Question<br><br> Find the sum.<br><br> 1/3(9−6m)+1/4(12m−8)

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neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

b= 30

h=18

Now substitute the values in the formula

30(18)/2

30 times 18 = 540

divide the product by 2

540/2 = 270

6 0

3 years ago

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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; $(x^2-4)^2y'' + (x + 2)y' + 7y = 0$

The above equation can be better expressed as:

$y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0$

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

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

This implies that:

$p(x) = \dfrac{(x+2)}{(x^2-4)^2} \$

$p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \$

$p(x) = \dfrac{1}{(x+2)(x-2)^2}$

Also;

$q(x) = \dfrac{7}{(x^2-4)^2}$

$q(x) = \dfrac{7}{(x+2)^2(x-2)^2}$

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

When x = - 2

$\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}$

$\implies \dfrac{1}{16}$

$\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}$

$\implies \dfrac{7}{16}$

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

Thus, x = 2 is an irregular singular point.

5 0

3 years ago

A construction crew has just finished building a road. the crew worked for 10 days. if they build 2 3/4 kilometers of road each

tatuchka [14]

2.75 x 10 = 27.5 or 27 1/2 kilometers total

7 0

3 years ago

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Use trigonometry to solve for x. Round to the nearest tenth.

mel-nik [20]

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

5 0

3 years ago

Describe a real-life multiplication situation for which an estimate makes sense . Explain why it makes sense

monitta

Answer: Here we have a real life multiplication situation for which an estimate make sense:-

Miley has 212 fiction books. Sharon has 3 times fiction books has many as Miley has, how many fiction books Sharon has

Solution :- Number of fiction books Miley has = 212

Number of fiction books Sharon has= 3 times 212

We know that 212 is near to 200 , so round off 212 to 200 (to the nearest hundred)

Thus the product becomes $3\times200=600$

Therefore, the estimated number of fiction books Sharon has=600

7 0

3 years ago

Question Find the sum. 1/3(9−6m)+1/4(12m−8)