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3 years ago

Quadratic function of Y=x2-2x-3

1 answer:

6 0

Ok! So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, y = x2, where "a" is 1.

Hope this helps.

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Whats the answer to this

dybincka [34]

Answer:

16 Units.

Step-by-step explanation:

Given:

AC = 2 (x-3)
BD = x + 5

THIS CASE ⇒ AC = BD

⇒ Substitute the values

2 (x - 3) = x + 5

⇒ Clear the value of x

2x - 6 = x + 5

2x - x = 5 + 6

x = 11

⇒ Substitute the value of x in any of the equations

11 + 5 = 16

⇒ Length of each diagonal is 16 units.

5 0

1 year ago

Read 2 more answers

What is the equation of the line that is

Fantom [35]

Answer:

$y = m_{AB}(X-2)-1$

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, $m_{AB} = m_{2}$ .

To obtain the slope from the line AB, we need two points, so the general equation will be:

$m_{AB} = \frac{y_{B} -y_{A} }{x_{B}-x_{A} }$

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = $-1=m_{AB} (2)+b$ (2) + b

then the interception is $b=-m_{AB} -1$

Now to obtain a general equation for the second parallel line will be:

y = $m_{AB}$ X + b

y = $m_{AB}$ X - $m_{AB}$ (2)-1

Finally we get:

y = $m_{AB}$ (x-2)-1

3 0

3 years ago

Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the leng

Paraphin [41]

Answer:

Option C. $p=33\ ft$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

$\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft$

7 0

3 years ago

Read 2 more answers

How far is Mars from the sun actually formatted

pav-90 [236]

Answer:

228 kilometers away

Step-by-step explanation:

6 0

3 years ago

from a set of seven math books, nine science books, and five literature books, in how many ways can a student select two from ea

Over [174]

There are 7 math books, 9 science books and 5 literature books. Student has to select 2 books from each set.

This is a combination problem.

Number of ways to select 2 math books from 7 books = 7C2 = 21
Number of ways to select 2 science books from 9 books = 9C2 = 36
Number of ways to select 2 literature books from 5 books = 5C2 = 10

Total number of ways to select 2 books from each set = 21 x 36 x 10 = 7560 ways.

So there are 7560 ways to select 2 books from each set of seven math books, nine science books, and five literature books

6 0

3 years ago