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2 years ago

11

Find the equation of the line shown!!!

1 answer:

-Dominant- [34]2 years ago

7 0

Answer:

y=5/4x+4 is the equation

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What is 1 1/5 X 3 3/4 ?

4vir4ik [10]

Answer:

4.5

Step-by-step explanation:

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2 years ago

How can I prove that a^(m+n)=a^m*a^n

Y_Kistochka [10]

I've got it down to m+n=m*n but that doesn't seem to help. I'm still working

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2 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

2 years ago

1 Selena rewrote the expression 4(5m + 12s) using the distributive property. What expression did Selena create?

ad-work [718]

Answer:

4*5+12

Step-by-step explanation:

5 0

2 years ago

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Tom's age is 4 of his mother's age. Tom is 12 years old. How old is his mother?

andrezito [222]

Answer: His mom's age is 48

Step-by-step explanation: If his age is 1/4 his mother, then if we know his age, we do the opposite. Multiply his age by 4, we get 48.

4 0

2 years ago

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