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cestrela7 [59]
3 years ago
15

Use the graphing calculator to locate the solutions of this system of equations: y = x2 + x – 2 y = –x + 1

Mathematics
2 answers:
bonufazy [111]3 years ago
5 0

Answer:

(–3, 4) and (1,0)

Step-by-step explanation:

Naya [18.7K]3 years ago
3 0

Answer:

(-3,4) and (1,0)

Step-by-step explanation:

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Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

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Answer:

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es duhStep-by-step explanation:

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2 years ago
1) After striking a pair of arcs from each endpoint of a line segment, what is the next step in constructing the segment's perpe
qaws [65]
After striking a pair of arcs from each endpoint of a line segment, just join the intersection point of the 1st pair (above the segment) with the intersection point
of the 2nd pair (under the segment)
And this is how you construct the segment's perpendicular bisector


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3 years ago
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Can someone please help me
Ipatiy [6.2K]

Answer:

Y-int:2

Slope: 4

Step-by-step explanation:

Hope this helps!

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3 years ago
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Please please help me with this
BartSMP [9]

Answer:

x = 5

Step-by-step explanation:

Just use the Pythagorean Triangle:

13^2 - 12^2 = x^2

x^2 = 25

x = 5

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