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mars1129 [50]
4 years ago
13

Determine a quadratic function in vertec form that has the given characteristics. Show your work

Mathematics
1 answer:
Mama L [17]4 years ago
6 0
The answer would be
y =  \frac{5}{16} (x) {}^{2}  - 6

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Please help, I am so confused ( please list in the correct order as well)
andreyandreev [35.5K]

Answer:

( 5, 7),  ( 5, 7), Yes M is the center

Step-by-step explanation:

It could help you under stand this by drawing it out on paper.  I can't draw it here.  You just need to visualize a circle with points A and B on the outside portion of the circle.  Then there is point M inside the circle.  You are trying to figure out if M is in the center or not.

Look at the coordinates for all 3 and find the distance from A to M and then B to M.  Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below.  And, negative numbers for X are to the left of the y axis and positive is to the right.

From A ( -1, -9) to M ( -6, -2).  Look at the x values.  You are going from -1 to -6 which is a total of 5 points.  Now look at y values.  You are going from -9 to -2 which is a total of 7 points.  So the distance in coordinates is ( 5, 7)

From B ( - 11, 5) to M ( -6, -2).  Again look at x values. You're going from -11 to -6 which is 5 points.  Looking at the y values, you are going from 5 to -2.  This is 5 above the x axis going down to a -2 which is below the x axis.  So the total is 7 points.  The distance of these two is also ( 5, 7 ) which is the same as the other distance.

Therefore, you can state correctly that M is the center of the circle.

7 0
3 years ago
What is the value of this expression?<br><br> (−2)5<br><br> Enter your answer in the box.
Oxana [17]
-10 since the parentheses mean multiply and multiplying a negative with a positive gives you a negative.
3 0
3 years ago
Read 2 more answers
2) Evaluate the given numerical expression.<br><br> A) 9<br> B) 12<br> C) 14<br> D) 21
eduard

Answer:

  • \boxed{\sf{14}}

Step-by-step explanation:

\boxed{\underline{\text{ORDER OF OPERATIONS:}}}

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

<u>PEMDAS</u>

  • <u>Parentheses</u>
  • <u>Exponents</u>
  • <u>Multiply</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>BODMAS</u>

  • <u>Brackets</u>
  • <u>Order</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>First, do parentheses.</u>

3+6*(5+4)÷3-7

(5+4)=9

\Longrightarrow: \sf{3+6* 9\div 3-7}

<u>Do multiply and divide.</u>

6*9=54

54/3=18

<u>Then, rewrite the problem down.</u>

\Longrightarrow: \sf{3+18-7}

<u>Add.</u>

\sf{3+18=21}

\sf{21-7=\boxed{\sf{14}}

\Longrightarrow: \boxed{\sf{14}}

  • <u>Therefore, the correct answer is "C. 14".</u>

I hope this helps, let me know if you have any questions.

8 0
3 years ago
2 points
miskamm [114]

The x - intercept of 5x - 3y = 15 is (3, 0)

The y -intercept of 5x - 3y = 15 is (0, -5)

<h3><u>Solution:</u></h3>

Given equation is 5x - 3y = 15

<em><u>To find: x - intercept and y -intercept</u></em>

The x intercept is the point where the line crosses the x axis. At this point y = 0

The y intercept is the point where the line crosses the y axis. At this point x = 0.

<em><u>Finding x - intercept:</u></em>

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

So put y = 0 in given equation

5x - 3(0) = 15

5x = 15

x = 3

So the x - intercept is (3, 0)

<em><u>Finding y - intercept:</u></em>

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

So put x = 0 in given equation

5(0) - 3y = 15

-3y = 15

y = -5

So the y - intercept is (0, -5)

5 0
3 years ago
3/4 x 2/3 as a fraction
svet-max [94.6K]

Answer:

Hi, There!

Your Answer is \frac{6}{12} ~or~\frac{1}{2}

Step-by-step explanation:

\frac{3}{4} ~x~\frac{2}{3} = \frac{3 ~x~2}{4~x~3}

Which Equals

\frac{6}{12}

Now if you dived the numerator and denominator by 6 you Get...

\frac{1}{2}

Therefore, I hope this helps!

Take Care!

-Jay-

5 0
3 years ago
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