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GrogVix [38]
3 years ago
9

Find the equation of the parabola with a vertex of (5, -2) and a focus of (5, -3)

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0
Use the form \left(x-h\right)^2=\frac{1}{4p}\left(y-k \right)
Then we have the vertex is (h,k) and the distance from the vertex to the focus is p. Therefore we have \left(x-5\right)^2=-\frac{1}{4}\left(y+2\right). It is negative because the parabola is pointing downwards.

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William left a 20% tip on a $15.80 lunch bill. How much did he pay for lunch?
qwelly [4]

Answer:

$16 should be the answer

Step-by-step explanation:

6 0
2 years ago
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The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube i
Kryger [21]

Answer: Choice A) 14^3

This is the same as writing 14^3

===================================================

Explanation:

Since all the sides are 14 feet long, we can basically say length = width = height = 14.

Or put another way:

  • length = 14
  • width = 14
  • height = 14

The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.

-----------

The term 14^3 has a base of 14 and exponent of 3.

The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14

If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.

Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.

Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.

6 0
3 years ago
One serving of a cereal is 3/4 cup. Each box cereal has about 9 cups of cereal an costs $3.80. Is the price per serving greater
Zanzabum
I think it is greater
8 0
3 years ago
What is the quotient of 75,120 ÷ 16?
vesna_86 [32]
The answer is 4695 just divide it
hope this helps
6 0
3 years ago
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