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VladimirAG [237]

2 years ago

7

What is the property of 96+13=13+96

2 answers:

Firlakuza [10]2 years ago

6 0

The property is 109 because its 109

KengaRu [80]2 years ago

3 0

Commutative property

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Find f(6) if f(x) = x^{2} ÷ 3 + x.

Papessa [141]

6^2 is 36. / 3 makes 12. 12+6 is 18. final answer, most likely 18.

8 0

2 years ago

Neko [114]

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

In ΔABC

m∠A = 10x+9

m∠B = 34°

m∠C = 97°

To Find:

x= ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=\dfrac{40}{10}=4\\\\\therefore x=4$

The value of x is 4.

6 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

Factorize the given expression:<br> 27x3 - 63x2 + 49x – 343 27

stealth61 [152]

49x−9306 I’m not sure

4 0

2 years ago

Zn (s) + Cu2+ (aq) → Cu (s) + Zn2+ (aq)

White raven [17]

The answer is A zinc is oxidized and copper gets reduced

8 0

2 years ago

Read 2 more answers