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Norma-Jean [14]
4 years ago
15

Identify the property demonstrated. (7x3)^4 = 7^4 x 3^4

Mathematics
2 answers:
Vikki [24]4 years ago
6 0
( 7 x 4 ) ^4 = 7^4  x  3^4
The rule is:
( a * b )^n = a^n * b^n
Answer:
D ) Power of a Product Property
Verizon [17]4 years ago
6 0

Answer:

Product of powers property. just took the quiz.

Step-by-step explanation:


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Find the sum of the hundreds digit and the tenths digit in the number 1,764.823.
goblinko [34]
1,800 and 60 I would believe since we're rounding
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How can you find the solution of a system of linear equations by graphing
BigorU [14]

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

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An isosceles triangle has a perimeter of 18 cm. Find a function that models its area A in terms of the length of its base b.
IgorLugansk [536]
So.... notice the picture below

now, we know what the "height" or "altitude" is
now, we also know the perimeter is 18cm

so, k + k + b = 18
or 2k + b = 18
thus  \bf k=\cfrac{18-b}{2}

so... one can say that \bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=b
\\\\
h=\sqrt{k^2-\left( \frac{b}{2} \right)^2}
\\\\
h=\sqrt{k^2-\frac{b^2}{4}}\\
--------------\\
k=\frac{18-b}{2}\qquad thus\\
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h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
A=\cfrac{1}{2}\cdot b\cdot \sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}

and you can simplify it if you wish.. not sure you have to

7 0
3 years ago
Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day
Goshia [24]

Answer:

The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

v+g=21              ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of  per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

10v+12g =240     ⇒ equation 2

Hence The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

10(v+g)=21\times10

10v+10g =210     ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15

Dividing both side by 2 we get;

\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs

Now Substituting the value of g in equation 1 we get;

v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs

Hence Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

7 0
3 years ago
37 is nearest to what multiple of 10?
Kaylis [27]
4 because 4 x 10 = 40 and 3 x 10 = 30 so 4 is closer
5 0
3 years ago
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