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Anton [14]
3 years ago
15

What is the solution to the system of equations below?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

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Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work
Yuliya22 [10]

\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

5 0
3 years ago
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X^2-14x-4=0, solve by completing the square
REY [17]
The answer is: x = 7 - √53      or      x = 7 + √53

The general quadratic equation is: ax² + bx + c  = 0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0

1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53

Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
4 0
3 years ago
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ANSWER BOTH OR REPORT
jeka57 [31]
437 and 250 and 422 there you goooooo
6 0
3 years ago
ACT Geometry help! 20 points to best answer!
stich3 [128]

2j+3=3j-1\\ 3j-2j=3+1\\ j=4\\\\ 2\cdot4+3=11\\\\ l=4\cdot11=44 \Rightarrow \text{K}

4 0
3 years ago
What's $27.64×3 = <br>please help
aleksandr82 [10.1K]
$27.64×3 =82.92 answer=$82.92
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3 years ago
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