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Vikki [24]
3 years ago
12

I will mark brainlest

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0
The answer is 1/4 or 0.25
Anna71 [15]3 years ago
3 0

Answer:

1 / 4 ( or ) 0.25

Step-by-step explanation:

Let the missing number be " x ".

12 . x = 3

x = 3 / 12

x = 1 / 4

( or )

x = 0.25

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Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
If y=1/2 when x=2, find y when x=3, given that y varies directly with x
Lelu [443]
\bf \qquad \qquad \textit{direct proportional variation}\\\\&#10;\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\textit{we also know that }&#10;\begin{cases}&#10;y=\frac{1}{2}\\&#10;x=2&#10;\end{cases}\implies \cfrac{1}{2}=k2\implies \cfrac{1}{4}=k&#10;\\\\\\&#10;\boxed{y=\cfrac{1}{4}x}&#10;\\\\\\&#10;\textit{when x=3, what is \underline{y}?}\qquad y=\cfrac{1}{4}\cdot 3
4 0
3 years ago
4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
mel-nik [20]

Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

8 0
2 years ago
A merchant has coffee worth $20 a pound that she wishes to mix with 70 pounds of coffee worth $90 a pound to get a mixture that
Dvinal [7]

Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.

Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.

So the mixture would be (x + 70) pounds.

And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.

She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.

We know that the value of mixture would be equal to her earnings.

30x + 2100 = 20x + 6300

30x - 20x = 6300 - 2100

10x = 4200

x = 420

So, 420 pounds of $20 coffee would be used.

7 0
3 years ago
Read 2 more answers
-129 = -48 - n <br> Thank you
Flauer [41]

−129=−48−n

Simplify:

−129=−48+−n

Flip the equation.

−n−48=−129

Add 48 to both sides.

−n−48+48=−129+48

−n=−81

Divide both sides by -1.

−n/−1  =  −81/−1

n=81


3 0
3 years ago
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