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Galina-37 [17]
4 years ago
15

How to classify this conic ecwation 4x^2+9y^2-54y-63=0

Mathematics
1 answer:
MArishka [77]4 years ago
6 0
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
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How do you solve 1/2x<13?
Alisiya [41]
You need to get x alone on one side. You need to divide 1/2 on both sides which makes 13 a 26. x<26
4 0
3 years ago
Create a scenario that leads to an inequality of the form ax + b &gt; c. You can use any of the inequality symbols (&gt;, ≥, &lt
Ann [662]

Answer:

5x +3y>-15

5(0)+3(0)

0+0=   0 > -15

Step by step explanation

We have to create a scenario that leads to an inequality of the form ax + b > c.

Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.

The required inequality is

Subtract 20 from both sides.

Divide both sides by 10.

It means the number of rides must be greater than 8.

6 0
3 years ago
Read 2 more answers
Is 5 1/2 yds greater than 192 ins?
iren2701 [21]

Answer:

no

Step-by-step explanation:

there is 12 inches in a foot

there are 3 feet in a yard

3 x 12 = 36 in in a yard

36 x 5 1/2 is 198

198 is greater than 192

6 0
3 years ago
Use order of operation
Inessa [10]
(6+23)=29
(32-25)=7
(29)x(7)+(7x7)
203+49= 252
the answer is 252
6 0
4 years ago
Help what are the answers im so stuck!
AnnZ [28]

Answer:

  see below

Step-by-step explanation:

A percentage change is computed as follows:

  percent change = ((new value) -(original value))/(original value) × 100%

For your first one, this looks like ...

  percent change = ($25 -$75)/$75 × 100% = (-50/75) × 100% = -0.667×100%

  percent change = -66.7%

__

When there are a lot of similar calculations to do, I like to use a spreadsheet. See below for the other percentage changes (rightmost column).

4 0
3 years ago
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