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Ahat [919]
4 years ago
7

Identify the 2-dimensional shape created from a diagonal cross section of a cone​

Mathematics
1 answer:
pshichka [43]4 years ago
8 0

Answer:

An ellipse

Step-by-step explanation:

Take a cone and make a diagonal cut through it, removing a very thin slice.  The result is an ellipse.  

 

a      /\

     /    \

   /        \   b      

 /            \    

Make a straight line from a to b, it will make an elliptical shape.  If we cut perfectly horizontally, we would get a circle, when we angle the cut of our cross section, the shape gets more and more elliptical depending on the angle of the cut

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
What are 5 fractions that can simplify to 2/5
enot [183]
4/10
8/20
16/40
32/80
64/160
6 0
3 years ago
Read 2 more answers
Drag the missing statements and reasons to the correct spot to complete the proof
morpeh [17]

Answer:

See attached

Step-by-step explanation:

Answer is attached

7 0
3 years ago
When placed in the box below, what expression will complete an example of the commutative property of addition 7(2+9)= ?
ANEK [815]

The expression for 7(2+9) IS A(B+C) which is distributive property of addition over multiplication.

Only two arithmetic procedures are subject to the commutative property: Multiplication and Addition

 A + B = B + A Which is Commutative property of addition

A.B = B.A, which is a commutative property of multiplication.

Distributive property is A(B+C) =AB+AC

The operation on numbers that are available in brackets can be distributed for each number outside the bracket, according to the distributive property. It is one of the mathematical properties that is used the most. Commutative and associative qualities are the other two important features.

from the given data 7(2+9) =7*2+7*9

                                                =14+63

                                                =77

Now, we can clear that 7(2+9) =7(9+2)

Hence, the expression for commutative property of addition is A(B+C) = AB+AC.

To learn more about commutative property, visit

brainly.com/question/28387735

#SPJ1

6 0
1 year ago
Find the smallest integer value of X that satisfies the inequality of 6X>7
Nastasia [14]

Answer:

  x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

  6x > 7

  x > 7/6

The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

5 0
2 years ago
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