Answer:
x=-3 y=17 (-3;17)
Step-by-step explanation:
-3x+8-y=0
-5x+2-y=0
-2x-6=0
So: x=-3
While....by substituting: y=17
Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by ![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
The prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)
<h3>Prime factorization</h3>
Given the polynomial function expressed as:
24x^4 – 3x
Factorize
y = 24x^4 – 3x
Factor out the GCF
y = 3x(8x^3 - 1)
Factor the expression in parenthesis
y = 3x((2x)^3 - 1^3)
y = 3x(2x-1)((2x)^2 + 1^2 +2x)
y = 3x(2x -1)(4x^2 +2x + 1)
Hence the prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)
Learn more on prime factorization here: brainly.com/question/92257
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Answer: the correct answer is A. banked with dirt to a height of
Step-by-step explanation:
More than parallelism, this topic is more related to the correct use of prepositions. Here when it is better to use banked with dirt because it means overlaid with dirt,; it is not necesary to ad any other word. Then, we say to a height of when we want to say how high something is and we ad a number after that.