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scZoUnD [109]
3 years ago
14

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

k=6

Step-by-step explanation:

The parabola that opens up and passes through (-3,-3) will have equation,

f(x) =  {x}^{2}  - 12

The parabola the opens up a d passes through (-3,3) will have equation:

g(x) =  {x}^{2}  - 6

We want to determine the value of k, for which,

g(x) = f(x) + k

We rewrite g(x) in terms of f(x) to get:

{x}^{2}  - 6 =  {x}^{2}   - 12 + 6

g(x)  \to({x}^{2}  - 6 )= f(x) \to ({x}^{2}   - 12 )+k  \to6

Therefore;

g(x) = f(x) + 6

Hence k=6

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The area of the largest triangle would be 6 inches².

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3 years ago
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M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Fudgin [204]

Answer:

Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

<h3>Solve for x</h3>
  • ∠a + ∠b + ∠c = 180°
  • (48 - x)° + (9x - 38)° + 90° = 180°
  • 10° + 8x + 90° = 180°
  • 8x = 180° - 90° - 10°
  • 8x = 80°
  • x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

<h3>Angle A</h3>
  • 48° - x
  • 48° - 10°
  • 38°
<h3>Angle B</h3>
  • 9x - 38°
  • 9(10°) - 38°
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  • 52°
<h3>Angle C</h3>
  • 90°

The answer is Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°
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