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melisa1 [442]
3 years ago
6

Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work

Mathematics
2 answers:
Yuliya22 [10]3 years ago
5 0

\boxed{c=11}

<h2>Explanation:</h2>

Here we have the following expression:

x^2+22x+c

A Perfect Square Trinomial is given by the form:

(x+a)^2=x^2+2ax+a^2

So matching terms, we can conclude that:

2a=22 \\ \\ a=11 \\ \\ c=a^2=121

So, substituting c into the expression:

x^2+22x+121

It is a perfect square because:

x^2+22x+121=(x+11)^2

<h2>Learn more:</h2>

Quadratic Equation in real life problems: brainly.com/question/10278062

#LearnWithBrainly

weqwewe [10]3 years ago
4 0

Answer:

<h2><u>121 </u></h2>

Step-by-step explanation:

<em>Use the formula  ( b 2 ) 2  in order to create a new term in order to find the perfect square trinomial. </em>

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vodka [1.7K]

Answer:

There is no picture?

5 0
2 years ago
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46 x 53 please show with work or something
lutik1710 [3]

Answer:

2,438

Step-by-step explanation:

    53

    46

______

     318

   212

_______

   2438

6 times 3 is 18. Put the 8 in the ones place and carry the 1 ~ 6 times 5 is 30. Add the carried 1 and you have 31. Put that next to the 8. ~ 4 times 3 is 12. put the 2 under the 1 in 318 and carry the 1. ~ 4 times 5 is 20. Add the carried 1 and you have 21. ~ Put that next to the 2. Now add 318 to 2120 and you have the answer of 12438.

5 0
2 years ago
4 questions 20 points
Dvinal [7]
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7

2.  (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR  3 1/5

3.  (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11

4.  (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x


3 0
3 years ago
Can someone help me with this?
jekas [21]

Answer:

\huge\purple{ x^2 +(y+2)^2 = 4}

Step-by-step explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

(x-h)^2 +(y-k)^2 = r^2

Plugging the values of h, k and r in the above equation, we find:

(x-0)^2 +[y-(-2)]^2 = (-2)^2

\implies\huge\orange{ x^2 +(y+2)^2 = 4}

This is the required equation of circle.

6 0
2 years ago
Please help me I put 100 points for anyone who helps me
LenaWriter [7]

Answer:

a)

<u>The discount id 40%, so the function is:</u>

  • d = 0.4p

b)

  • p = 100 ⇒ d = 40
  • p = 200 ⇒ d = 80
  • p = 300 ⇒ d = 120
  • p = 400 ⇒ d = 160
  • p = 500 ⇒ d = 200

<em>The graph is attached</em>

c)

  • p = $85 ⇒ d = 0.4*$85 = $34

<u>Sale price is:</u>

  • CP = p - d = $85 - $34 = $51

7 0
3 years ago
Read 2 more answers
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