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ss7ja [257]
3 years ago
9

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to f(g(x))?

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

3(x^2+1)+2

Step-by-step explanation:

since g(x) is equal to x^2+1 you can substitute x^2+1 for g(x) which will be f(x^2+1). then you can substitute f(x) for 3x+2 and in the end you will get 3(x^2+1)+2

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if △ ABC ~ △A'B'C' and AC=20cm,A'C'=15cm,B'C'=12cm andA'B'=9cm find the lengths of the other sides of △ABC.​
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Answer:

AB=12    BC=9

Step-by-step explanation:

Any side of a triangle must be shorter than the other two sides added together.

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6 0
2 years ago
7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and
ozzi

Answer:

  • See below

Step-by-step explanation:

<u>Find the intersection of circles</u>

  • x² + y² + 2x = 0 and
  • x² + y² - 3y = 0

<u>Subtract the equations to find:</u>

  • 2x = -3y ⇒ y = -2/3x

<u>By substitution find the points:</u>

  • (0, 0) and (-1.385, 0.923)

<u>Find midpoint between these two points:</u>

  • x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

<u>Find perpendicular bisector passing through this point:</u>

  • y - 0.4615 = 3/2(x + 0.6925)
  • y = 1.5x +  0.4615 + 1.5(0.6925)
  • y = 1.5x + 1.50025

<u>Find intersection of the lines, it is the center:</u>

  • y = 1.5x + 1.50025
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<u>Solving we get:</u>

  • x = -2,75, y = -2.625

<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>

  • (x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
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  • 4x² + 22x + y² + 21y = 0
  • 4x² + 4y² + 22x + 21y = 0

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