Answer:
11.183 cm and 22.366 cm
Step-by-step explanation:
Lets call the 25 cm hypotenuse C and the other sides A and B.
B=2A
The Pythagorean theorem states that C^2=A^2+B^2 so:
25^2=A^2+B^2
substitute for B
25^2=A^2+(2A)^2
625=A^2+4A^2
625=5A^2
125=A^2
A=11.183 cm
B=22.366 cm
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Solving the inverses of these functions and applying the composite we obtain:
(G⁻¹ о F⁻¹) = X
Note that (F⁻¹ о G⁻¹) also results in X (see second annex)
Answer:
D
Step-by-step explanation:
Current coordinate of R : ( 1,5 )
Applying translation with rule (x,y) --> (x+1 , y-1)
Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )
applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3
Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )
The final coordinate is ( 6 , 12 )
We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
- .
- .
- does not exist as .
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
- .
- .
- does not exist as .
To learn more on piecewise function: brainly.com/question/12561612
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<span>-13950/1 there you go!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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