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mixer [17]
3 years ago
11

Y is inversely proportional to x.

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

y = \frac{k}{x} ← k is the constant of proportionality

To find k use the condition that y = 7, x = 9

k = yx = 7 × 9 = 63, thus

y = \frac{63}{x} ← equation of proportion

When x = 21, then

y = \frac{63}{21} = 3

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Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25
True [87]

Answer:

(6, - \frac{1}{2} )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = \frac{2}{-4} = - \frac{1}{2}

Solution is (6, - \frac{1}{2} )

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3 years ago
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A rhombus is a quadrilateral
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What is the radius of this circle?
alisha [4.7K]

Answer:

9

Step-by-step explanation:

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The length of one of the legs in a right triangle is
Lady_Fox [76]

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{c}^{2}  -  {b}^{2}  =  {a}^{2}

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\sqrt{279}  = 16.7 \: inches

7 0
3 years ago
NEED HELP ASAP. The pictures goes with the problems.
Studentka2010 [4]

Answer: m∠E=74\°

Step-by-step explanation:

1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:

O+M=180

3x+1+2x+4=180

2. Then, you must solve for x, as following:

5x+5=180

5x=175\\x=35

3. Substitute the value of x obtained into 2x+4 to calculate the angle M:

2x+4=2(35)+4=74

Then:

m∠M=74\°

4. By definition the opposite angles of a parallelogram are equal, therefore:

E=M\\E=74\°

5 0
3 years ago
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