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valkas [14]
2 years ago
6

Which type of conic section is represented by the equation y = (x-10)^2 - 5?

Mathematics
1 answer:
erastovalidia [21]2 years ago
6 0

Answer:

That's a parabola

explanation:

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19 - k = 4. <br><br><br><br><br>I need help​
Marysya12 [62]

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

5 0
2 years ago
Michelle and her father want to make a triangular sail for their boat. The height of the sail will be 24 ft., and the base will
Lemur [1.5K]

Answer:

The area of the triangular sail is 216 ft²

Step-by-step explanation:

Since the sail is triangular, we solve the area using the area of a triangle

Area of triangle = 1/2 of base × height

base is 18 and height is 24

Area = 1/2 × 18 × 24

= 9×24

= 216 ft²

5 0
3 years ago
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
2 years ago
2.A spinner is divided into 20 equal sections. What is the probability of the spinner's pointer landing on section 5
lisabon 2012 [21]
I believe it's 1/20!

I hope this helps!
4 0
3 years ago
If y=15 when x=5, find y when x=7, given that y varies directly with x.
Oxana [17]

Answer:

when x = 7, y = 21

Step-by-step explanation:

This is about direct variation. If y varies directly with x, then there is a constant  factor of variation, k. The constant of variation can be found by ʸ⁄ₓ

k = ʸ⁄ₓ

k = ¹⁵⁄₅ = 3

Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.

y = 3x

y = 3(7)

y = 21

4 0
3 years ago
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