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lana66690 [7]
3 years ago
9

Which expressions are equivalent to the one below. Check all that apply. 16^x

Mathematics
1 answer:
madam [21]3 years ago
3 0

A.\ 4^x\cdot4^x=4^{x+x}=4^{2x}\qquad\text{used}\ a^n\cdot a^m=a^{n+m}\\\\B.\ 4^{2x}=(4^2)^x=16^x\qquad\text{used}\ (a^n)^m=a^{nm}\\\\C.\ 4^2\cdot4^x=4^{2+x}\\\\D.\ (4\cdot4)^x=16^x\\\\E.\ 4\cdot4^{2x}=4^{1+2x}\\\\F.\ 4\cdot4^x=4^{1+x}\\\\Answer:\ \boxed{B.\ and\ D.}

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5. The area of the trapezoid is 75 square inches. Find the height of the trapezoid. And it’s two bases are 10 and 15.
Sphinxa [80]

Answer:

The answer is 6

Step-by-step explanation:

A=½(b1 + b2) h

we substitute

Area=75

the two bases are 10 and 15

75=½(10+15) h

75=½(25)h

75=(1*25/2)h

75= 25h/2

75/1= 25h/2

25h*1= 75*2

25h= 150

we divide by 25

25h/25= 150/25

h=6

4 0
3 years ago
Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
Hey can someone help me with this?? Im very confused and need this explained to me! Thank you so much!!
Over [174]

Answer:

( C ) ΔMLN ≅ΔTSR

Step-by-step explanation:

Okay I got you!

So if the triangle <u>str</u> was flipped and rotated the other way then you will see that they are similar. They are asking what other "pairs" could you do to make it equivalent. Since M = T then you got your first pair. Next you go to N and when you look at the shape you'll see it will be S. N=S. And the last one would be L=R. I hope I was helpful enough! uwu Try to draw them out it will be helpful!!

8 0
3 years ago
PLZ HURRY i need this for test if you have the answers for all questions plz put the test is for plato algebra A1 unit3 post tes
elena-14-01-66 [18.8K]

Explanation is in the file

tinyurl.com/wpazsebu

7 0
3 years ago
Help I will mark you the brainiest!! 1-6
mars1129 [50]
1. 0-2-8
2. Use the percentage section of a calculator
3. Rafael 10 secs
4.the line is going through the origin 0,0 and the line is straight
5. Use percentage section of calculator
6. 10,000
8 0
3 years ago
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