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2 years ago

15

PLEASE HELP WILL MARK WILL MARK BRAINLIEST THANK YOU

1 answer:

Anika [276]2 years ago

6 0

Answer:

We are given that the frame is 2 units wide, which means that we subtract the length of the outer frame by 2 units for each side:

7 - 2 -2 = 3

9 - 2 -2 = 5

Now, we have the length and width for the smaller rectangle, so we use the area formula (area = length*width) to get:

3*5 = 15

Step-by-step explanation:

Please support my answer.

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

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3 years ago

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scoundrel [369]

Answer:

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Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

$x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, I find it easier to evaluate as ...

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3 years ago