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worty [1.4K]
3 years ago
15

A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?

Mathematics
1 answer:
Alik [6]3 years ago
6 0
<h3>Answer:  D) 5/2</h3>

==================================================

Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5

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PHYSICS As a ray of light meets a mirror, the light
Lady bird [3.3K]
<h3>Answer:  37 degrees</h3>

========================================================

Explanation:

The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.

So angle RMI = 106 is bisected, i.e. divided in half, to get

  • Angle RMN = 53
  • Angle NMI = 53

since 106/2 = 53

Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0
2 years ago
peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28
DIA [1.3K]
<h3>Answer:  8</h3>

=======================================================

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

3 0
2 years ago
Read 2 more answers
How do I work this problem out..23÷560
attashe74 [19]
Divide 560 by 23, 23 goes into 560 24.347 times.
5 0
3 years ago
Read 2 more answers
Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually
Bess [88]
I think C is the answer
5 0
3 years ago
Read 2 more answers
The diameter of a round rug is 42 inches. What is the approximate area of the rug?
Troyanec [42]

Answer:

Area of the 2 circles

= 2 pi r square root

= 2 x 3,14 x 21 x 21

=6,28 x 441

=2769.48inches square

Area of the rectangle

= L x h

= where is the other number bc then u cant solve it

Step-by-step explanation:

3 0
3 years ago
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