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Nikitich [7]
2 years ago
8

Sometimes a dilation is an enlargement, and sometimes it is a reduction. Explain what types of numbers for scale factors causes

each.
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
4 0
If your scale factor has absolute value greater than 1, the dilation is an enlargement. 
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage. 
</span>
Hope this helps.
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Derivative of (2x+5)^4(5x+2)^-2
Sveta_85 [38]
Use chain rule

\frac{d}{dx}f(x)g(x)=f'(x)g(x)+g'(x)f(x)

and also power rule
\frac{d}{dx} x^m=mx^{m-1}

so

well, we will say f(x)=(2x+5)^4 and g(x)=(5x+2)^{-2}
f'(x)=4(2x+5)^3(\frac{d}{dy}(2x+5))=4(2x+5)^3(2)=8(2x+5)^3
g'(x)=-2(5x+2)^{-3}(\frac{d}{dx}(5x+2))=-2(5x+2)^{-3}(5)=-10(5x+2)^{-3}


so
\frac{d}{dx}(2x+5)^4(5x+2)^{-2}=8(2x+5)^3(5x+2)^{-2}+(-10(5x+2)^{-3})(2x+5)^4)
simplify yourself
3 0
3 years ago
A quadratic equation is shown: x2 + 18x + 76 = 0 Which of the following is the first correct step to write the above equation in
tia_tia [17]

Answer:

  x^2 + 18x + 76 + 5 = 0 + 5

Step-by-step explanation:

The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.

The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:

  x^2 + 18x + 76 + 5 = 0 + 5

Then the next step would be to write the left side as a square:

  (x +9)^2 = 5 . . . . . . . p = -9; q= 5

4 0
3 years ago
A student is trying to solve the system of two equations given below:
erma4kov [3.2K]
Your answer is the third one. WHen it comes to system of equations, this will cancel out 4a, therefore isolating the variable. That turns the equation into -2b=-5.
5 0
3 years ago
Solve for the variable a D =a+b-c/3
yuradex [85]
Hey there,
solving for a is just like you think of all other letter as a constant
i.e the only variable is a
so you need to subtract b as a start
      d=a+b-c/3
-b             -b
=============

    -b+d=a-c/3                now it's time to add c/3 (isolate a by itself in one side)

     -b+d=a-c/3
+c/3         +c/3
==============
c/3-b+d=a

Hence you have solved for a




4 0
3 years ago
I NEED HELPPP<br><br> Whats the length of LN?
andre [41]

Answer:

LN = 66 cm

Step-by-step explanation:

The 3 parallel lines divide the 2 sides they intersect in proportion, that is

\frac{DE}{EF} = \frac{LM}{MN} , substitute values

\frac{7}{15} = \frac{LM}{45} ( cross- multiply )

15LM = 315 ( divide both sides by 15 )

LM = 21

Hence

LN = LM + MN =  21 + 45 = 66 cm

3 0
3 years ago
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