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SCORPION-xisa [38]
3 years ago
11

3. What is the slope of a line perpendicular to the line y =-2/3 x+12

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

Slope of line (i) = 1.5

Step-by-step explanation:

  • Line (i) is perpendicular to;
  • Line (ii) whose equation is y = -\frac{2}{3} x + 12

The slope of line (ii) = -\frac{2}{3}

* <u>Mathematics rule</u>: <em>The product of slopes of two perpendicular lines = -1</em>

∴ The slope of line (i) = -1 ÷ -\frac{2}{3} = 3/2 = 1.5

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3 years ago
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? {5, 8} {-5, -8} {3, 8} {4, 7} {4, 8}
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The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
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solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
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facor
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set to zer
k-7=0
k=7
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so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
answer is {4,7} is the domain
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3 years ago
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