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WINSTONCH [101]
3 years ago
8

Find the simplified form of the expression. Give your answer in scientific notation.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0
It's answer will be 36x10^5 As we have (4x10^10)(9x10^-5) All terms of this expression are being multiplied So we will solve it in two parts, simple terms and terms having powers (4x9)(10^10x10^-5) As we know when same terms having some powers are multiplied, their powers are added (36)(10^(10-5)) (36)(10^5) So it will become 36x10^5
Kamila [148]3 years ago
5 0

Answer:

The answer in C

Step-by-step explanation:

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The graph of a function f(x)=5to the power of x -5 contains the point (2,y) what is the value of y
Mila [183]

I believe this this the function.

f(x) =  {5}^{x - 5}

then

f(x) =  {5}^{2 - 5}

then

f(x) =   {5}^{ - 3}

then

y =  \frac{1}{125}

3 0
3 years ago
Very Confused please help!
Nataly_w [17]
We know that<span>
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. 
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that</span>
<span> Circle 1 is centered at (5,8) and has a radius of 8 centimeters
 Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-2)
so
center circle 1 is now equal to center circle 2 
<span>The circles are now concentric (they have the same center)
</span>
step 2
<span>A dilation is needed to decrease the size of circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 4/8----> 0.5

radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal to radius circle 2 

<span>A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

the answer is
</span>
</span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
4 0
3 years ago
2x+3=-7<br><br> What is the answer?
Mashcka [7]

Hi there! With equations like this we want to get our variable on one side and and our constant on the other.

So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.

Hope you find this helpful :)

4 0
3 years ago
MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.
Mkey [24]

Answer:

  • x=14
  • \angle{LMN}=124\textdegree

Step-by-step explanation:

<u><em>To Determine:</em></u>

Solve for x and find angle LMN.

<u><em>Fetching Information and Solution Steps:</em></u>

Considering the angle \angle{LMN}

As MO bisects the angle \angle{LMN} into two equal angle parts. These equal angles are:

\angle{LMO}=6x-22

\angle{NMO}=2x+34

As these angles are equal. i.e.

\angle{LMO}=\angle{NMO}

6x-22=2x+34

\mathrm{Add\:}22\mathrm{\:to\:both\:sides}

6x-22+22=2x+34+22

6x=2x+56

\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}

6x-2x=2x+56-2x

4x=56

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4x}{4}=\frac{56}{4}

\mathrm{Simplify}

x=14

Hence, x=14

As  \angle{LMN} was cut into two equal parts \angle{LMO} and \angle{NMO}

So,

\angle{LMN} = \angle{LMO} + \angle{NMO}

            = 6x-22+2x+34

            = 8x + 12

            = 8(14) + 12     ∵ x=14

            = 124\textdegree

Therefore, \angle{LMN}=124\textdegree

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

#learnwithBrainly

3 0
3 years ago
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of
Liono4ka [1.6K]

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

3 0
2 years ago
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