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3 years ago

3 1/3=5a Please answer I need it in a few minutes

Mathematics

1 answer:

vekshin13 years ago

8 0

Answer:

a=2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

3 1/3=5a

Step 1: Simplify both sides of the equation.

10/3=5a

Step 2: Flip the equation.

5a=10/3

Step 3: Divide both sides by 5.

5a/5= 10/3/5

a=2/3

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Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

4 0

3 years ago

PLEASE SOMEONE DO THIS IM RUSHING SO BAD AND IM CRYING - GIVING BRAINLIEST!!!!!

LUCKY_DIMON [66]

Answer:

1.) $1.07

2.) $2.25

3.) $14.20

Step-by-step explanation:

1.) Toonie = 2 CAD

CAD = USD $1.57

$1.57 - $0.50 = $1.07 (USD)

2.) $2.75 - $5 = $2.25 (USD)

3.) $20 x 4 = 80

$80 - $65.80 = $14.20 (USD)

Hope this helped!

8 0

3 years ago

Can you help me please

SIZIF [17.4K]

Answer:

a) 3

b) 15

c) 5

d) 9

e) 5

f) 2

Step-by-step explanation:

How you will put it in the box below:

3, 15, 5, 9, 5, 2

7 0

3 years ago

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Goshia [24]

Rate change is $3.50

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2 years ago

What is the image of (3,9) after a dilation by a scale factor of 3 centered at the origin

Sav [38]

Answer:

(9, 27 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3

(3, 9 ) → (3(3), 3(9)) → (9, 27 )

7 0

3 years ago

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