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Nezavi [6.7K]
3 years ago
13

Which expressions are equivalent to the one below ? check all that apply :)

Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

Answer:

its b and e

Step-by-step explanation:

Stella [2.4K]3 years ago
5 0

Answer:

Option D and E are  equivalent to the given expression.

Step-by-step explanation:

Given : \frac{21^x}{3^x}

Solution:

\frac{21^x}{3^x}

Using identity : \frac{a^x}{b^x} = (\frac{a}{b})^x

(\frac{21}{3})^x   -- Option E

Now this can be written as  21^x = 7^x \times 3^x

Identity : a^x \times b^x = (a \cdot b)^x

\frac{7^x \times 3^x}{3^x}  -- Option D

(7)^x   -- Option D

Thus Option D and E are  equivalent to the given expression.

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subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x
4vir4ik [10]

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

6 0
3 years ago
Read 2 more answers
Find the line integral with respect to arc length ∫C(9x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(2,0
Gemiola [76]

(a) You can parameterize <em>C</em> by the vector function

<em>r</em><em>(t)</em> = (<em>x(t)</em>, <em>y(t)</em> ) = <em>P</em> (1 - <em>t </em>) + <em>Q</em> <em>t</em> = (2 - 2<em>t</em>, 7<em>t</em> )

where 0 ≤ <em>t</em> ≤ 1.

(b) From the above parameterization, we have

<em>r</em><em>'(t)</em> = (-2, 7)   ==>   ||<em>r</em><em>'(t)</em>|| = √((-2)² + 7²) = √53

Then

d<em>s</em> = √53 d<em>t</em>

and the line integral is

\displaystyle\int_C(9x(t)+5y(t))\,\mathrm ds = \boxed{\sqrt{53}\int_0^1(17t+18)\,\mathrm dt}

(c) The remaining integral is pretty simple,

\displaystyle\sqrt{53}\int_0^1(17t+18)\,\mathrm dt = \sqrt{53}\left(\frac{17}2t^2+18t\right)\bigg|_{t=0}^{t=1} = \boxed{\frac{53^{3/2}}2}

6 0
3 years ago
Find the value of r that makes m<br> II<br> n.<br> m<br> n<br> (180 - x) º<br> xº
lys-0071 [83]

Answer:

(180-x)⁰ or it might also be X⁰

5 0
3 years ago
Can someone solve this real quick and show their work please. don’t answer if you don’t know how to do it:(
kifflom [539]

Answer:

m<b is 62

AB is 14 mi

BC is 7 miles

m<b is 66

AC is 29.3 miles

BC is 7 miles

Step-by-step explanation:

For the measure part triangles have a measure of 180 degrees 90+28 is 118 180- 118 is 62, for the second part you would just add four since its minus four

for the lengths you look at the congruent sides on the opposing triangles

and dont go calling me a nerd, i just like learning, i literally play starting varsity for three sports

6 0
3 years ago
Please answer asap I'll mark brainliest!!!!​
dusya [7]

Answer:

10.) 6 2/5   11.) 21/100

Step-by-step explanation:

I hope that these are correct, they are simplified.

Stay awesome! and don't forget to be K I N D! <3

3 0
3 years ago
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