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kramer
3 years ago
6

When I write my expression in rational exponent form, what is the fraction that goes with the base of 10?

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer: Choice A

\sqrt[4]{3^3}

The fourth root of 3^3

=============================================

Explanation:

The exponent of 1/4 means "fourth root", so,

3^{1/4} = \sqrt[4]{3}

The outer exponent 3 can be moved inward like this

\left(3^{1/4}\right)^3 = 3^{1/4*3} = 3^{3/4}

Then we can use the rule

x^{m/n} = \sqrt[n]{x^m}

This means

3^{3/4} = \sqrt[4]{3^3}

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Solve<br> y=-x2+2x+10<br> y=x+4
Marizza181 [45]
Y=10
explanation:
-4•2= -8
2•4=8
-8+8=0
y=10
4 0
3 years ago
PLEASE HELP I HAVE NO IDEA HOW TO ANSWER THIS :(
dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

7 0
3 years ago
A. 29<br> B. 24<br> C. 20<br> D. 14
slava [35]
The answer is C. Hope that helps
3 0
3 years ago
Read 2 more answers
Need help with this plz
gogolik [260]

Answer:

x =  \frac{ - 24 \pm \sqrt{ - 288} }{4}  \\  =  \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\  =   \frac{ - 24 \pm \sqrt{ - 1}  \sqrt{ {12}^{2} } \sqrt{2}  }{4} \\  =   \frac{ - 24 \pm i 12\sqrt{2}  }{4} \\  =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\=  -  6  \pm \: i3 \sqrt{2}

3 0
2 years ago
-2j &lt; -14
Novay_Z [31]

Step-by-step explanation:

-2j < -14

Divide both sides by -2:

j > 7. (D)

7 0
3 years ago
Read 2 more answers
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