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AlladinOne [14]
3 years ago
7

Write the decimal 2.91 as a fraction or mixed number,

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

291/100

Step-by-step explanation:

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What is the base of a parallelogram with an area of 72 square feet and a height of 12 feet?
Tresset [83]
Area of a parallelogram = bh   [b=base, h=height ]

72 = b*12
72/12 = b
b = <span>6 Feet</span>
7 0
2 years ago
the coordinates of the vertex of a parabola in the xy-plane are (-4,k). If the y-intercept of the parabola is 12 and the parabol
svp [43]

The value of k is (A) 20/3.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
  • A point and a line are two ways to describe a parabola.

To find the value of k:

  • y - b = c (x - a)²

Where (a, b) is the vertex and c is the constant.

  • (a, b) = (-4, k)
  • y - k = c (x - (- 4))²
  • y - k = c (x + 4)²

So,

  • x = 0, y = 12
  • 12 - k = 16c
  • k = 12 - 16c  ...... (1)

Then,

  • (-3, 7) = (x, y)
  • 7 - k = c (1)²
  • k = 7 - c  ...... (2)

Now,

  • 12 - 16c = 7 - c
  • 12 - 7 = 16c - c
  • 5 = 15c
  • c = 5/15 = 1/3

So, the value of k:

  • k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3

Therefore, the value of k is (A) 20/3.

Know more about a parabola here:

brainly.com/question/4061870

#SPJ4

The complete question is given below:

The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?

(A) 20/3

(B) 16/5

(C) 14/3

(D) 12/5

5 0
1 year ago
Area of a regular heptagon
Allushta [10]

Answer:

32.71

Step-by-step explanation:

32xcot(\frac{108°}{7} \\) = 32.70521

4 0
2 years ago
a circle has a radius that is 3 centimeters long. If a central angle has a measure of 4 radians, what is the length of the arc t
ale4655 [162]
12 centimeters (on APEX)
3 0
3 years ago
Read 2 more answers
5. If "h" is positive how does the parabola move? If negative?
Paul [167]

Answer: positive values for h translate the parabola to the right, negative values for h translate the parabola to the left

Step-by-step explanation: Note that the value for h is subtracted from x, and then this difference is squared. See that positive values for h translate the parabola to the right, negative values for h translate the parabola to the left

7 0
3 years ago
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