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4 years ago

A triangle has side lengths:

Mathematics

2 answers:

mariarad [96]4 years ago

4 0

Answer

5^2 + 12^2 = 25 + 144 = 169 = 13^2

Therefore, it is a right triangle.

Step-by-step explanation:

insens350 [35]4 years ago

3 0

Answer:

5² + 12² = 25 + 144 = 169 = 13²

Therefore, it is a right triangle.

Step-by-step explanation:

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1 - (2n + 9) = 4(1-2)

Vikki [24]

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

6 0

3 years ago

Read 2 more answers

Radon went to America on holiday . She took 750 USD Dollars with her to spend

Alex777 [14]

Answer:

Step-by-step explanation:

4 0

2 years ago

For each ordered pair, determine whether it is a solution to the system of equations.

-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

For (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

#SPJ1

3 0

1 year ago

Factor completely 2x3 + x2 - 18x – 9.

lys-0071 [83]

$2x^3+x^2-18x-9=x^2(2x+1)-9(2x+1)\\\\=(2x+1)(x^2-9)=(2x+1)(x^2-3^2)\\\\=(2x+1)(x-3)(x+3)$

6 0

4 years ago

Read 2 more answers

Los puntos de intersección de los gráficos de f(x)=x2+6x−7 y g(x)=4x−10

alisha [4.7K]

Answer:

Those graphs do not intersect.

Estes gráficos no se intersecciónan

Step-by-step explanation:

The intersection points are x for which:

$f(x) = g(x)$

In this question:

$f(x) = x^{2} + 6x - 7$

$g(x) = 4x - 10$

$x^{2} + 6x - 7 = 4x - 10$

$x^{2} + 2x + 3 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$x^{2} + 2x + 3 = 0$

So $a = 1, b = 2, c = 3$

$\bigtriangleup = b^{2} - 4ac = 2^{2} - 4*1*3 = -8$

Sincce $\bigtriangleup$ is negative, there are no solutions, which means that those graphs do not intersect.

7 0

3 years ago