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2 years ago

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

Mathematics

2 answers:

Yuliya22 [10]2 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]2 years ago

4 0

Answer:

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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1 year ago

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<h3>Answer: 42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

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1 year ago

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3 years ago

Read 2 more answers

Would you solve the equation 0.25x + 7 = 1/3x – 8 <br> using fractions or decimals? Explain please.

mamaluj [8]

Answer:

$x = 180$

Step-by-step explanation:

Solve the value of $x$ :

$0.25x + 7 = \frac{1}{3}x - 8$

-Combine $\frac{1}{3}x$ and $0.25x$ by subtracting $0.25x$ by $\frac{1}{3}x$ :

$0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8$

$-\frac{1}{12}x + 7 = -8$

-Subtract $7$ on both sides:

$-\frac{1}{12}x + 7 - 7 = -8 - 7$

$-\frac{1}{12}x = -15$

-Multiply both sides by $-12$ , the reciprocal of $-\frac{1}{12}$ :

$\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}$

$x = -15 (-12)$

$x = 180$

Therefore, the value of $x$ is $180$ .

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3 years ago