3 years ago

The system of equations is graphed in the figure. What is the solution of the system ?

Mathematics

1 answer:

Hunter-Best [27]3 years ago

7 0

The answer is (3,-2)

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Which math sentence can be used to determine if this triangle is a right triangle?

VashaNatasha [74]

Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle

a^2 + b^2 = c^2

12^2 + 15^2 = 18^2

If this is true, then the triangle is a right triangle

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3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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To go to school each day, Myra walks 20 yards due south to the bank then 48 yards east. Which measurement is closest to the shor

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Step-by-step explanation:

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The correct border is b a c.

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