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2 years ago

Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

6 0

Answer:

$y + 5 =- \frac{1}{4} (x-4)$

Step-by-step explanation:

You will find the slope-intercept form first, and then you can find the point slope form of the equation

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Keith recommends ordering 305 gray t-shirts and selling each t-shirt for $20. What is the financial risk of Keith’s recommendati

kap26 [50]

Answer:

do not sell them

Step-by-step explanation:

bc i alredy did

8 0

2 years ago

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

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8 0

2 years ago

ritu can row downstream 20km in 2 hrs and upstream 4km in 2 hrs. find the speed of rowing in still water and the speed of the cu

Marina CMI [18]

Answer:

Speed of boat in still water is 6km/h

Speed of current is 4km/h

Step-by-step explanation:

We know speed = distance / time

Let the speed of boat in still water be x

Let the speed of current be y

Hence the speed of boat, down stream = $x+y$

Distance downstream = 20km

Time taken = 2 hours

We have

$x+y=\frac{20}{2}$

$x+y=10$ ......(1)

Speed of boat upstream = $x-y$

Distance upstream = 4

Time taken = 2

We have

$x-y=\frac{4}{2}$

$x-y=2$ ...(2)

Adding (1) & (2)

$2x=12$

$x=6$

Substituting in (1) we get

$y=4$

7 0

3 years ago

preciso responder essa questão rapido ja tentei de varias formas e nao consegui então vim buscar ajuda espero que olhem e respon

Airida [17]

Answer:

1/ 14336

..... ..... ...... ......

3 0

3 years ago

Julia went to the grocery store and purchased cans of soup and frozen dinners. Each

Troyanec [42]

Answer:

2f =c

350c + 500f = 4800

Step-by-step explanation:

Twice as many cans of soup as frozen dinners

All food combined contain 4800 (mg of sodium)

2f =c

350c + 500f = 4800

These are the systems of equations.

8 0

2 years ago