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3 years ago

What does the value of y have to be so that (3, y) and (-5,6) have a slope of -1 between them?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Answer:

y= -2

Step-by-step explanation:

Please see attached picture for full solution.

(From the 4th to 5th line, I multiplied both sides by 8)

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Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, mul

prisoha [69]

Answer:

l = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

l = length

w = l - 5/4

2l + 2(l - 5/4) = 11/4

2l + 2l - -5/2 = 1/4

multiply each side by 4

8l + 8l - 10 = 11

16l = 21

l = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

8 0

3 years ago

Find the major axis for the ellipse 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

What would the monthly payment be on an 8,600 car loan at 8.85% interest for a five year term

Ne4ueva [31]

Answer:

the monthly payment would be $86.00

Step-by-step explanation:

3 0

3 years ago

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204

grandymaker [24]

Answer:

$x+y=12$

$21.50x+14.75y=204$

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

$x+y=12$

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be $21.50x$ and cost of y children's ticket will be $14.75y$ . We can form the second equation by setting the total cost of tickets as: