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HACTEHA [7]
3 years ago
9

Please help Me find that last box I’m struggling

Mathematics
2 answers:
vfiekz [6]3 years ago
7 0

Answer:

(0,-4)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y= -3(0)^2+12(0)-4

=-4

omeli [17]3 years ago
5 0

Answer:

  • Axis of symmetry: x=2
  • Vertex: (2, 8)
  • Y-intercept: (0, -4)
  • Min/Max: Maximum

Step-by-step explanation:

Concept:

Quadratic equation formula: y=ax²+bx+c

Axis of symmetry formula=-b/2a

Y-intercept formula=c

Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.

Given:

y = -3x² + 12x - 4

Solve:

The axis of symmetry formula = -b/2a

  • -(12)/2(-3) = 2

The Vertex

  • y=-3x²+12x-4=-3(2)²+12(2)-4=8
  • (2, 8)

Y-intercept=c=(0, -4)

Min/Max

  • Since [-3] is negative, it is maximum

Hope this helps!! :)

Please let me know if you have any questions

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here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume
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<h2>Volume Of Prism</h2>

Here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume.

<h3>Solution:</h3>
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  • V = 5cm
  • V = 5cm x 5cm
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Jake's family is moving to a new home. They pack 22 boxes in 1 5/6 hours. What is the average number of boxes per hour? Explain.
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7 0
3 years ago
I need help with these 2 questions!! please 20 points!!!
bezimeni [28]

9514 1404 393

Answer:

  1. 45 cm²
  2. 38 cm²

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

7 0
2 years ago
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