Answer:
Look below
Step-by-step explanation:
So I will use an example to try and show you how to do this.
If we have
, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be
. Our new denominator would be 6. So now we would have
which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so,
.
So our first fraction was
![1/2+1/3](https://tex.z-dn.net/?f=1%2F2%2B1%2F3)
We then multiplied the whole fraction by the opposite denominator
![3/6+2/6](https://tex.z-dn.net/?f=3%2F6%2B2%2F6)
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Answer:
3x-y=2
m1=-3/-1
m1=3
Since parallel, m1=m2 so,
m1=m2=3
The slope of straight line passing through the point (6,-1) is
y-(-1)=m2(x-6)
y+1=3(x-6)
Step-by-step explanation:
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That's D.
A(t) is the amount as a function of the temperature t.
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
![A_n = {4}^{n - 1}](https://tex.z-dn.net/?f=A_n%20%3D%20%20%7B4%7D%5E%7Bn%20-%201%7D%20)
We want to find the tenth term of this sequence.
We substitute n=10 to get:
![A_ {10}= {4}^{10 - 1}](https://tex.z-dn.net/?f=A_%20%7B10%7D%3D%20%20%7B4%7D%5E%7B10%20-%201%7D%20)
Simplify the exponent
![A_ {10}= {4}^{9}](https://tex.z-dn.net/?f=A_%20%7B10%7D%3D%20%20%7B4%7D%5E%7B9%7D%20)
Simplify the power
![A_ {10}= 262144](https://tex.z-dn.net/?f=A_%20%7B10%7D%3D%20%20262144)
Therefore the 10th term is 262,144
He has 30 students in his class because 40% of the class is boys and there is 2.5 40% in 100% so we do 12 x 2.5