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horsena [70]
1 year ago
5

Which function has a vertex at the origin?

Mathematics
1 answer:
dlinn [17]1 year ago
6 0

Answer:

  (d)  f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

  f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

  f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

  f(x) = -x² . . . . . a=-1

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A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted
Julli [10]
Since there are 360^{\circ} in a circle, and central \angle AOB = 90^{\circ}, you can see that the part "sliced out" by the central angle is \frac{90^{\circ}}{360^{\circ}} = \frac{1}{4} of the whole circle.

This means that the length of the intercepted arc \stackrel{\frown}{AB} is \frac{1}{4} of the circumference of the circle. So,

\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm



6 0
3 years ago
The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an
dolphi86 [110]

Answer:

76017.69 mm²

631000 mm³

295045.04 mm³

Step-by-step explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³

8 0
2 years ago
Pls help, u dont have to explain that much​
Anettt [7]

Answer:

it will be equal to

12x {}^{3}

okay....

Step-by-step explanation:

volume of a cuboid = l × b × h

( where l = length, b = width , h = height )

so volume of given cuboid = ( 3x × 2x × 2x )

hence volume =

{12x}^{3}

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3 years ago
What was the approximate number of mobile cellular subscriptions per 100 people in Zimbabwe in 2003
AnnyKZ [126]
4 was the exact answer
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3 years ago
Choose a number line to model the following situation:
katrin2010 [14]
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25-25=0
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