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Vikki [24]
4 years ago
10

Does the equation x² - 4x + y² = -3 intersect the y-axis?

Mathematics
1 answer:
STatiana [176]4 years ago
7 0

Step-by-step explanation:

<u>Step 1:  Graph the equation</u>

If you look at the graphed equation, it is a circle located at (2, 0) and it has a radius of 1.  Therefore, it never touches the y-axis.  The best answer for this question would be option B.

Answer:  Option B

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The sum of the digits of a three digit number is 19. The second digit is one more than the first digit. The third
Oxana [17]

Answer:

  • D. 568

Step-by-step explanation:

Let the number is in the form of xyz

<h3>We have</h3>

Sum of the digits is 19

  • x + y + z = 19

The second digit is one more than the first digit

  • y = x + 1

The third digit is two more than the second digit

  • z = y + 2 = x + 1 + 2 = x + 3

<u>Substitute the values of y and z</u> into the first equation and solve for x

  • x + x + 1 + x + 3 = 19
  • 3x + 4 = 19
  • 3x = 15
  • x = 5

<u>Find the value of y and z</u>

  • y = 5 + 1 = 6
  • z = 5 + 3 = 8

The number is 568

5 0
2 years ago
My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 6 chocolates at random from his snack jar. Unb
Nikolay [14]

Answer:

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

Step-by-step explanation:

The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many possible outcomes are there the first time he grabs 6 chocolates?

6 chocolates from a set of 16. So

C_{16,6} = \frac{16!}{6!(16 - 6)!} = 8008

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

7 0
4 years ago
The math club made a total of $1155 from selling 210 T-shirts. How much did they sell each T-shirt for?
worty [1.4K]

Answer:

$5.50

Step-by-step explanation:

We need to divide the total amount earned by the number of t-shirts

\frac{1155}{210} = $5.5/shirt

4 0
3 years ago
What is the Y intercept pls help
Ad libitum [116K]

Answer:

y- intercept = 1

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses.

This occurs when the x- coordinate is 0

From the table the point (0, 1 ) is where the graph crosses the y- axis

Then y- intercept = 1

5 0
3 years ago
P/5=30<br> what does p equal?<br> p=?
AURORKA [14]

Answer:

P= 150

Substitute P with 150 and you will get 30

8 0
3 years ago
Read 2 more answers
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