Answer: LM = 23
Step-by-step explanation:
Solve the algebraic equations:
Line KN: (solve for x)
![14x-3=25](https://tex.z-dn.net/?f=14x-3%3D25)
move the 3 to the other side with addition
![14x=28](https://tex.z-dn.net/?f=14x%3D28)
divide by 14 to get x by itself
![x=2](https://tex.z-dn.net/?f=x%3D2)
Now that we have x we can find line KL:
![9(2)+5\\18+5\\23](https://tex.z-dn.net/?f=9%282%29%2B5%5C%5C18%2B5%5C%5C23)
So we now know that KL is 23 units. And we know that KL = LM
Answer:
60
Step-by-step explanation:
Step-by-step explanation:
we cannot "solve" it, as we don't know anything about y or k, by we can "simplify" it.
as multiplication is commutative, we can split the whole expression into multiplication factors, simplify each factor, and then out the results back together as one large multiplication.
and remember for the simplification of exponents, multiplying terms with the same base means adding the exponents, dividing terms with the same base means subtracting the denominator exponent from the numerator exponent.
and a^-b = 1/(a^b).
so, we could see the main expression as
(-4/-8)×(y⁶/y⁹)×(k²/k⁵)
(-4/-8) = 1/2
(y⁶/y⁹) = y^-3 = 1/y³
(k²/k⁵) = k^-3 = 1/k³
because e.g.
y⁶/y⁹ = (y×y×y×y×y×y)/(y×y×y×y×y×y×y×y×y) = 1/(y×y×y)
putting the results back together gives us
1/2 × 1/y³ × 1/k³ = 1/(2y³k³)
Answer:
<h2>Biased.</h2>
Step-by-step explanation:
The research is aimed to find if students would choose engineering as their profession.
So, according to the problem, the researcher chose the same number of male students and female students. In that case, the research would be biased. If the researcher chooses the same number of boys and girls, one group will be overrepresented, because in a school, there aren't the same number of male students and females students, that would be a perfect case which doesn't happen in real life.
So, the equivalence of the sample will bias the study, because it would misrepresented the real situation.
Therefore, the sample is biased.
I hope this helps you
x=0 b= -3
y=ax+b
y=0.a-3
y= -3