

Mathematics

2 answers:

sdas [7]2 years ago

7 0

Answer: y=1/4x

Step-by-step explanation:

Direct variation looks like this y=kx divide 8 and 2 that will give you 4. Since there is no numerator add a one at the top.

Citrus2011 [14]2 years ago

6 0

Answer:

y=1/4x

Step-by-step explanation:

a direct variation equation is y=kx. if y=1/4x, then when x=8, y=2.

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2+34-8+23-22hhhuh<br> yanelzi

guapka [62]

Answer:

Step-by-step explanation:

7 0

3 years ago

Can someone simplify pls

algol [13]

we are given to simplify

$\\ \ (x^6y^5)(5xy^2)(-6x^4)\\ \\$

Open the bracket and write the like terms together

$\\ \ =x^6y^5*5xy^2*(-6)x^4\\ \\ \ =-30x^6*x*x^4*y^5*y^2\\ \\$

when the bases are same then the exponents gets added

$\\ \ =-30x^{6+1+4}y^{2+5}\\ \\ \ =-30x^{11}y^7$

8 0

2 years ago

Read 2 more answers

Ann [662]

1) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum simple interest after 6 years are <u>R25,400</u> and <u>R5,400</u> respectively.

2) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum compound interest after 6 years are<u> R26,045.20</u> and <u>R6,045.20</u> respectively.

<h3>Data and Calculations:</h3><h3>Simple Interest:</h3>

Principal = R20,000

Investment period = 6 years

Interest rate = 4.5%

Simple interest for 6 years = R5,400 ($20,000 x 6 x 4.5%)

Principal + Interest = R25,400 (R20,000 + R5,400)

<h3>Compound Interest:</h3>

Principal = R20,000

Investment period = 6 years

Interest rate = 4.5%

N (# of periods) = 6 years

I/Y (Interest per year) = 4.5%

PV (Present Value) = R20,000

PMT (Periodic Payment) = R0

<u>Results</u>:

FV = R26,045.20

Total Interest = R6,045.2

Learn more about simple and compound interests at brainly.com/question/3575751

#SPJ1

8 0

1 year ago

Which polar coordinates represent the same point as (4, −π/2)

marin [14]

You can go full 2π rotate around counterclockwise so the angle wouldn't be negative.

So -π/2 + 2π = -π/2 + 4π/2 = 3π/2

So (4, 3π/2) is the same point as (4, -π/2)

7 0

2 years ago

Analyze the diagram below and complete the instructions that follow.

lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

$\displaystyle x=2\sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

$\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}$