Classify the triangle by its sides.

Answer:

Step-by-step explanation:

Given that:

The differential equation; [tex](x^2-4)^2y'' + (x + 2)y' + 7y = 0[/tex]

The above equation can be better expressed as:

[tex]y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0[/tex]

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

[tex]p(x) = \dfrac{(x+2)}{(x^2-4)^2} \[/tex]

[tex]p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \[/tex]

[tex]p(x) = \dfrac{1}{(x+2)(x-2)^2}[/tex]

Also;

[tex]q(x) = \dfrac{7}{(x^2-4)^2}[/tex]

[tex]q(x) = \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

[tex]\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}[/tex]

[tex]\implies \dfrac{1}{16}[/tex]

[tex]\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}[/tex]

[tex]\implies \dfrac{7}{16}[/tex]

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

Answer:

1

Step-by-step explanation:

any number to the power 0 is 1

Answer:

1

Step-by-step explanation:

Answer:

X=19

Step-by-step explanation:

7x-8=6x+11

x=19

Answer:

his mistake is that he switched 7 and 12

Step-by-step explanation:

7 should have gone inside while 12 went on the outside

the answer should be .583333 (repeated)

Answer:

yes u can but i dont know how to show u becuase i cant move them round

Step-by-step explanation:

Answer:

Use the quadratic formula --> follow the steps from there

Step-by-step explanation:

Message me if you do not know how to use the quadratic formula :)

Answer:11.3

Step-by-step explanation:

Answer:

Trick question, either 8 legs because of the two chairs or none.

Step-by-step explanation:

The dogs and everything aren't on the ground. I think the anwser is either 8 or none.

Answer:

The number of legs on the ground are 10.

Step-by-step explanation:

Given information:

2 dogs , 4 horses and 1 giraffe and a duck are laying on the bed.

3 chickens are flying over two chairs .

Now, in the riddle the specific type of leg is not mentioned but the information is given about the bed and chair.

So, one need to consider the legs of bed and chair too, also the person entering in the room is on the ground so the legs of the person will also be counted.

Hence, total number of legs on the ground will be:

legs of (1 bed + 2 chairs + 1 person)

Hence

Number of legs (N) = 4+8+2

N=10

Hence, the number of legs on the ground are 10.

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https://brainly.com/question/478260?referrer=searchResults

Answer:

392 liters of synthetic oil is needed

Answer:

3:5 and 50:100

that should be the answer

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

Answer:

check your commments

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

10 = 2 * 5

6   = 2 * 3

LCM of 10 , 6 =  2 * 3 * 5 = 30

[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]

          [tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]

Answer:

y = 3/7x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 3/7

Point (14, 0)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = 3/7x - 6

Answer:

$59768.28

Step-by-step explanation:

5.5*36=198

3.25*36=117

117*198=23166

23166*2.58= thats a big room, let alone a lot of money

Answer:

320904

Step-by-step explanation:

Answer:

6 yards were gained between the two plays.

Step-by-step explanation:

13 minus 7 is 6.

Losing a value is decreasing, so you would use a negative sign.

Subtract the partial value lost from the total.

You get 6.

Answer:

6 yards. Marco and his football to got 6 yards.

Rachel will have ran 114 miles in six weeks.

There's five weekdays in a week: (3.2 x 5) = 16 miles

There's two days in a weekend: (1.5 x 2) = 3 miles

16 [weekday] + 3 [weekend] = 19 miles [7-day week]

(19 x 6) = 114 miles

Hope this helps, please mark brainliest. Have an amazing rest of your day and stay safe! xx

Answer:

x=2

Step-by-step explanation:

To find the axis of the simmetry of parabola ( the curve of the quadratic function) we have to find the x of the top point of the parabola.

The x= -12/-(2*3)= 2

So the axis of the symmetry is the line x=2

Answer:

m = 2

(0, 4)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 2x + 4

Step 2: Break function

Slope m = 2

y-intercept b = 4

Answer:

P=2

Step-by-step explanation:

Answer:

2 pounds

Step-by-step explanation:

4.05 p +14.4=4.5p+13.5

14.4=.45p+13.5

.9=.45p

45p=90

p=2