The equation of the line which passes through the point (-5, 3) and is parallel to the equation 3x -5y = 30 is; 3x -5y = 30.
<h3>What is the equation of the line?</h3>
Since the line is parallel to the given line; 3x -5y = 30 whose slope is; 3/5.
Hence, since the two lines have equal slopes;
3/5 = (y-3)/(x-(-5))
3/5 = (y-3)/(x+5)
5y -15 = 3x +15
3x -5y = 30
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Answer:
Each student gets 2.25 pieces
of granola bar.
Step-by-step explanation:
Answer:
![x^{\tfrac 23}](https://tex.z-dn.net/?f=x%5E%7B%5Ctfrac%2023%7D)
Step by step explanation:
![\left(x^{\tfrac 43} \cdot x^{\tfrac 23} \right)^{\tfrac 13}\\\\\\=\left(x^{\tfrac 43 + \tfrac 23} \right)^{\tfrac 13}\\\\\\=\left(x^{\tfrac 63} \right)^{\tfrac 13}\\\\\\=\left(x^2 \right)^{\tfrac 13}\\\\\\=x^{\tfrac 23}](https://tex.z-dn.net/?f=%5Cleft%28x%5E%7B%5Ctfrac%2043%7D%20%5Ccdot%20x%5E%7B%5Ctfrac%2023%7D%20%5Cright%29%5E%7B%5Ctfrac%2013%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%28x%5E%7B%5Ctfrac%2043%20%2B%20%5Ctfrac%2023%7D%20%5Cright%29%5E%7B%5Ctfrac%2013%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%28x%5E%7B%5Ctfrac%20%2063%7D%20%5Cright%29%5E%7B%5Ctfrac%2013%7D%5C%5C%5C%5C%5C%5C%3D%5Cleft%28x%5E2%20%5Cright%29%5E%7B%5Ctfrac%2013%7D%5C%5C%5C%5C%5C%5C%3Dx%5E%7B%5Ctfrac%2023%7D)
The ratio 7:9 can be converted to the fraction
![\frac{7}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B9%7D%20)
, which is in simplest form
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
<span>(DOS= difference of two squares, PST=perfect square trinomial </span>
<span>Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.</span>