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3 years ago

Find the length of side x in the simplest radical form with a rational denominator.

Mathematics

1 answer:

Novay_Z [31]3 years ago

8 0

Answer:4.243

Step-by-step explanation:https://www.omnicalculator.com/math/right-triangle-side-angle?c=USD&v=given:0,angle_beta1:45!deg,b1:3!inch

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Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer

Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation $16x^4 - 24x^3 +9x^2 =0$

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation $16x^4 - 24x^3 +9x^2 =0$

$x^2(16x^2-24x+9)=0$

Either $x^2=0$ or $16x^2-24x+9=0$

When $x^2=0$

$x=0$

When $16x^2-24x+9=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}$

$x=\frac{24\pm\sqrt{0}}{32}$

$x=\frac{24}{32}$

$x=\frac{3}{4}$

$x=0.75$

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0

3 years ago

The sum of 5 and twice a number.

snow_lady [41]

Answer:

5+x2

Step-by-step explanation:

4 0

3 years ago

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Help me asap i need it

s344n2d4d5 [400]

Answer:x = 56

Step-by-step explanation:

180-(60+64)=56

6 0

3 years ago

Find two consecutive even integers whose sum is 14

bagirrra123 [75]

Let x = small number
Let y = large number
Because they are consecutive even numbers,they must have a difference of 2:
y-x=2
y=2+x

Eqn 1: x+(2+x)=14

Eqn 2: x(2+x)=48

2x+2=14
2x=12
x=6

This means y must be 8

so your two numbers are 6 and 8

5 0

3 years ago

Simply Each Expression

vitfil [10]

Answer:

$\frac{4}{9x^2}$

Step-by-step explanation:

$(\frac{2x^3}{3x^4} )^2$

$= (\frac{2}{3x} )^2$

$= \frac{4}{9x^2}$

3 0

4 years ago

Read 2 more answers