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dlinn [17]
3 years ago
11

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

y =-5x + 7

Step-by-step explanation:

y = -5x + 4

Slope = -5

Parallel lines have same slope

Slope of the parallel line to this line = -5

(1 , 2)

y -y1 =m(x - x1)

y - 2 = -5(x - 1)

y -2 = -5x + 5

   y = -5x + 5 + 2

  y = -5x + 7

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Answer:

y = 2x - 5

Step-by-step explanation:

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2 years ago
H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0
Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0
3 years ago
Which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50
mash [69]

Answer:

Step-by-step explanation:

\sqrt{8}-\sqrt{72}+\sqrt{50} These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.

Simplify by taking the prime factorization of each of those numbers.

8: 4*2 and 4 is a perfect square, so we'll stop there

72: 36*2 and 36 is a perfect square, so we'll stop there

50: 25*2 and 25 is a perfect square, so we'll stop there.

Now, rewrite each one of them in terms of their prime factorization:

\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2} and then pull out each perfect square as its root:

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1\sqrt{2}  or simply  \sqrt{2}

6 0
2 years ago
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Answer:

Step-by-step explanation:

c

6 0
2 years ago
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What does negative 2 over 7 &gt; −4 indicate about the position of negative 2 over 7 and −4 on the number line?
jeyben [28]
-4/7 > -2

If it is greater it goes to the right, and if it is less it goes to the left.

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