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3 years ago

I need to know how to analysis this

Mathematics

1 answer:

suter [353]3 years ago

7 0

This triangle is separated into two right triangles
if AB=BD(given) so the hypotenuses are congruent

one of the sides is same between the right triangles (BC)

so according to HL theorem, if the hypotenuses and one of the sides (except hypotenuse) between two or more right triangles are congruent to each other
the triangles are congruent

hope you understand it
good luck

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taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

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:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago

What is -9x-(2x/-3) When x equals 7

yuradex [85]

$-9x- \frac{2x}{-3}$

$-9*(7) - \frac{2*7}{-3}$

$9*7 = 63$

$\frac{2*7}{-3} = \frac{14}{-3}$

Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$

$= - \frac{14}{3}$

$-63-( -\frac{14}{3} )$

Apply rule - ( - a) = a

$-63+ \frac{14}{3}$

Convert element to fraction :

$63 = \frac{63}{1}$

$-\frac{63}{1} + \frac{14}{3}$

Find the LCD 1*3 = 3

$- \frac{63*3}{3}+ \frac{14}{3}$

$\frac{-3+63+14}{3} = \frac{-175}{3}$

<span>Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$ </span>

$= - \frac{175}{3}$

hope this helps!

4 0

3 years ago

What is 8+w/4 when w =16

saw5 [17]

Answer:

Step-by-step explanation:

8+w/4, when w=16

8+16/4

8+4=12

4 0

3 years ago

Read 2 more answers

What is the degree of the polynomials below <br> 2x^7+4-3x^3+5x^8-4x

Nikolay [14]

The Answer should be 8

7 0

2 years ago

How many centimeters are in 4.4 inches

marissa [1.9K]

4.4 inches = 11.176 centimeters.

1 inch = 2.54 cm.

So, to get the answer, you have to multiply 4.4 x 2.54, which gets you 11.176 centimeters.

7 0

3 years ago