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ivolga24 [154]
3 years ago
6

the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it

is known that parabola opens upward
Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

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seropon [69]
The answer would be x= 7,-7
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Mai invested $7000 in a money-market fund that paid 6.2% simple interest . What was the value of her account at the end of 18 mo
boyakko [2]
Depends it could be 14812 if they want total value or just the interest would be 7812
5 0
3 years ago
Read 2 more answers
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne
Vadim26 [7]

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

4 0
3 years ago
This figure represents the base of a fish tank that is 8 inches high.
Igoryamba

The volume of the fish tank is 408 in³

To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.

<h3>What is the volume of plane shapes?</h3>

The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.

From the figure given:

The figure can be differentiated into two shapes;

  • A rectangle
  • A triangle

The volume of the rectangle is known as:

  • = Length × Breadth
  • = 7 inches × 6 inches
  • = 42 inches²

The volume of the triangle is:

  • = 1/2 × base × height
  • = 1/2 × 3 × 6
  • = 9 inches²

The total volume of the base of the fish tank now is:

  • = 42 inches² + 9 inches²
  • = 51 inches²

Now, the volume of the fish tank is:

  • = Height × base of the fish tank
  • = 8 inches × 51 inches²
  • = 408 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

7 0
2 years ago
Find all the zeros of the function f(x)=x^3+15x^2+67x+53
Elza [17]
<span> x = 3<span> x =(-12-√-4)/-2=6+i= 6.0000-1.0000i</span><span> x =(-12+√-4)/-2=6-i= 6.0000+1.000</span></span>
7 0
3 years ago
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