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Helen [10]
3 years ago
11

The picture below illustrates a special type of conic section called

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

The picture below illustrates a hyperbola.

The intersecting plane does not pass through the vertex of a right circular cone (the vertex of the cone is the point where two nappes meet).

As you can see from the diagram, the plane intersects both nappes of a right circular cone.

Hence, correct option is option A: The plane does not pass through the vertex and intersects both nappes of a right circular cone.

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What are the solutions of the system?
siniylev [52]
y=x^2-3x+2 \\y=4x-4

A. (1, 0) and (–6, –28) 

B. (1, 20) and (6, 0) 

C. (1, 0) and (6, 20) 

D. no solution


Correct answer is C.


y=x^2-3x+2 \\y=4x-4\\ \\4x-4=x^2-3x+2 \\x^2-7x+6=0 \\x^2-6x-x+6=0 \\x(x-6)-(x-6)=0 \\(x-6)(x-1)=0 \\x=6\,\text{ or }x=1 \\y=4\times 6-4=20 \,\text{ or }y=4\times 1-4=0 \\ \\(6,20)\,\text{ and }(1,0)

8 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the system of inequalities?<br> y &lt; 2/3x<br> Y&gt;-x+2
Marysya12 [62]

Answer:

I attached it.

Step-by-step explanation:

This is the graph.

5 0
3 years ago
I really need help with these math problems!
Naya [18.7K]
A) 2.025 x 10^14 kilometers / 225 million years

B) 2.25 × 10^8

C) 2.025 x 10^14 kilometers / 2.25 x 10^8 years

D) 2.025 x 2.25 = .9

E) 10^14 - 8 = 10^6

F) .9 x 10^6

Notes:
To write in scientific notation, move the decimal place over until there is only 1 number outside of it. (25,000 now equals 2.5) Then count how many spaces you moved over (25,000 moved over three zeros, and the five. That is 4 places) that is what you use to put over the 10 (2.5 x 10^4 = 25,000)
6 0
3 years ago
What is 10 3/17 as a improper fraction
jeyben [28]

Answer:

To convert mixed number 10 3/17 to improper fraction, you follow these steps:

First, note that 10 3/17 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

10 = whole number

3 = numerator

17 = denominator

Multiply the whole number by the denominator

10 × 17 = 170

Add the product from Step 1 to the numerator

170 + 3 = 173

Write answer from Step 2 over the denominator

173/17

The mixed number 10 3/17 converted to improper fraction is therefore :

173/17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cable car can safely carry n people thete are alreafy 3/4n people on the cable car only 12 more people can board the cable car
ipn [44]

Answer: 48 people.

Step-by-step explanation:

1. You know that n represents tha number of people that the cable car can safely carry.

2. If you know that there are \frac{3}{4}n and only 12 more people can board it before it becomes unsafe, you can write the following expression:

n=\frac{3}{4}n+12

3. Now, you must solve for n.

4. Then, the number of people that the cable car safely carry is:

n-\frac{3}{4}n=12\\\frac{1}{4}n=12\\n=12*4\\n=48

4 0
3 years ago
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